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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#69648#1254. Biggest Set EvereyiigjknAC ✓191ms3980kbC++142.2kb2022-12-29 13:24:032022-12-29 13:24:05

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.
  • [2022-12-29 13:24:05]
  • 评测
  • 测评结果:AC
  • 用时:191ms
  • 内存:3980kb
  • [2022-12-29 13:24:03]
  • 提交

answer

# include <bits/stdc++.h>
using namespace std;
using ll=long long;
using Poly=vector<int>;
constexpr int mod=998244353;
int maxn=0,d[10010],phi[10010],F[10010],G[10010],H[10010];
char str[100010];
inline int add(int x,int y){return (x+=y)<mod?x:x-mod;}
inline void upd(int &x,const int &y){if((x+=y)>=mod) x-=mod;}
inline void upd(int &x,const ll &y){x=(x+y)%mod;}
int power(int a,int b)
{
	int ans=1;
	for(;b;b>>=1,a=(ll)a*a%mod)
		if(b&1) ans=(ll)ans*a%mod;
	return ans;
}
void init(int n)
{
	for(int i=1;i*i<=n;i++)
		if(n%i==0)
		{
			d[++maxn]=i;
			if(i*i<n) d[++maxn]=n/i;
		}
	sort(d+1,d+maxn+1);
	vector<int> P;
	for(int i=2;i*i<=n;i++)
		if(n%i==0)
		{
			P.push_back(i);
			while(n%i==0) n/=i;
		}
	if(n>1) P.push_back(n);
	for(int i=1;i<=maxn;i++)
	{
		phi[i]=d[i];
		for(int j:P)
			if(d[i]%j==0)
				phi[i]=phi[i]/j*(j-1);
	}
}
void NTT(int *a,bool flag)
{
	static int b[10010];
	for(int i=maxn;i;i--)
	{
		ll s=0;
		for(int j=1;j<=maxn;j++)
			if(d[i]*d[j]%d[maxn]==0)
				s+=(ll)a[j]*phi[maxn-j+1];
		s=s%mod*d[maxn-i+1];
		for(int j=i+1;j<=maxn;j++)
			if(d[j]%d[i]==0)
				s+=(ll)(mod-b[j])*phi[maxn-j+1];
		b[i]=s%mod*power(phi[maxn-i+1],mod-2)%mod;
	}
	memcpy(a+1,b+1,sizeof(int)*maxn);
	if(flag) return;
	int invn=power(d[maxn],mod-2);
	for(int i=1;i<=maxn;i++) a[i]=(ll)a[i]*invn%mod;
}
int main()
{
	int n,t,r=0,m=0,ans=0;
	bool is0=1;
	scanf("%d%d%s",&n,&t,str);
	for(int i=0;str[i];i++)
	{
		r=r*10+str[i]-'0';
		m=(10ll*m+r/n)%(mod-1);
		is0&=(r<n);r%=n;
	}
	m+=mod-1;
	F[0]=G[0]=1;
	for(int i=0;i<n;i++)
	{
		static int tmp[10010];
		memcpy(tmp,F,sizeof(int)*n);
		for(int j=0;j<n;j++) upd(F[i+j<n?i+j:i+j-n],tmp[j]);
	}
	for(int i=0;i<r;i++)
	{
		static int tmp[10010];
		memcpy(tmp,G,sizeof(int)*n);
		for(int j=0;j<n;j++) upd(G[i+j<n?i+j:i+j-n],tmp[j]);
	}
	if(is0) return cout<<G[t]<<endl,0;
	init(n);
	for(int i=1;i<maxn;i++) H[i]=F[d[i]];
	H[maxn]=F[0];
	NTT(H,1);
	for(int i=1;i<=maxn;i++) H[i]=power(H[i],m);
	NTT(H,0);
	for(int i=0;i<n;i++) F[i]=H[lower_bound(d+1,d+maxn+1,__gcd(n,i))-d];
	for(int i=0;i<=t;i++) upd(ans,(ll)F[i]*G[t-i]);
	for(int i=t+1;i<n;i++) upd(ans,(ll)F[i]*G[t-i+n]);
	cout<<ans<<endl;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3524kb

input:

3 2
5

output:

8

result:

ok single line: '8'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3488kb

input:

1 0
20

output:

1048576

result:

ok single line: '1048576'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3412kb

input:

10 8
97441781169999

output:

39483594

result:

ok single line: '39483594'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

10 0
73529553919999

output:

913188246

result:

ok single line: '913188246'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3496kb

input:

10 5
7216893652

output:

803006513

result:

ok single line: '803006513'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

51 4
490466735660935366104362911237439817660296497884511278059120667639249811034386376211440059814876153833104198879999

output:

754741857

result:

ok single line: '754741857'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3544kb

input:

45 0
6216871967465786523158710331777577058507955388049665933617608862925909208090781993189722633093256714163855609550090284484136100755698161980229368887021285893611742334609577808667250730098679567168835635687562524497440298178123243152474212724715349775392879081815671155873083166544656572426801376...

output:

247716490

result:

ok single line: '247716490'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3752kb

input:

123 95
82762777129999

output:

104574851

result:

ok single line: '104574851'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

100 8
31437474627210849758566270683758273881261075882083602376365854183768172131884521374556483688326470349999

output:

204425046

result:

ok single line: '204425046'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3488kb

input:

101 65
129135732687243444162224693341284265097302999818949156642879266983062901971745283891629743024085567839999

output:

902554661

result:

ok single line: '902554661'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3540kb

input:

102 0
3488151969475412325389878205822308160017247852281650623347454005909349359794006198664575307015721114499999

output:

162486241

result:

ok single line: '162486241'

Test #12:

score: 0
Accepted
time: 4ms
memory: 3552kb

input:

1012 291
7646813626

output:

980146392

result:

ok single line: '980146392'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3488kb

input:

10 1
8252321334895940615769970904772140913784950414733677250236907211278760730743749190165425246198980003063223759998857676592610546612494049860039116369420896260329913339201912705127782100719073680933781912596330763621573961781964610789874205137283507240907978239171437180129623254976853141357534721...

output:

652741132

result:

ok single line: '652741132'

Test #14:

score: 0
Accepted
time: 186ms
memory: 3728kb

input:

10000 7418
3245239614838766441165109131458206859599048822364196500920217765340625035454604743711500986644932444050563968810069079688108908878846571710567968402401812796927116289077099295526340820005662199516680283500266534222567954309211983031474586099314642398538154929871106845369013158161741156285...

output:

698356153

result:

ok single line: '698356153'

Test #15:

score: 0
Accepted
time: 92ms
memory: 3968kb

input:

9999 779
358336376636226042717427621455961243958393374012413730691317569180699582766828947496902145881339115917085532012414592514320100982450700615324388139090946345231102734023340224881463299658303159811283914016535239877151817544726113079790779414960958512664223829472539894897355539363031791406089...

output:

837883243

result:

ok single line: '837883243'

Test #16:

score: 0
Accepted
time: 191ms
memory: 3752kb

input:

10000 0
5959081123960981456052979042226085365217802503520521998482870583390422819313350263042136451463933153462392827184151729621677652847629006369849703956071611814775739516186470151700231702587051465357283648453972097435393937208562095551505345722276019216674741689533178156201652677931133018670075...

output:

924699691

result:

ok single line: '924699691'

Test #17:

score: 0
Accepted
time: 165ms
memory: 3724kb

input:

10000 9535
4529914918413777622528043117043450937202591529390096894597801955131392043838551780190373994052685563959267673748578051484778843491690348530040553041327206108222053240121197654468570203072462947279505179444683716795754611201162765280673498257918169149948361212426058346508829709396950512100...

output:

984036477

result:

ok single line: '984036477'

Test #18:

score: 0
Accepted
time: 159ms
memory: 3652kb

input:

9240 4639
27361723410151521150732754757747824591816341408004277395827380018571695767504374102641417978743103148415278527868597085535196798439563729486914117045504466181228391680543038904853912910914033179148538533773830859471039264891096812737067663728830538925263207278489348217296058385024096176645...

output:

918206285

result:

ok single line: '918206285'

Test #19:

score: 0
Accepted
time: 110ms
memory: 3744kb

input:

8640 0
36542487284167251663740647042989590271004990959161565599035618320359555884164889579638216196822119364835481192513876617252278990351166475479529866772377957875189299536492571051813538976297743058308068985113568320877021600430398281676260145773030952556440352937340499556103082922663344786146031...

output:

183559339

result:

ok single line: '183559339'

Test #20:

score: 0
Accepted
time: 82ms
memory: 3672kb

input:

8400 300
288271854704449002303660023988228953095431900267967796390634942331317772470120001601892932430552455756800781384921666042619127984502628855577098517482540354318793004328371417736520135839821219973136389836602550635594752488595369449820630558647394225301132623150116886896899160930010237898661...

output:

236192822

result:

ok single line: '236192822'

Test #21:

score: 0
Accepted
time: 167ms
memory: 3980kb

input:

9900 7932
60696943972373113723790595629126483514286522739943462090310067978198194825062752363577899690215576140733032790987877947244269329280647842553127506268616051081441746603578834885861401552062986268589398127724619814495854782291653679848340686262859158150894989658137076297136845970234357040248...

output:

957197274

result:

ok single line: '957197274'

Test #22:

score: 0
Accepted
time: 81ms
memory: 3968kb

input:

8064 0
47334321587030653743112677374440705129805126456129176300634909485205142778452960069919888488272962888344558362309553430584472473664877747506095230385831376281275441466113307422446138481496975295148631099507964104577181484367166622611546731949305572711810831571898086598100505274361166695152297...

output:

669865153

result:

ok single line: '669865153'

Test #23:

score: 0
Accepted
time: 79ms
memory: 3752kb

input:

7560 4251
33923778033803241908219943724011782970171842843279830346925914273149746589031596306410354155061775627084155077246765927736846008968413480151788681683200760666695266835650540805104008248152259180695495822884752048464024168111056913040542477162151971025210582160878305329922703362973968810986...

output:

416930414

result:

ok single line: '416930414'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

1 0
1

output:

2

result:

ok single line: '2'

Test #25:

score: 0
Accepted
time: 2ms
memory: 3724kb

input:

20 0
1

output:

2

result:

ok single line: '2'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3568kb

input:

20 13
1

output:

0

result:

ok single line: '0'

Test #27:

score: 0
Accepted
time: 189ms
memory: 3720kb

input:

10000 4469
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

290641673

result:

ok single line: '290641673'

Test #28:

score: 0
Accepted
time: 76ms
memory: 3732kb

input:

7560 4041
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

74525042

result:

ok single line: '74525042'

Test #29:

score: 0
Accepted
time: 176ms
memory: 3804kb

input:

9973 5944
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

881015534

result:

ok single line: '881015534'

Test #30:

score: 0
Accepted
time: 94ms
memory: 3752kb

input:

9240 105
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

971384312

result:

ok single line: '971384312'

Test #31:

score: 0
Accepted
time: 111ms
memory: 3672kb

input:

9240 407
3576

output:

801993513

result:

ok single line: '801993513'

Test #32:

score: 0
Accepted
time: 90ms
memory: 3752kb

input:

9240 551
204209679712117827730880226353510653024223856012233043639816521107053027427255530900909664190550923070609753205194078932813278453978969048551211039657884854091997550079122709572652601873661760656527148885540570009859983720628938737170862051434146563351143193685385454224852792784922646291244...

output:

119770088

result:

ok single line: '119770088'

Test #33:

score: 0
Accepted
time: 98ms
memory: 3772kb

input:

9192 1641
28752004253121823698377995642551444541478381100254351866855183106035619529957426500407613584351534638072131717174182778385021012676126168908318080221306891576946788376768991282644482141901027923976862288282903183550700780004336592004853856682722677717408026522325784466832796601495789309612...

output:

634482984

result:

ok single line: '634482984'

Test #34:

score: 0
Accepted
time: 103ms
memory: 3644kb

input:

9108 417
2572

output:

585665409

result:

ok single line: '585665409'