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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#24277#1816. Multiple ParenthesesWu_RenAC ✓52ms38960kbC++17811b2022-03-29 10:33:342022-04-30 05:23:04

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.
  • [2022-04-30 05:23:04]
  • 评测
  • 测评结果:AC
  • 用时:52ms
  • 内存:38960kb
  • [2022-03-29 10:33:34]
  • 提交

answer

#include <bits/stdc++.h>
const int mod=998244353;
using namespace std;
int n,m,k,fac[3000010],ifac[3000010],inv[3000010];
void init(int N){
	fac[0]=fac[1]=ifac[0]=ifac[1]=inv[1]=1;
	for(int i=2;i<=N;i++){
		fac[i]=1ll*i*fac[i-1]%mod;
		ifac[i]=1ll*(inv[i]=mod-1ll*(mod/i)*inv[mod%i]%mod)*ifac[i-1]%mod;
	}
}
void qmo(int &x){
	x+=(x>>31)&mod;
}
int C(int n,int m){
	if(m<0||n<m) return 0;
	return 1ll*fac[n]*ifac[n-m]%mod*ifac[m]%mod;
}
int f(int i,int j){
	if(j==0) return 1;
	return C(i-1+2*j,j)-C(i-1+2*j,j-1);
}
int main(){
	scanf("%d%d%d",&n,&m,&k),init(n+2*m);
	int res=0,mul=f(1,k);qmo(mul);
	for(int i=0,nw=1;i*k<=m&&i<=n;i++){
		int w=(1ll*f(n-i,m-i*k)+mod)*C(n,i)%mod*nw%mod;
		if(i&1) qmo(res-=w);
		else qmo(res+=w-mod);
		nw=1ll*nw*mul%mod;
	}
	printf("%d\n",res);
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 4ms
memory: 7864kb

input:

2 2 1

output:

4

result:

ok answer is '4'

Test #2:

score: 0
Accepted
time: 1ms
memory: 7948kb

input:

1 1 1

output:

0

result:

ok answer is '0'

Test #3:

score: 0
Accepted
time: 2ms
memory: 7888kb

input:

24 120 30

output:

379268651

result:

ok answer is '379268651'

Test #4:

score: 0
Accepted
time: 4ms
memory: 7896kb

input:

1451 1598 1130

output:

884873572

result:

ok answer is '884873572'

Test #5:

score: 0
Accepted
time: 4ms
memory: 7876kb

input:

1324 1742 1033

output:

856733047

result:

ok answer is '856733047'

Test #6:

score: 0
Accepted
time: 1ms
memory: 7756kb

input:

1378 1614 1335

output:

869903701

result:

ok answer is '869903701'

Test #7:

score: 0
Accepted
time: 2ms
memory: 7904kb

input:

1071 1907 1281

output:

327700529

result:

ok answer is '327700529'

Test #8:

score: 0
Accepted
time: 1ms
memory: 7892kb

input:

1204 1337 1277

output:

475981175

result:

ok answer is '475981175'

Test #9:

score: 0
Accepted
time: 4ms
memory: 7856kb

input:

146 246 100

output:

404402509

result:

ok answer is '404402509'

Test #10:

score: 0
Accepted
time: 4ms
memory: 7860kb

input:

226 183 144

output:

351921989

result:

ok answer is '351921989'

Test #11:

score: 0
Accepted
time: 4ms
memory: 7884kb

input:

234 287 158

output:

658959115

result:

ok answer is '658959115'

Test #12:

score: 0
Accepted
time: 2ms
memory: 7880kb

input:

242 156 122

output:

325586111

result:

ok answer is '325586111'

Test #13:

score: 0
Accepted
time: 4ms
memory: 7908kb

input:

168 271 135

output:

181613866

result:

ok answer is '181613866'

Test #14:

score: 0
Accepted
time: 4ms
memory: 7948kb

input:

22 25 1

output:

684860973

result:

ok answer is '684860973'

Test #15:

score: 0
Accepted
time: 4ms
memory: 7784kb

input:

45 22 15

output:

217501624

result:

ok answer is '217501624'

Test #16:

score: 0
Accepted
time: 1ms
memory: 7884kb

input:

47 29 16

output:

690840771

result:

ok answer is '690840771'

Test #17:

score: 0
Accepted
time: 4ms
memory: 7916kb

input:

2 25 25

output:

660660974

result:

ok answer is '660660974'

Test #18:

score: 0
Accepted
time: 1ms
memory: 7860kb

input:

32 34 11

output:

133387056

result:

ok answer is '133387056'

Test #19:

score: 0
Accepted
time: 3ms
memory: 12100kb

input:

88196 118335 104471

output:

7192211

result:

ok answer is '7192211'

Test #20:

score: 0
Accepted
time: 2ms
memory: 12836kb

input:

142215 57117 51272

output:

627598793

result:

ok answer is '627598793'

Test #21:

score: 0
Accepted
time: 3ms
memory: 10812kb

input:

102255 60360 51525

output:

447649003

result:

ok answer is '447649003'

Test #22:

score: 0
Accepted
time: 2ms
memory: 13004kb

input:

132449 83413 54230

output:

215816803

result:

ok answer is '215816803'

Test #23:

score: 0
Accepted
time: 1ms
memory: 12212kb

input:

68499 95762 77190

output:

393029560

result:

ok answer is '393029560'

Test #24:

score: 0
Accepted
time: 51ms
memory: 33376kb

input:

751951 751951 1

output:

804170883

result:

ok answer is '804170883'

Test #25:

score: 0
Accepted
time: 10ms
memory: 18988kb

input:

804420 1962 410

output:

869056555

result:

ok answer is '869056555'

Test #26:

score: 0
Accepted
time: 12ms
memory: 20548kb

input:

828607 63739 13

output:

926542030

result:

ok answer is '926542030'

Test #27:

score: 0
Accepted
time: 7ms
memory: 13960kb

input:

472167 20529 23

output:

142703540

result:

ok answer is '142703540'

Test #28:

score: 0
Accepted
time: 26ms
memory: 23820kb

input:

363438 363438 1

output:

764563597

result:

ok answer is '764563597'

Test #29:

score: 0
Accepted
time: 43ms
memory: 38936kb

input:

1000000 1000000 628333

output:

283487375

result:

ok answer is '283487375'

Test #30:

score: 0
Accepted
time: 43ms
memory: 38884kb

input:

1000000 1000000 900084

output:

651386967

result:

ok answer is '651386967'

Test #31:

score: 0
Accepted
time: 47ms
memory: 38796kb

input:

1000000 1000000 27328

output:

621963453

result:

ok answer is '621963453'

Test #32:

score: 0
Accepted
time: 52ms
memory: 38844kb

input:

1000000 1000000 538409

output:

997879100

result:

ok answer is '997879100'

Test #33:

score: 0
Accepted
time: 41ms
memory: 38960kb

input:

1000000 1000000 928121

output:

964724707

result:

ok answer is '964724707'

Test #34:

score: 0
Accepted
time: 27ms
memory: 30500kb

input:

685624 665877 563708

output:

257429683

result:

ok answer is '257429683'

Test #35:

score: 0
Accepted
time: 34ms
memory: 36952kb

input:

692290 942095 553970

output:

82511143

result:

ok answer is '82511143'

Test #36:

score: 0
Accepted
time: 30ms
memory: 31900kb

input:

579579 765702 631728

output:

954001361

result:

ok answer is '954001361'

Test #37:

score: 0
Accepted
time: 28ms
memory: 29688kb

input:

756854 634736 567170

output:

393747028

result:

ok answer is '393747028'

Test #38:

score: 0
Accepted
time: 35ms
memory: 37344kb

input:

649175 997874 511181

output:

242172216

result:

ok answer is '242172216'

Test #39:

score: 0
Accepted
time: 36ms
memory: 38084kb

input:

786431 1000000 999999

output:

627359027

result:

ok answer is '627359027'