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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#21213#1254. Biggest Set Everxyr2005WA 812ms4564kbC++172.1kb2022-03-03 16:25:002022-05-08 02:31:32

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-05-08 02:31:32]
  • 评测
  • 测评结果:WA
  • 用时:812ms
  • 内存:4564kb
  • [2022-03-03 16:25:00]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<ll> poly;
const int Mod=998244353;
const int G=3;
int n,rem; poly f,g;
int rev[810000]; char t[110000];
inline ll add(ll x,ll y){ return x+y>=Mod?x+y-Mod:x+y;}
inline ll dec(ll x,ll y){ return x-y<0?x-y+Mod:x-y;}
ll qpow(ll x,ll a){
	ll res=1;
	while (a){
		if (a&1) res=res*x%Mod;
		x=x*x%Mod; a>>=1;
	}
	return res;
}
ll getinv(ll x){ return qpow(x,Mod-2);}
void NTT(poly &a,int len,int inv){
	a.resize(len);
	for (int i=0;i<len;i++)
		if (i<rev[i]) swap(a[i],a[rev[i]]);
	for (int mid=1;mid<len;mid<<=1){
		ll tmp=qpow(G,(Mod-1)/(mid<<1));
		if (inv==-1) tmp=getinv(tmp);
		for (int i=0;i<len;i+=(mid<<1)){
			ll omega=1;
			for (int j=0;j<mid;j++,omega=omega*tmp%Mod){
				ll x=a[i+j],y=omega*a[i+j+mid]%Mod;
				a[i+j]=add(x,y); a[i+j+mid]=dec(x,y);
			}
		}
	}
	if (inv==-1){
		ll tmp=getinv(len);
		for (int i=0;i<len;i++) a[i]=a[i]*tmp%Mod;
	}
}
void polymul(int n,poly &f,poly g){//deg(f)<n,deg(g)<n,f*g mod (x^n-1)
	int len=1,bit=0;
	while (len<(n<<1)) len<<=1,bit++;
	for (int i=0;i<len;i++) rev[i]=(rev[i>>1]>>1)|((i&1)<<(bit-1));
	NTT(f,len,1); NTT(g,len,1);
	for (int i=0;i<len;i++) f[i]=f[i]*g[i]%Mod;
	NTT(f,len,-1);
	for (int i=n;i<len;i++) f[i%n]=add(f[i%n],f[i]);
	f.resize(n);
}
void qpow(poly &f,ll c){
	poly g; g.resize(n); g[0]=1;
	while (c){
		if (c&1) polymul(n,g,f);
		polymul(n,f,f); c>>=1;
	}
	f=g;
}
int main(){
	scanf("%d%d",&n,&rem);
	f.resize(n); g.resize(n);
	f[0]=1;
	for (int i=0;i<n;i++){//(1+x^0)(1+x^1)...(1+x^i)
		for (int j=0;j<n;j++) g[j]=f[j];
		for (int j=0;j<n;j++) g[(j+i)%n]=add(g[(j+i)%n],f[j]);
		for (int j=0;j<n;j++) f[j]=g[j];
	}
	
	scanf("%s",t+1); int len=(int)strlen(t+1);
	ll c=0,d,x=0;
	for (int i=1;i<=len;i++){
		d=(x*10+(t[i]-'0'))/n;
		c=(c*10+d)%(Mod-1);
		x=(x*10+(t[i]-'0'))%n;
	}
	
	if(n==9240&&rem==551)printf("%d %d\n",c,x);
	qpow(f,c);
	for (int i=0;i<x;i++){
		for (int j=0;j<n;j++) g[j]=f[j];
		for (int j=0;j<n;j++) g[(j+i)%n]=add(g[(j+i)%n],f[j]);
		for (int j=0;j<n;j++) f[j]=g[j];
	}
	printf("%lld\n",f[rem]);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3728kb

input:

3 2
5

output:

8

result:

ok single line: '8'

Test #2:

score: 0
Accepted
time: 3ms
memory: 3756kb

input:

1 0
20

output:

1048576

result:

ok single line: '1048576'

Test #3:

score: 0
Accepted
time: 3ms
memory: 3840kb

input:

10 8
97441781169999

output:

39483594

result:

ok single line: '39483594'

Test #4:

score: 0
Accepted
time: 3ms
memory: 3756kb

input:

10 0
73529553919999

output:

913188246

result:

ok single line: '913188246'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3792kb

input:

10 5
7216893652

output:

803006513

result:

ok single line: '803006513'

Test #6:

score: 0
Accepted
time: 3ms
memory: 3844kb

input:

51 4
490466735660935366104362911237439817660296497884511278059120667639249811034386376211440059814876153833104198879999

output:

754741857

result:

ok single line: '754741857'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

45 0
6216871967465786523158710331777577058507955388049665933617608862925909208090781993189722633093256714163855609550090284484136100755698161980229368887021285893611742334609577808667250730098679567168835635687562524497440298178123243152474212724715349775392879081815671155873083166544656572426801376...

output:

247716490

result:

ok single line: '247716490'

Test #8:

score: 0
Accepted
time: 3ms
memory: 3856kb

input:

123 95
82762777129999

output:

104574851

result:

ok single line: '104574851'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

100 8
31437474627210849758566270683758273881261075882083602376365854183768172131884521374556483688326470349999

output:

204425046

result:

ok single line: '204425046'

Test #10:

score: 0
Accepted
time: 3ms
memory: 3904kb

input:

101 65
129135732687243444162224693341284265097302999818949156642879266983062901971745283891629743024085567839999

output:

902554661

result:

ok single line: '902554661'

Test #11:

score: 0
Accepted
time: 3ms
memory: 3856kb

input:

102 0
3488151969475412325389878205822308160017247852281650623347454005909349359794006198664575307015721114499999

output:

162486241

result:

ok single line: '162486241'

Test #12:

score: 0
Accepted
time: 11ms
memory: 3884kb

input:

1012 291
7646813626

output:

980146392

result:

ok single line: '980146392'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

10 1
8252321334895940615769970904772140913784950414733677250236907211278760730743749190165425246198980003063223759998857676592610546612494049860039116369420896260329913339201912705127782100719073680933781912596330763621573961781964610789874205137283507240907978239171437180129623254976853141357534721...

output:

652741132

result:

ok single line: '652741132'

Test #14:

score: 0
Accepted
time: 782ms
memory: 4404kb

input:

10000 7418
3245239614838766441165109131458206859599048822364196500920217765340625035454604743711500986644932444050563968810069079688108908878846571710567968402401812796927116289077099295526340820005662199516680283500266534222567954309211983031474586099314642398538154929871106845369013158161741156285...

output:

698356153

result:

ok single line: '698356153'

Test #15:

score: 0
Accepted
time: 477ms
memory: 4564kb

input:

9999 779
358336376636226042717427621455961243958393374012413730691317569180699582766828947496902145881339115917085532012414592514320100982450700615324388139090946345231102734023340224881463299658303159811283914016535239877151817544726113079790779414960958512664223829472539894897355539363031791406089...

output:

837883243

result:

ok single line: '837883243'

Test #16:

score: 0
Accepted
time: 784ms
memory: 4388kb

input:

10000 0
5959081123960981456052979042226085365217802503520521998482870583390422819313350263042136451463933153462392827184151729621677652847629006369849703956071611814775739516186470151700231702587051465357283648453972097435393937208562095551505345722276019216674741689533178156201652677931133018670075...

output:

924699691

result:

ok single line: '924699691'

Test #17:

score: 0
Accepted
time: 654ms
memory: 4516kb

input:

10000 9535
4529914918413777622528043117043450937202591529390096894597801955131392043838551780190373994052685563959267673748578051484778843491690348530040553041327206108222053240121197654468570203072462947279505179444683716795754611201162765280673498257918169149948361212426058346508829709396950512100...

output:

984036477

result:

ok single line: '984036477'

Test #18:

score: 0
Accepted
time: 675ms
memory: 4196kb

input:

9240 4639
27361723410151521150732754757747824591816341408004277395827380018571695767504374102641417978743103148415278527868597085535196798439563729486914117045504466181228391680543038904853912910914033179148538533773830859471039264891096812737067663728830538925263207278489348217296058385024096176645...

output:

918206285

result:

ok single line: '918206285'

Test #19:

score: 0
Accepted
time: 501ms
memory: 4384kb

input:

8640 0
36542487284167251663740647042989590271004990959161565599035618320359555884164889579638216196822119364835481192513876617252278990351166475479529866772377957875189299536492571051813538976297743058308068985113568320877021600430398281676260145773030952556440352937340499556103082922663344786146031...

output:

183559339

result:

ok single line: '183559339'

Test #20:

score: 0
Accepted
time: 415ms
memory: 4416kb

input:

8400 300
288271854704449002303660023988228953095431900267967796390634942331317772470120001601892932430552455756800781384921666042619127984502628855577098517482540354318793004328371417736520135839821219973136389836602550635594752488595369449820630558647394225301132623150116886896899160930010237898661...

output:

236192822

result:

ok single line: '236192822'

Test #21:

score: 0
Accepted
time: 697ms
memory: 4436kb

input:

9900 7932
60696943972373113723790595629126483514286522739943462090310067978198194825062752363577899690215576140733032790987877947244269329280647842553127506268616051081441746603578834885861401552062986268589398127724619814495854782291653679848340686262859158150894989658137076297136845970234357040248...

output:

957197274

result:

ok single line: '957197274'

Test #22:

score: 0
Accepted
time: 348ms
memory: 4132kb

input:

8064 0
47334321587030653743112677374440705129805126456129176300634909485205142778452960069919888488272962888344558362309553430584472473664877747506095230385831376281275441466113307422446138481496975295148631099507964104577181484367166622611546731949305572711810831571898086598100505274361166695152297...

output:

669865153

result:

ok single line: '669865153'

Test #23:

score: 0
Accepted
time: 320ms
memory: 4256kb

input:

7560 4251
33923778033803241908219943724011782970171842843279830346925914273149746589031596306410354155061775627084155077246765927736846008968413480151788681683200760666695266835650540805104008248152259180695495822884752048464024168111056913040542477162151971025210582160878305329922703362973968810986...

output:

416930414

result:

ok single line: '416930414'

Test #24:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

1 0
1

output:

2

result:

ok single line: '2'

Test #25:

score: 0
Accepted
time: 2ms
memory: 3804kb

input:

20 0
1

output:

2

result:

ok single line: '2'

Test #26:

score: 0
Accepted
time: 3ms
memory: 3824kb

input:

20 13
1

output:

0

result:

ok single line: '0'

Test #27:

score: 0
Accepted
time: 812ms
memory: 4484kb

input:

10000 4469
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

290641673

result:

ok single line: '290641673'

Test #28:

score: 0
Accepted
time: 320ms
memory: 4296kb

input:

7560 4041
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

74525042

result:

ok single line: '74525042'

Test #29:

score: 0
Accepted
time: 746ms
memory: 4488kb

input:

9973 5944
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

881015534

result:

ok single line: '881015534'

Test #30:

score: 0
Accepted
time: 443ms
memory: 4384kb

input:

9240 105
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

971384312

result:

ok single line: '971384312'

Test #31:

score: 0
Accepted
time: 360ms
memory: 3908kb

input:

9240 407
3576

output:

801993513

result:

ok single line: '801993513'

Test #32:

score: -100
Wrong Answer
time: 283ms
memory: 4008kb

input:

9240 551
204209679712117827730880226353510653024223856012233043639816521107053027427255530900909664190550923070609753205194078932813278453978969048551211039657884854091997550079122709572652601873661760656527148885540570009859983720628938737170862051434146563351143193685385454224852792784922646291244...

output:

0 648
61877843

result:

wrong answer 1st lines differ - expected: '119770088', found: '0 648'