답안 #897760

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
897760 2024-01-03T16:09:25 Z denniskim NoM (RMI21_nom) C++17
100 / 100
102 ms 33616 KB
#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,avx,avx2")
 
using namespace std;
typedef long long ll;
typedef __int128 lll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MAX 9223372036854775807LL
#define MIN -9223372036854775807LL
#define INF 0x3f3f3f3f3f3f3f3f
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10);
#define sp << " "
#define en << "\n"
#define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end())
 
int n, m;
int ss = 1000000007;
int ans;
int cou[2010];
int dp[9000010];
int fac[5010] = {1,1,2,6,24,120,720,5040,40320,362880,3628800,39916800,479001600,227020758,178290591,674358851,789741546,425606191,660911389,557316307,146326063,72847302,602640637,860734560,657629300,440732388,459042011,394134213,35757887,36978716,109361473,390205642,486580460,57155068,943272305,14530444,523095984,354551275,472948359,444985875,799434881,776829897,626855450,954784168,10503098,472639410,741412713,846397273,627068824,726372166,318608048,249010336,948537388,272481214,713985458,269199917,75195247,286129051,595484846,133605669,16340084,996745124,798197261,286427093,331333826,536698543,422103593,280940535,103956247,172980994,108669496,715534167,518459667,847555432,719101534,932614679,878715114,661063309,562937745,472081547,766523501,88403147,249058005,671814275,432398708,753889928,834533360,604401816,187359437,674989781,749079870,166267694,296627743,586379910,119711155,372559648,765725963,275417893,990953332,104379182,437918130,229730822,432543683,551999041,407899865,829485531,925465677,24826746,681288554,260451868,649705284,117286020,136034149,371858732,391895154,67942395,881317771,114178486,473061257,294289191,314702675,79023409,640855835,825267159,333127002,640874963,750244778,281086141,979025803,294327705,262601384,400781066,903100348,112345444,54289391,329067736,753211788,190014235,221964248,853030262,424235847,817254014,50069176,159892119,24464975,547421354,923517131,757017312,38561392,745647373,847105173,912880234,757794602,942573301,156287339,224537377,27830567,369398991,365040172,41386942,621910678,127618458,674190056,892978365,448450838,994387759,68366839,417262036,100021558,903643190,619341229,907349424,64099836,89271551,533249769,318708924,92770232,420330952,818908938,584698880,245797665,489377057,66623751,192146349,354927971,661674180,71396619,351167662,19519994,689278845,962979640,929109959,389110882,98399701,89541861,460662776,289903466,110982403,974515647,928612402,722479105,218299090,96415872,572421883,774063320,682979494,693774784,611379287,166890807,880178425,837467962,705738750,616613957,338771924,497191232,896114138,560652457,661582322,224945188,262995829,859081981,857116478,279856786,408062844,406076419,367193638,985761614,767884817,77737051,801784560,410447512,813374614,702909132,777826615,11426636,685259446,721228129,931065383,593559607,860745086,578819198,495425745,893029457,6156532,502193801,37480384,220174401,383076669,3013247,750298503,574624441,230733683,144887710,656590378,773954850,358485371,772254339,469363737,95843299,823414273,87709482,892174648,749756145,185864756,68295241,98238739,131504392,111672419,928208089,687974198,753032165,71715287,506557931,290314197,546089425,174590825,187067364,817659471,309331349,303445769,964814732,112937795,848457973,113604679,263728612,162653895,519013648,956915940,591788795,26960558,818561771,201473695,830318534,283328761,298655153,103269519,567777414,629890782,707451727,528064896,419467694,259775012,452053078,972081682,512829263,412924123,354780756,917691336,648929514,519218426,957710940,848100261,607279584,78508462,651656900,271922065,927371945,976904514,655633282,147015495,44958071,431540693,956102180,821001984,4640954,508310043,709072863,866824584,318461564,773853828,371761455,53040744,609526889,972452623,799173814,723225821,3874155,305590228,289496343,139259591,348260611,756867525,848691744,101266155,835557082,267191274,448180160,518514435,443022120,614718802,151579195,204297074,912569551,137049249,515433810,979001276,524451820,229298431,88837724,892742699,387369393,840349900,206661672,18186411,619853562,246548548,236767938,893832644,930410696,321544423,971435684,402636244,780681725,194281388,661238608,964476271,643075362,439409780,96895678,723461710,915447882,785640606,114709392,933696835,539582134,739120141,300372431,244129985,722433522,26638091,388855420,42468156,647517040,474194942,832805846,958306874,489519451,339220689,9833277,923477502,390998217,790283925,694135631,736657340,609563281,873127083,489593220,264439147,891171227,489029295,502009550,325923608,280525558,857054649,820622208,558213940,216997416,487921842,951328535,606653379,794417402,449723904,783486165,414645478,809681447,114612567,824953206,255016498,147060381,88903008,228293174,394357308,362355866,900088886,638573794,779598451,904922263,451026166,549459329,212643744,563246709,391796933,174243175,189725986,238337196,60051478,782959006,982673239,237607992,685987666,694447544,195840153,519748540,446086975,523485236,185780714,716004996,214280883,140643728,555470704,516522055,116665689,899547947,490696549,683197147,686671136,988747143,744912554,619072836,345158054,224284246,637879131,78947725,342273666,237716550,915360466,711578771,423071394,228124918,271834959,480779410,254894593,859192972,990202578,258044399,151532640,644862529,48049425,448119239,130306338,850105179,401639970,606863861,183881380,837401090,513536652,714177614,946271680,243293343,403377310,688653593,15447678,754734307,631353768,202296846,159906516,912696536,737140518,467380526,896686075,309895051,356369955,461415686,706245266,10064183,183054210,455971702,737368289,956771035,564163693,365118309,226637659,304857172,440299843,717116122,485961418,615704083,476049473,354119987,329471814,620060202,251964959,45357250,175414082,671119137,48735782,122378970,717506435,18459328,949577729,771970076,635808197,608040366,165916428,258536202,902229110,617090616,548564593,613394864,753777984,577888302,416452176,881599549,524547188,599140122,522765386,657552586,256787840,287613719,776067801,597965522,458655497,764387515,350167935,494713961,513386012,576480762,864589772,86987059,495636228,512647986,721997962,982831380,162376799,204281975,462134806,189646394,425968575,209834628,494248765,664281698,947663843,540352769,25662122,986679150,207298711,477043799,24708053,528335066,189351697,717500453,42764755,316734785,823726196,293357001,547414377,258966410,602945692,561521296,351253952,752369730,174204566,871148004,302242737,554611874,540181425,349941261,414343943,921115587,959388563,227019335,708812719,793380997,342547759,324322556,458370547,356254978,809319893,159690374,848340820,971304725,180230004,103061704,207441144,443272953,45593686,541647240,612817107,849140508,109375794,906749744,159084460,541378020,692284266,908221578,720697998,363923522,819281897,701846632,479994712,196613531,29272489,792937812,859009553,202148261,385627435,115321267,612859231,132778909,173511339,782369566,322583903,324703286,31244274,433755056,109559692,871157455,350443931,592104988,197184362,141678010,649163959,746537855,954594407,850681817,703404350,467293824,684978431,565588709,378843675,825260479,749777538,850502015,387852091,412307507,307565279,914127155,864079609,845970807,414173935,638273833,664477235,173471099,480759791,839694748,190898355,956270620,957911348,43002811,628936576,966234409,667971950,236586166,954211897,223051884,21058295,656573222,631532535,809706350,984734695,314281677,311454037,640732448,434907794,175084834,434807109,973816812,488481268,844735329,917344075,314288693,459259162,992521062,667512257,603748166,679935673,833938466,933875943,522922384,981191471,457854178,112860028,484939649,611363777,627371454,844300972,962501388,738504183,631041465,29224765,334078303,211237785,626057542,900175080,728504100,450509755,575177363,905713570,416609984,874776027,334255451,683287462,999293262,474888472,317020697,180417613,591538360,879151833,605566485,569294094,970567518,896200922,943088633,145735679,884701203,949403596,749113557,78958680,850679027,665376978,686499745,426302291,842343474,708066168,962548572,349652428,833757979,492365420,136639914,76093131,591710464,208764552,166233017,498121245,545840935,26721664,736011124,880639351,137410283,42609708,235572009,981737748,718913567,909319027,906112184,298059463,274736280,217450848,351267027,149682364,249066734,11785215,333890217,774940233,302540697,519852435,802535369,620684620,306323295,752310997,848793393,883503040,569433124,254795373,855478464,660158704,87911700,944741410,351053939,2634663,134077016,736459220,4882454,969435081,120150411,922584286,828772112,106810765,371205161,17024731,960279329,389323593,23991206,744762405,684217429,479374977,963728237,3246420,688035746,381629444,752436308,274567573,440219140,702541058,919238277,563955926,467150839,5249506,399086000,833151662,847391187,655983283,337920422,866913758,675206635,549602585,963783662,324756002,393087771,731515248,787956453,550936813,398161393,631665856,442637251,454846959,348994181,88011024,513458067,60476466,9760396,403700900,990173371,519613195,945797344,114696834,327457551,905694736,143025346,289024806,451579463,325709522,18701196,326143996,49850509,619195074,414881030,850660769,880149960,651809429,592293509,810577782,929598726,835669318,731671946,529667681,285562083,293565850,686472980,274474950,282703792,889076915,56602629,546147347,255724802,873696194,831784350,110556728,279941051,667003092,302778600,803516696,772054724,165410893,531446229,958833885,703493734,68812272,481542542,722167619,172528691,173636402,356397518,390931659,311533827,53449710,959934024,259493848,215350798,907381983,791418522,896453666,530274270,443147787,468552325,410897594,491169384,314015783,406644587,772818684,721371094,596483817,922913559,78344520,173781169,485391881,326797438,209197264,227032260,183290649,293208856,909531571,778733890,346053132,674154326,75833611,738595509,449942130,545136258,334305223,589959631,51605154,128106265,85269691,347284647,656835568,934798619,602272125,976691718,647351010,456965253,143605060,148066754,588283108,104912143,240217288,49898584,251930392,868617755,690598708,880742077,200550782,935358746,104053488,348096605,394187502,726999264,278275958,153885020,653433530,364854920,922674021,65882280,762280792,84294078,29666249,250921311,659332228,420236707,614100318,959310571,676769211,355052615,567244231,840761673,557858783,627343983,461946676,22779421,756641425,641419708,61123214,245460001,196379281,164796745,620727570,451931052,94566179,322707767,612134628,255969954,785621688,49142691,781545640,487273416,582513782,833998375,176341439,515583649,379734656,329346411,262683279,462309262,942371722,988636580,352487409,652079107,685238206,424870840,192091301,854038651,513843021,285993962,431760681,440541032,959964935,523665702,41329173,899681280,768843382,597111687,593261820,178812114,501033600,79074739,633101681,224353692,898313886,432945941,160288931,303376374,848566848,692317852,10693053,270477785,354061180,888603469,253860160,584047404,506196510,568296848,962951514,654500714,734254117,246375021,389395531,95633141,40560733,318862543,864056087,540006622,347088116,78457748,185163016,865077798,958626347,481942155,51697302,729691171,336768000,709437459,901887817,842611169,547889643,912368861,920207262,345079539,101456268,384418814,632085520,973211984,774267117,499685849,156629135,352272493,738377140,261339777,689733367,327231667,627599520,359467170,773351405,233242346,266305839,1644198,816838783,423687677,22255156,658712680,512357010,716277124,783879199,673663191,787126340,858736628,491333521,328205600,605652638,119644545,882244924,114307964,139226748,212410164,536612506,152452523,509087178,232158417,642534132,778495828,921783666,615535293,170411511,905829108,304372182,158051973,388988102,890480785,476645461,422530824,262605169,369890567,45133993,543019649,671454467,143904872,771077292,654570451,792302047,562743593,592383835,241405483,857708994,80754172,109559665,431852528,789666354,854298840,423750964,703612882,487324533,296454325,183468917,190880063,993511722,447636316,496304493,691034792,437596622,112850919,922723394,586363427,631568215,197942800,186902776,423857491,32548439,276963998,986623371,242322904,698701821,468143012,876893308,487882804,165353093,778060747,1978741,346786812,635942967,500239511,784774421,881554459,931353326,173156822,576087204,848116767,499529474,437246725,384326164,422741252,866757606,109119920,53023003,733649165,579939321,246937598,559803511,123029541,496654951,959176615,644519422,868495167,747639880,139528218,247727251,740880614,169939710,646685918,16756697,409656806,371643021,404482449,873066778,887595254,528988047,481364999,672119652,18687584,929665414,629120405,188972334,435969196,678076524,390271723,205031092,8365757,331709825,993340837,762606773,107178366,793994550,553235112,564769190,443329073,58033882,194148704,715134793,57945841,258463223,562100050,62957536,696919454,846230857,481025551,725011189,164024643,850925530,762458204,409955722,724294671,886984412,600351301,42985262,247400266,466533774,698686213,838053264,975424804,863218023,560445506,205342137,784512170,114961091,230506730,435065239,273110608,216022764,645044939,722381342,203348615,82876765,82258458,373083963,293637220,736550628,730999737,334655472,366933982,244031530,312608442,952278924,439803364,786138955,691522755,138915957,757247105,634994115,952367286,220361297,28961504,620993437,291462451,192646098,825217846,258845813,534937793,93814979,522361720,726763266,606345278,705963351,811983342,510153914,321930485,694723851,867133830,280978470,767663937,13397952,658500617,562307747,246220846,257735291,726052322,567215286,993033414,769264345,44514330,70515497,644579365,645970093,140217677,629726785,796071754,163640655,296632244,4042968,401405213,678766029,188940446,991255430,282266904,519915618,726754477,31255779,7766682,446187220,567993920,87804885,360984154,967620344,287455258,352050842,972735059,110525615,651681667,28652604,852930758,427030507,907424453,189822996,159272754,770216682,35113541,859756054,707249452,395495225,246473570,929367838,375193487,639880112,635747308,609553171,306944760,435152533,899576163,917215473,88482014,839732431,151281819,617626945,325178136,71002673,125693400,833970989,215840698,939364644,959387477,670421289,544742622,647496666,20359440,319980844,413331733,771100044,913453818,268067192,221797414,850985195,677294287,534700884,581232364,306536266,763841929,670218890,987314980,177537191,617288803,525339745,678355787,803297198,649041256,797205811,654597257,945917673,527580263,526066923,910757760,543736890,18904623,825659855,436985896,956953876,788402152,896254449,266326444,515180047,646741884,900662014,145346990,700847261,211576216,765562982,286182552,99594146,818004370,836262739,873284804,910254570,946062504,383933729,864565896,839447421,483172612,218074237,899196030,338254257,115652199,348730784,962171704,186789338,844538210,424934135,4359701,334645511,574569592,998750515,180739662,337685693,345736950,430206522,101517724,317393728,29627088,344429443,244701024,486997654,938555773,861309359,402130164,729206786,933967923,866805122,937130659,393451047,946839225,587847103,662317959,243618597,68283846,991807534,875140051,82406459,126371384,408761163,601561650,319043999,99379196,776863423,972765339,447579635,893651488,434359284,64047192,622456991,950738051,353376298,650938112,454346846,611570548,744245040,367552188,695830331,137149847,136218599,872771468,521050149,701518906,188983943,987784056,566130074,856405762,29097324,995153587,667366596,393019274,424195945,81048119,949995669,93415448,898064525,58068445,322104229,242633108,530220901,56647468,387388098,154233411,514416952,29097154,489548158,8676497,283716816,654159074,825853428,859149690,794764924,758914724,451922626,56993923,713646888,16199827,963933239,385044136,123097690,62832030,75485671,700846554,209611450,478522332,231087081,184973044,893189242,229693882,714596254,482570946,397815780,1349347,100933265,254025771,26174217,831778240,405823554,896386917,52741464,487649122,170870589,583340505,94564937,277820180,899859375,779208866,137119918,552509591,97580560,591800369,85574651,865649038,128523371,809878024,797390950,877692187,631337938,776610930,375093587,148237650,956673612,284338013,244423474,144473996,569178041,993078862,988458389,625744277,810626289,138295622,581515550,98811304,801651389,38910655,218136911,19055157,507306147,704441810,220213527,222494837,104210886,362681747,829563355,937865509,25593418,205402693,903736113,822603964,860184650,338015384,894841345,63603398,846693852,950642953,90930134,306816051,348815192,778237469,79403346,951033008,428627185,947797938,67234332,457491733,254027842,65379562,634064880,793876922,401004554,241436651,748921627,235773197,960720794,660649561,804622905,581554967,331694169,641821690,513029292,420150147,146986978,940564101,109063504,736653339,741347513,223387889,813402163,740363875,821476814,722640850,970598385,310914311,185009722,746116934,807984847,254836633,283644452,417075927,597261750,843545049,502496757,159591303,38700239,551998204,284996029,943365105,363079423,68791007,87353906,230437622,983014155,531712251,681438690,454113819,457096767,922563191,828713221,895627971,341864644,700056471,595145382,415107031,285556397,19194762,419952794,720216897,886764308,405198636,1285946,178392510,375302336,512757404,149308498,525827833,381482016,519422664,537945283,582865261,619532539,683439071,263607900,715074257,631748159,25848019,174264163,991716651,827177989,128707256,475527988,54965727,266221147,835485060,527837982,825646734,286725813,168394909,807636366,749812522,926966369,90008970,265472165,204953584,954837097,958492073,232782618,713926326,806461661,791587080,820400043,573664608,308087915,840616702,151201154,787603818,643029919,872051234,241187768,149088916,861978775,290973079,748019306,41699134,848386594,979755938,593123571,966241991,889714404,779624902,682443644,6143197,781310665,981518143,527365183,107985225,946009452,976623872,834626559,611986668,932488138,909063924,497814632,140633959,500203817,360342268,445467633,477704894,15361352,220315555,619476285,950921904,886367791,189185798,183160694,659711657,627029592,112665948,658051988,648634412,515148504,24924703,490594547,201854810,714542950,602785661,383539983,536564768,987492768,587027873,540968925,498244660,349158442,88557443,137723958,627674755,186876342,377413248,721254895,701311697,464980843,825434906,909994907,450790541,578501889,931407997,917054785,869149237,29257189,14026097,429313686,775020958,663028928,60524820,973597177,999655403,373165331,160897667,994649563,251491102,468275740,134943782,272400428,403178049,606290371,298790432,487696306,484233736,631964414,758798349,877363987,85540895,967541233,405691356,255015757,718958090,163918256,609588933,253217799,427182496,297334619,285033600,886988325,380436491,666193963,126435007,778326312,903667127,687840373,880361885,310561488,780994727,745208449,106871663,460676805,937497705,808221401,291795339,31122078,949308837,562350955,222172784,352239262,278458293,881629398,883703942,642656041,766788263,660830035,73816861,258979687,327930043,868826327,918178049,420185912,109137213,68821792,384968057,124910149,80898773,332388495,219920198,549570332,489638900,948597839,952707502,664458685,826905865,678979774,629723420,66425716,810305229,528398210,842999153,169382048,487124857,50096968,184238535,237452585,634813513,50106783,403314167,313482759,498134475,942437182,170130670,779446762,743305004,455852704,590363951,366230360,964904140,791415171,351457024,743110297,285539671,950624820,199641625,511558944,216283487,913142596,886342412,209131158,786607494,792630333,191271328,962389136,411019481,678612260,78877143,469516355,44624214,347853488,444348057,702180389,825584362,808066718,649421951,527998071,372246707,275346640,273864415,666283451,587586574,31051570,488457940,4518396,810872144,11541870,529730086,562850720,810299187,134899497,863414291,701755664,37580494,620187235,566972095,832270518,914744892,644210431,229277629,530537835,37376309,519199292,784199509,88822413,980152392,880351115,52386628,358816323,303416646,247871657,794390809,510618403,3194064,321052614,684171275,343286290,393422020,155860200,226634637,869751302,326073683,908403592,906328261,686898515,928035288,718245479,744984158,753416506,312502450,442383389,997238270,484811253,652876718,100550147,100292593,685477193,325330782,637551789,653776217,821305915,539653961,85492146,668227971,469984345,668526842,407469854,829340515,462445012,364247651,959011634,367440613,127711234,721268413,240915655,649619698,881400474,191745954,902062233,773946817,242293456,886538426,13376923,128399655,522898175,483287823,557561646,965256748,366954950,386363078,248858228,675348666,685223017,484498874,893197177,122228326,468011623,679727481,683233967,530218776,297389332,458569016,690769186,695283030,634918502,582919993,568897278,377206287,404501793,846677012,921247487,84820014,474767580,71672801,574296230,50225519,514793938,505092729,6292633,987994428,208479540,718726630,607933815,207120621,532561853,403027996,670973878,257865486,555148740,378478703,343303230,697500496,708520056,304666064,400742625,544654169,425317758,511565961,591889308,497309241,889760233,39833046,131566421,710685130,621226182,362711294,429310448,117450930,824794775,120246761,916962538,953466201,418609504,242733246,497079791,867553799,730518945,550811645,356881329,878310966,844570494,665447918,98753412,172191040,150900819,400725864,932292989,2778985,871995270,397987879,744358198,61935943,118390414,750895102,146710001,25199943,449078732,945062640,367970678,569714605,643527155,138721954,61594093,72228987,775512252,841085203,352555049,647359211,817187403,877905801,328872017,470623398,722194491,51810950,823621280,549526866,537011874,279426058,810038108,721691400,28042164,178483524,204123347,456946290,977570343,776222743,655108510,793503657,413361565,380804780,634295160,540355391,546570232,498552403,374630545,201971537,460488405,575924645,724998420,896569904,73828573,912688005,794892996,328003267,439081146,806080156,6426,13957272,329151846,576108199,35324054,865140972,411882863,80869335,214279733,129814671,125795470,485713622,312829406,219417923,428158402,954260227,967101847,18826424,211041849,181646076,986549737,517008370,799347479,768356655,542845923,89638564,935923736,160357329,625764007,680805768,453484882,573703178,868092293,275400381,257835856,785894360,468840382,199556211,819667019,464099313,123573861,345378621,322882925,862790952,81945303,590790181,781822114,81436714,708067106,908964323,809747257,258392461,406436785,915403519,772815523,287342158,910981393,666529401,694024434,674476991,758156393,205057332,893019157,4782773,689497585,716589273,10192480,810770086,314209849,830056839,157363179,808244854,893194838,329202444,59481607,595688391,511805211,538106278,201010752,274188836,199065517,295541148,854201789,370818931,196683553,718092467,734686679,922509576,949117603,5767765,40916574,553289744,94681908,359838214,33549005,22044798,975556723,562632280,612634388,680051030,395878322,435541291,985347520,680244800,556909171,525264327,26864207,196663119,195245065,158745085,97536351,577951428,463100891,722427645,747157275,1518694,473253157,803215642,560591672,754919899,521476506,224143387,960782800,35727772,995236173,62237213,958877267,499944145,371581312,637011622,763731967,110975728,577099799,637927593,423091575,649165125,623932896,37113888,695966797,683289821,82765278,353321399,232390168,750844993,206146629,435589425,260690662,280950288,523713315,14882295,541806457,74584348,259439193,936680318,781724111,290269460,457028695,962794519,348419057,816397133,21703702,613032714,205311752,197625815,456274798,857920673,960598773,879915559,122478095,598740298,651027811,707122694,788460450,151281864,755968602,502327881,963528461,364810594,940079314,186372437,161596321,74544332,402811971,219373098,623642178,300961085,365272382,312270729,646644559,81148558,591744101,699556783,52666658,503978644,909484723,840839561,267226957,793429752,635069335,114313415,37105068,13220680,372673423,726700014,912521175,150296624,255072749,562992880,360052147,924103868,291294308,863036805,616691923,193534142,578925443,316097331,524323819,85271008,712436691,723679576,317854106,307016232,689838038,472251415,42131008,945894468,309023927,39371759,452849183,838031598,113852714,474217117,543724178,112914763,560003118,367492479,554390765,972952782,843235437,197388946,904745481,246084898,802854723,91287756,459929200,188939423,666582199,795745905,909330727,580343940,12668905,684087700,544485501,832845191,649574042,866614867,274267488,921456209,217115995,591864161,821765325,533256414,412846183,867602394,611814606,380369786,961162000,312939599,259676620,610948369,324958292,548143513,114592886,65011424,952930574,868167694,406332350,701585842,183715032,101825250,573686007,678079322,328565225,299056508,183722002,221233755,571332234,334621344,833879142,342674963,323078042,418133839,863638254,4642960,444896323,114324839,39375839,179569973,358260236,902776732,761289162,906795297,504753787,760860302,129234269,984047811,486410788,325924229,966158042,71927388,451848382,487676277,900187321,65289712,244933186,903896140,989684451,334896854,558263775,76790020,283938483,574694687,713844667,328587038,824654077,336561786,394773762,144850574,981581899,954730329,780536120,901358576,100499936,651837987,854146011,489888586,150676506,896674409,756076438,751846101,885546402,492546256,768732669,593916342,699589679,167620044,899647801,313147063,817446181,964361707,155846330,44441509,125926423,838289433,680803513,709661805,315368684,252027573,377727658,650968055,600135676,543520999,738680835,817222793,659765758,165950577,16610902,158468982,352742484,965903095,359747217,477419216,77057790,35016388,116706837,135604923,385736466,856508494,240135925,346604466,187986578,741743703,671660508,420925427,464458460,155815451,420105421,629659400,298393323,886901539,354825482,62878521,157648196,209971716,577447774,730977717,419786407,11485630,506583267,918987083,715773859,970352468,716882692,256036293,293449862,926839227,464671263,922507635,147174012,708948307,795567564,155435870,490849403,354848476,283304041,624244902,921550176,971838800,90635588,746171282,329778131,784909574,270511137,705884471,770189428,411741095,291616232,618965437,691159507,14705621,249319955,730518374,539314215,374206032,806706542,277233738,748349912,696556839,316780232,796399738,399701365,19958072,150441772,254789257,273902393,528655076,490324211,668775417,522804866,748739337,445788543,857551570,357752367,742204442,286646614,734003100,226130204,270171954,282062096,823307293,121472721,716199439,753109692,690914847,560609105,765590441,861978791,900034747,191680708,37065578,890190819,884127341,748545911,155374831,966425125,160862851,803963622,895656160,593151236,850764403,376416568,256731350,108266783,340040073,806387501,765187669,103622302,428076791,256179303,436941213,700559659,889799210,535279647,984969633,944053577,846818670,465377084,626051425,931241635,415148048,860428452,64807651,230849912,292660369,866481601,704748050,610516648,963571906,409118107,436519088,307666738,162185541,143803458,968478577,364961045,285360010,762341508,173959161,776180660,925960791,760471144,188305319,106220518,158073490,8052568,709723181,123405759,948735458,636983222,854687367,510562111,538814269,414958915,48898306,269916806,394871926,918296206,746108446,207766067,46037629,808011351,326768575,523137773,795905989,884745015,967443926,545128546,659377661,847847715,145768658,636515646,595576288,754220877,497654570,108693758,299182236,869951867,228676565,58341517,272340297,761345906,997000639,802727319,656474788,458532615,545225862,283173850,329995875,858695304,825116496,644299709,669789716,233178129,840781503,945209586,545504991,502199791,45016008,749005131,764095837,27632873,45665964,718398017,468124972,684288837,900021577,359470422,419416939,171326602,861418216,375677730,621883001,262719737,157347986,67178245,815024375,172429840,285793781,362974052,438117005,22212357,572653177,967248712,147908307,445549055,844168028,254597348,271427795,297837027,986929271,650283443,88525763,367196707,275625134,615992821,155987294,736585340,599913549,158876450,265292399,431080429,576549347,302314901,667827486,577810308,557609863,634775898,102950172,157529412,82350513,663785303,926405993,715980207,608486379,804281153,812899526,808953515,541454223,944901767,173946685,964128119,128251651,771891743,103349598,929116340,391595128,123467855,932412961,472118663,374620343,803980211,832139566,129978375,58928431,472816413,179173786,524289480,690639066,817904043,668425492,312554608,154643661,105488547,954540112,121198578,719164807,270543179,801536633,562485162,457848901,748718641,858362833,325517139,770736841,746297301,962103785,109456722,732742079,582168462,180105087,479599446,817610423,642520495,753479899,185096588,635851632,628099912,109535931,163224538,822175418,243854434,911385229,295892364,435724567,350875719,609803619,306963437,371131156,775279116,51047345,556926473,492819263,869732694,611745063,767043819,18008002,809021397,363564270,701526008,394888900,674912941,99082347,654404406,302293695,117303971,539257940,837661888,167515611,952596798,4726949,665609468,942567988,849170202,498547389,294681054,396326413,157610425,755008458,769504426,562819783,740179059,999614189,879970360,433907555,501438455,180140031,667066456,829240475,260524891,127427504,941461554,536026061,443904766,538479073,666486812,475530191,121557438,704601606,732073522,654669281,288956417,330644566,474059656,150424442,991489777,99067195,969677742,216408703,861086656,983884426,765232425,661454399,45738687,197306720,95219147,563413639,745846165,296017433,995229504,974721285,655279123,831166377,122630389,23862689,275618615,972434113,763310956,240682538,772799599,758801097,222021574,407681863,884533018,910516888,577385210,750668818,727679293,475333630,512201328,115920268,239911147,616812444,615258783,627020051,114438202,423704759,132011154,809102335,224815801,702924301,388083655,384614589,459165096,556985949,33186676,763547090,79671019,260292923,412612192,584323557,868511230,900469737,101206669,698182,84073256,42740659,666347544,46447535,831681149,726618108,314745817,719477877,397270790,428736937,67117327,83510285,280322395,406534330,196447137,341406877,562030709,216176609,178352284,770257391,623443757,71920424,264713456,258070076,532853252,888277299,602928571,20843140,800380386,346466520,596550492,196271279,150444599,41796604,183946594,518709995,22883926,155223889,241813164,243002819,83522330,738568816,647790387,509278109,603381367,245529214,199042426,496631411,283059021,801063708,228336763,230407617,747927936,205053664,158080535,564823040,626852621,885659740,62569955,462941690,657436187,550611588,713496897,738526838,768313305,355563849,825295711,802492346,9115188,837783963,429989052,46533714,253562704,394743407,520073564,425094703,214876776,952683513,69579893,192790661,903371835,738026727,527955868,768591691,807883173,201323750,265231924,792464830,244405545,302640073,618217965,638447033,501506793,637898053,88091439,321630223,942710133,432609571,735298062,659207339,654626584,177624084,325543472,278234501,466367576,75799753,297034885,431857994,736766097,554288165,521858670,674431015,712838839,374707766,219358707,11986940,171500681,995108745,822414126,773429240,497773393,84147836,447324625,284924770,831103735,732597762,111621629,366507019,936342167,769487633,953960023,539410864,343651321,504811381,506686321,861310460,149926844,71603692,618328555,658392303,475932476,764909567,872199272,239303720,781334644,577418605,897639606,407226315,840035970,672711556,950713304,436900477,556786759,196837513,872948988,59803133,841639444,431114540,992989742,959727001,341397019,35014256,189862862,688285397,410699984,704940549,267654352,646511603,451069993,674747968,829824144,924980138,162275226,465160124,440821433,995718536,466270267,346573936,213351896,45394219,672702134,774941341,239209769,816542893,624409808,379077507,54766283,718648465,271563485,942495363,422756581,674891862,131430566,686335829,861585124,840675147,187623889,19210619,147399850,321119117,764380491,316227281,816337498,483925410,238121689,608182597,710653447,405786948,677715899,624566258,489180345,420371679,928248362,538240900,832627053,406550952,369588245,421552209,231715977,417985114,642280997,152861969,228331153,486333700,644832380,911925317,192172391,257715573,40130253,978632246,302648868,318752677,427354734,227524387,400996629,209136343,628156092,918914263,660648922,932109625,53519583,654173554,18043981,245970262,237970440,644515824,430612770,740462903,916548648,118306884,722767066,874209210,815192967,594808673,585278365,301889328,423305202,355455280,741464976,312365309,625420614,115298834,375311380,11353707,888193791,629800548,481567219,56585226,71738890,438346429,817616413,159022094,934956539,88382740,39347644,273318544,291765747,739860057,163349093,171435821,737951652,150078562,306658624,160376218,269852974,419218806,264704829,114194426,758353687,849953864,598885119,947636117,403533674,783374118,683714946,585007186,408563833,906490526,8376026,506869195,65293920,555819622,979084732,230576283,365389481,131384076,384991092,390665995,463112533,492673027,357612604,691134538,670555840,493144843,884825675,924707067,458006803,338452922,909993547,618658246,665488722,105699532,548349881,941393657,71589208,960276828,476555255,350993514,841503748,743401356,375477892,84681157,887395809,379273654,809248820,706063598,837192550,153631633,517912889,542430989,583025804,143810531,457633291,3581787,923768846,150235648,434939988,220029873,359561578,778292666,606022945,692530373,973838531,672993728,126042063,980487480,808647755,500778296,101831810,525570260,32507394,769739568,318316064,722174817,563445207,541430241,332724893,293833531,223822548,700820742,253572953,990824318,197212244,238710718,829296155,435061298,241012344,283494858,393200783,727424758,784293541,932040533,180452645,764504111,614331934,298603090,591009348,883507512,70817116,936947718,198526116,224162926,998195810,905422583,422886544,356508717,355963742,869367023,68618222,204061624,748592410,733882522,660084619,366673520,656550586,706470965,643025550,142650333,12576481,684576220,136250632,707143038,164883272,273354336,131381561,697304278,531832881,295448499,411235062,844141255,300953157,46445567,240045663,75613778,767367403,722825918,559189043,953001367,593642807,696528916,646231494,526768055,966431342,262303835,816805593,475108509,346197914,689253420,314440147,643055796,466085886,810234264,672803296,369682546,641441365,143866550,606129599,236769208,828685380,705575005,650125214,830219673,464996130,656683754,335414200,824839929,274175823,713176165,465518910,247114819,310545498,139778618,816892879,646627080,216783310,902414271,231627423,577858603,345742194,193529718,645171014,711008781,957338718,477263674,855036816,427362654,102135141,591855671,596174330,147864665,351060641,776173194,992444768,798431337,758288670,261666483,244356137,404501728,834491516,23506291,684360658,837630562,441443690,341143075,836749623,888667663,452113252,258332446,771903125,310468677,983331778,894554119,310191120,946618993,753643463,215667460,895097596,680783357,976249362,15246951,288093374,174428455,976302872,107422351,870803524,812312671,906641270,57705315,141717031,576473152,538383620,572958511,365484014,117912138,753689351,449603495,557859899,203951575,481877963,319150131,812702618,462384889,207643231,488881548,374155372,26900221,715677483,616077486,440967988,971178841,405390564,407118661,907507302,685739049,973086988,997043602,560934022,218951837,556834710,853851371,364575359,138460401,734434914,430707546,273994626,940969257,972115720,233856139,552294681,332335765,130278679,968192507,178798291,376332030,602365125,396178784,830852142,186787727,656789390,229475722,786186005,677414215,562345892,826669736,117569830,548591874,535649643,984015017,45481029,94386222,486879078,210779996,852240475,793993520,762853049,385365869,141508567,468597789,299888379,801059049,786080134,22539507,623815979,13557238,521354466,448975218,780244409,835453480,429797889,395623396,309864734,174928347,467976300,98952647,141047598,360873278,895932233,188558410,490362391,362420920,903198286,901013727,946353339,979289894,464303838,493805103,192163457,172767270,480469456,611907307,925826300,529614434,319250068,854237287,942347209,873400683,849844242,637380621,856167559,189536568,174688525,673701983,780055459,240630908,843249962,564841076,289521881,648245646,593959022,507480664,617394127,671088836,39191134,185433158,936925678,40187333,920205108,184928862,846550949,366127134,872122780,38405883,682195498,827204357,196634053,747947915,278339454,712284377,851967253,568648204,722689076,924352658,114120129,310227680,20796396,906844875,890615455,527618896,391813599,686880729,549046925,315543751,943489336,283966931,34993256,75316064,732108379,980865138,908975350,485659090,940552397,65063266,586994756,96749937,975516375,145071190,556334766,861246458,358218093,93264470,746924856,695751441,278030651,596727224,359441731,745560826,409381298,341928687,323345408,204474735,489393204,903337323,604686591,84131998,362938452,242878507,464563065,166823975,80935363,975228836,470523799,55948931,843196465,140505744,730743423,750646179,141489033,792396505,244237477,655608480,29401397,961576526,564156934,893896635,462596010,231185088,927855569,199848020,35693066,564046200,431618335,893721639,963308916,582524621,409050337,667242993,811159579,135931905,74478773,358948713,83946566,784902732,332461689,417167919,619159066,463300017,572351331,15152340,563684828,799133024,761823752,173517550,435079814,328333350,638387061,567591431,359528510,355675005,291534398,504778475,395375645,77155803,102791818,263731169,728145665,546224640,888610304,65837270,87272581,621266785,856761351,995611837,513645429,279508672,673090698,821006770,806440361,828616851,85188487,649462828,227530305,879122638,654954169,867291523,821727311,911940791,928698795,51830219,555414922,135900956,26105309,573646098,661296984,379988066,974891369,89349025,828661166,996507881,789287440,663652058,923021953,561089600,846300332,785635181,771679977,667092362,947126646,504216495,493152151,19247797,45389104,297037580,851683371,693420420,304157142,797131515,896867312,889496361,754637209,639922946,906792492,252200395,126897045,223943979,2610040,944252337,545631121,945818699,406674045,54796773,49687532,607620789,288535380,628073133,611278141,82482275,164770570,753114137,155325598,965082601,440922988,971340286,319248503,83260930,806098744,358167911,141257437,298494797,130548893,524452262,274410693,639410984,419928437,685329929,981579021,263414257,774154060,299877702,430000722,922763804,26801544,78737503,903171927,405550771,964906659,890611152,743522349,48068300,207158605,389258084,589903320,667186002,336391703,799181095,39824017,720704549,640244215,623141026,193766589,714094660,975841587,603548938,923726915,975682216,914467286,988372054,988194259,288144066,981959813,112288934,119616205,632407339,843236146,69751298,565283052,298226409,416685230,572051541,276118156,442910400,706891960,982137338,567806087,630050807,267571273,852244690,84065578,183227287,303823300,87921919,455872111,77732024,921695414,768698628,155929593,125408444,218336621,949489185,856263120,851197086,924597569,478079237,855565890,551474719,714661486,326390702,514026590,872006010,159493246,256560476,434256512,548489092,431758328,629117267,510552118,364288553,375406317,343564970,805367881,263542924,405969462,836096661,351564766,946391188,370951626,839879981,568182204,92410490,450454629,88498082,239950234,444114416,478443556,110710340,88026208,823257098,456200510,342397834,74650012,419645270,500578565,283003665,15457936,27930901,299127279,552743783,890671352,933158471,775410047,971304383,508807878,843951284,515207415,190934297,908876538,151065287,369597621,345764154,263332712,850863067,672037044,298897849,727758688,746453775,675012241,798578017,153283310,841303064,497049878,276201347,900346646,778239443,58243146,691233171,416768159,737261214,36872389,825851976,368397385,695171571,258691045,142498153,140132035,846551674,894603954,469751477,778131589,301281546,17204757,715798982,616913077,184638437,999827530,310436961,437398352,593395757}, inv[5010] = {0, };
int C[5010][5010];

void init(void)
{
    C[0][0] = 1;
}

void get_C(ll X, ll Y)
{
	if(C[X][Y] || X < 0 || Y < 0 || X < Y)
		return;
	
	get_C(X - 1, Y - 1);
	get_C(X - 1, Y);
	
	C[X][Y] = (C[X - 1][Y - 1] + C[X - 1][Y]);
	
	if(C[X][Y] > ss)
		C[X][Y] -= ss;
}
 
int main(void)
{
	fastio
	
	cin >> n >> m;
	
	init();
	
	int siz = (n << 1);
	
	ans = fac[siz];
	
	for(int i = siz ; i >= 1 ; --i)
	{
		ll gap = i % m;
		
		if(gap == 0)
			gap = m;
		
		++cou[gap];
	}
	
	for(int i = m ; i >= 0 ; --i)
		dp[i] = 1;
	
	for(int i = 1 ; i <= n ; ++i)
	{
		for(int j = 1 ; j <= m ; ++j)
		{
			ll X = cou[j];
			
			for(int k = 1 ; (k << 1) <= X && k <= i ; ++k)
            {
            	int num = i * (m + 1) + j;
            	get_C(X, k << 1);
            	get_C(i, k);
				dp[num] = (dp[i * (m + 1) + j] + (ll)dp[(i - k) * (m + 1) + j - 1] * C[X][k << 1] % ss * fac[k << 1] % ss * C[i][k]% ss);
              	while(abs(dp[num]) > ss)
                {
                    if(dp[num] < 0)
                        dp[num] += ss;
                    else
                        dp[num] -= ss;
                }
            }
		}
		
		for(int j = 1 ; j <= m ; ++j)
        {
        	int num = i * (m + 1) + j;
			dp[num] = (dp[num] + dp[num - 1]);
          
          	while(abs(dp[num]) > ss)
			{
				if(dp[num] < 0)
					dp[num] += ss;
				else
					dp[num] -= ss;
			}
        }
	}
	
	for(int i = n ; i >= 1 ; --i)
	{
		get_C(n, i);
		int num = i * (m + 1) + m;
		int gap = (ll)dp[num] * C[n][i] % ss * fac[(n - i) << 1] % ss;
		
		if(i & 1)
			ans = (ans - gap);
		else
			ans = (ans + gap);
      
      	while(abs(ans) > ss)
        {
          if(ans < 0)
            ans += ss;
          else
            ans -= ss;
        }
	}
	
	ans = (ans + ss) % ss;
	
	cout << ans;
	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2648 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2648 KB Output is correct
20 Correct 2 ms 3164 KB Output is correct
21 Correct 1 ms 3164 KB Output is correct
22 Correct 3 ms 3672 KB Output is correct
23 Correct 2 ms 3420 KB Output is correct
24 Correct 3 ms 3676 KB Output is correct
25 Correct 3 ms 3676 KB Output is correct
26 Correct 3 ms 3676 KB Output is correct
27 Correct 3 ms 3676 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2648 KB Output is correct
20 Correct 2 ms 3164 KB Output is correct
21 Correct 1 ms 3164 KB Output is correct
22 Correct 3 ms 3672 KB Output is correct
23 Correct 2 ms 3420 KB Output is correct
24 Correct 3 ms 3676 KB Output is correct
25 Correct 3 ms 3676 KB Output is correct
26 Correct 3 ms 3676 KB Output is correct
27 Correct 3 ms 3676 KB Output is correct
28 Correct 12 ms 5724 KB Output is correct
29 Correct 11 ms 6492 KB Output is correct
30 Correct 11 ms 6876 KB Output is correct
31 Correct 12 ms 5720 KB Output is correct
32 Correct 14 ms 6748 KB Output is correct
33 Correct 13 ms 7772 KB Output is correct
34 Correct 22 ms 10324 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2648 KB Output is correct
20 Correct 2 ms 3164 KB Output is correct
21 Correct 1 ms 3164 KB Output is correct
22 Correct 3 ms 3672 KB Output is correct
23 Correct 2 ms 3420 KB Output is correct
24 Correct 3 ms 3676 KB Output is correct
25 Correct 3 ms 3676 KB Output is correct
26 Correct 3 ms 3676 KB Output is correct
27 Correct 3 ms 3676 KB Output is correct
28 Correct 12 ms 5724 KB Output is correct
29 Correct 11 ms 6492 KB Output is correct
30 Correct 11 ms 6876 KB Output is correct
31 Correct 12 ms 5720 KB Output is correct
32 Correct 14 ms 6748 KB Output is correct
33 Correct 13 ms 7772 KB Output is correct
34 Correct 22 ms 10324 KB Output is correct
35 Correct 75 ms 14296 KB Output is correct
36 Correct 77 ms 27220 KB Output is correct
37 Correct 70 ms 13852 KB Output is correct
38 Correct 70 ms 19284 KB Output is correct
39 Correct 64 ms 22612 KB Output is correct
40 Correct 102 ms 33616 KB Output is correct