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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#13529#1816. Multiple ParenthesesJohnAlfnovAC ✓201ms74164kbC++98924b2021-09-15 16:28:002022-05-17 02:41:42

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.
  • [2022-05-17 02:41:42]
  • 评测
  • 测评结果:AC
  • 用时:201ms
  • 内存:74164kb
  • [2021-09-15 16:28:00]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=3e6+5,mod=998244353;
int n,m,k;ll ans,fac[N],inv[N],Inv[N+N];
inline ll qpow(ll a,ll b){ll ans=1;for(;b;b>>=1,a=a*a%mod)if(b&1)ans=ans*a%mod;return ans;}
inline void precalc(int n){
	fac[0]=1;for(int i=1;i<=n;++i)fac[i]=fac[i-1]*i%mod;
	inv[n]=qpow(fac[n],mod-2);for(int i=n-1;~i;--i)inv[i]=(i+1)*inv[i+1]%mod;
	Inv[0]=Inv[1]=1;for(int i=2;i<=n;++i)Inv[i]=(mod-mod/i)*Inv[mod%i]%mod;
}
inline ll C(int n,int m){return fac[n]*inv[m]%mod*inv[n-m]%mod;}
inline ll F(int n,int m){
	if(m==0)return 1;
	if(n==0)return 0;
	return C(2*m+n-1,m)*Inv[m+n]%mod*n%mod;
}
int main(){
	precalc(3e6);
	scanf("%d%d%d",&n,&m,&k);
	for(int i=0;i<=n;++i)
    	if(1ll*i*k<=m){
			ll coef;
			coef=C(n,i)*qpow(F(1,k),i)%mod*F(n-i,m-i*k)%mod;
			if(i&1)ans=(ans-coef+mod)%mod;
			else (ans+=coef)%=mod;
		}
	return printf("%lld\n",ans),0;
}

详细

Test #1:

score: 100
Accepted
time: 65ms
memory: 74088kb

input:

2 2 1

output:

4

result:

ok answer is '4'

Test #2:

score: 0
Accepted
time: 71ms
memory: 74032kb

input:

1 1 1

output:

0

result:

ok answer is '0'

Test #3:

score: 0
Accepted
time: 71ms
memory: 74088kb

input:

24 120 30

output:

379268651

result:

ok answer is '379268651'

Test #4:

score: 0
Accepted
time: 69ms
memory: 74024kb

input:

1451 1598 1130

output:

884873572

result:

ok answer is '884873572'

Test #5:

score: 0
Accepted
time: 67ms
memory: 74164kb

input:

1324 1742 1033

output:

856733047

result:

ok answer is '856733047'

Test #6:

score: 0
Accepted
time: 74ms
memory: 74092kb

input:

1378 1614 1335

output:

869903701

result:

ok answer is '869903701'

Test #7:

score: 0
Accepted
time: 66ms
memory: 74028kb

input:

1071 1907 1281

output:

327700529

result:

ok answer is '327700529'

Test #8:

score: 0
Accepted
time: 49ms
memory: 74104kb

input:

1204 1337 1277

output:

475981175

result:

ok answer is '475981175'

Test #9:

score: 0
Accepted
time: 71ms
memory: 74120kb

input:

146 246 100

output:

404402509

result:

ok answer is '404402509'

Test #10:

score: 0
Accepted
time: 80ms
memory: 74076kb

input:

226 183 144

output:

351921989

result:

ok answer is '351921989'

Test #11:

score: 0
Accepted
time: 70ms
memory: 74100kb

input:

234 287 158

output:

658959115

result:

ok answer is '658959115'

Test #12:

score: 0
Accepted
time: 76ms
memory: 74028kb

input:

242 156 122

output:

325586111

result:

ok answer is '325586111'

Test #13:

score: 0
Accepted
time: 63ms
memory: 74112kb

input:

168 271 135

output:

181613866

result:

ok answer is '181613866'

Test #14:

score: 0
Accepted
time: 67ms
memory: 74112kb

input:

22 25 1

output:

684860973

result:

ok answer is '684860973'

Test #15:

score: 0
Accepted
time: 65ms
memory: 74088kb

input:

45 22 15

output:

217501624

result:

ok answer is '217501624'

Test #16:

score: 0
Accepted
time: 61ms
memory: 74096kb

input:

47 29 16

output:

690840771

result:

ok answer is '690840771'

Test #17:

score: 0
Accepted
time: 41ms
memory: 74076kb

input:

2 25 25

output:

660660974

result:

ok answer is '660660974'

Test #18:

score: 0
Accepted
time: 79ms
memory: 74108kb

input:

32 34 11

output:

133387056

result:

ok answer is '133387056'

Test #19:

score: 0
Accepted
time: 51ms
memory: 74164kb

input:

88196 118335 104471

output:

7192211

result:

ok answer is '7192211'

Test #20:

score: 0
Accepted
time: 77ms
memory: 74160kb

input:

142215 57117 51272

output:

627598793

result:

ok answer is '627598793'

Test #21:

score: 0
Accepted
time: 78ms
memory: 74076kb

input:

102255 60360 51525

output:

447649003

result:

ok answer is '447649003'

Test #22:

score: 0
Accepted
time: 68ms
memory: 74076kb

input:

132449 83413 54230

output:

215816803

result:

ok answer is '215816803'

Test #23:

score: 0
Accepted
time: 57ms
memory: 74092kb

input:

68499 95762 77190

output:

393029560

result:

ok answer is '393029560'

Test #24:

score: 0
Accepted
time: 201ms
memory: 74160kb

input:

751951 751951 1

output:

804170883

result:

ok answer is '804170883'

Test #25:

score: 0
Accepted
time: 82ms
memory: 74024kb

input:

804420 1962 410

output:

869056555

result:

ok answer is '869056555'

Test #26:

score: 0
Accepted
time: 70ms
memory: 73960kb

input:

828607 63739 13

output:

926542030

result:

ok answer is '926542030'

Test #27:

score: 0
Accepted
time: 83ms
memory: 74024kb

input:

472167 20529 23

output:

142703540

result:

ok answer is '142703540'

Test #28:

score: 0
Accepted
time: 106ms
memory: 74004kb

input:

363438 363438 1

output:

764563597

result:

ok answer is '764563597'

Test #29:

score: 0
Accepted
time: 66ms
memory: 74048kb

input:

1000000 1000000 628333

output:

283487375

result:

ok answer is '283487375'

Test #30:

score: 0
Accepted
time: 74ms
memory: 73956kb

input:

1000000 1000000 900084

output:

651386967

result:

ok answer is '651386967'

Test #31:

score: 0
Accepted
time: 74ms
memory: 74092kb

input:

1000000 1000000 27328

output:

621963453

result:

ok answer is '621963453'

Test #32:

score: 0
Accepted
time: 58ms
memory: 74124kb

input:

1000000 1000000 538409

output:

997879100

result:

ok answer is '997879100'

Test #33:

score: 0
Accepted
time: 57ms
memory: 74076kb

input:

1000000 1000000 928121

output:

964724707

result:

ok answer is '964724707'

Test #34:

score: 0
Accepted
time: 80ms
memory: 74044kb

input:

685624 665877 563708

output:

257429683

result:

ok answer is '257429683'

Test #35:

score: 0
Accepted
time: 67ms
memory: 73960kb

input:

692290 942095 553970

output:

82511143

result:

ok answer is '82511143'

Test #36:

score: 0
Accepted
time: 69ms
memory: 73956kb

input:

579579 765702 631728

output:

954001361

result:

ok answer is '954001361'

Test #37:

score: 0
Accepted
time: 60ms
memory: 74164kb

input:

756854 634736 567170

output:

393747028

result:

ok answer is '393747028'

Test #38:

score: 0
Accepted
time: 55ms
memory: 74160kb

input:

649175 997874 511181

output:

242172216

result:

ok answer is '242172216'

Test #39:

score: 0
Accepted
time: 58ms
memory: 74072kb

input:

786431 1000000 999999

output:

627359027

result:

ok answer is '627359027'