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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
#32241#1816. Multiple ParenthesesAppleblue17AC ✓117ms109572kbC++1.1kb2022-05-18 10:53:512022-05-18 10:53:51

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.
  • [2022-05-18 10:53:51]
  • 评测
  • 测评结果:AC
  • 用时:117ms
  • 内存:109572kb
  • [2022-05-18 10:53:51]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const long long N=6e6+5,mod=998244353,inv2=499122177,g=3;
 
long long ksm(long long f,long long x){
	long long tot=1;
	while(x){
		if(x & 1ll) tot=1ll*tot*f%mod;
		f=1ll*f*f%mod;
		x>>=1ll;
	}
	return tot;
}
 
 
long long pr[N];
long long mul[N],inv[N];
void init(long long lim){
	for(long long l=1;l<N;l<<=1ll)
		pr[l]=ksm(g,(mod-1)/(l*2));
	mul[0]=inv[0]=1;
	for(long long i=1;i<=lim;i++) mul[i]=1ll*mul[i-1]*i%mod;
	inv[lim]=ksm(mul[lim],mod-2);
	for(long long i=lim-1;i>=1;i--) inv[i]=1ll*inv[i+1]*(i+1)%mod;
}
long long C(long long m,long long n){
	if(m<0 || n<0 || m<n) return 0;
	return 1ll*mul[m]*inv[n]%mod*inv[m-n]%mod;
}
long long cal(long long n,long long k){
	if(n==0) return 1;
	return (C(k-1+2*n,n)+mod-C(k-1+2*n,n-1))%mod;
}
long long ID(long long x){
	if(x & 1ll) return mod-1;
	return 1;
}
long long n,m,k,ans;

int main(){
	init(N-5);
	cin>>k>>n>>m;
	long long t=(C(2*m,m)+mod-C(2*m,m-1))%mod;
	for(int i=0;i<=k && i<=n/m;i++)
		ans=(ans+ksm(mod-t,i)*C(k,i)%mod*cal(n-m*i,k-i)%mod)%mod;
	
	cout<<ans;
}

詳細信息

Test #1:

score: 100
Accepted
time: 47ms
memory: 108812kb

input:

2 2 1

output:

4

result:

ok answer is '4'

Test #2:

score: 0
Accepted
time: 70ms
memory: 108892kb

input:

1 1 1

output:

0

result:

ok answer is '0'

Test #3:

score: 0
Accepted
time: 62ms
memory: 108260kb

input:

24 120 30

output:

379268651

result:

ok answer is '379268651'

Test #4:

score: 0
Accepted
time: 49ms
memory: 109524kb

input:

1451 1598 1130

output:

884873572

result:

ok answer is '884873572'

Test #5:

score: 0
Accepted
time: 72ms
memory: 108668kb

input:

1324 1742 1033

output:

856733047

result:

ok answer is '856733047'

Test #6:

score: 0
Accepted
time: 63ms
memory: 109484kb

input:

1378 1614 1335

output:

869903701

result:

ok answer is '869903701'

Test #7:

score: 0
Accepted
time: 58ms
memory: 108408kb

input:

1071 1907 1281

output:

327700529

result:

ok answer is '327700529'

Test #8:

score: 0
Accepted
time: 72ms
memory: 109536kb

input:

1204 1337 1277

output:

475981175

result:

ok answer is '475981175'

Test #9:

score: 0
Accepted
time: 62ms
memory: 108692kb

input:

146 246 100

output:

404402509

result:

ok answer is '404402509'

Test #10:

score: 0
Accepted
time: 84ms
memory: 109344kb

input:

226 183 144

output:

351921989

result:

ok answer is '351921989'

Test #11:

score: 0
Accepted
time: 62ms
memory: 108648kb

input:

234 287 158

output:

658959115

result:

ok answer is '658959115'

Test #12:

score: 0
Accepted
time: 60ms
memory: 108568kb

input:

242 156 122

output:

325586111

result:

ok answer is '325586111'

Test #13:

score: 0
Accepted
time: 59ms
memory: 107700kb

input:

168 271 135

output:

181613866

result:

ok answer is '181613866'

Test #14:

score: 0
Accepted
time: 45ms
memory: 109024kb

input:

22 25 1

output:

684860973

result:

ok answer is '684860973'

Test #15:

score: 0
Accepted
time: 40ms
memory: 109208kb

input:

45 22 15

output:

217501624

result:

ok answer is '217501624'

Test #16:

score: 0
Accepted
time: 71ms
memory: 109036kb

input:

47 29 16

output:

690840771

result:

ok answer is '690840771'

Test #17:

score: 0
Accepted
time: 47ms
memory: 109532kb

input:

2 25 25

output:

660660974

result:

ok answer is '660660974'

Test #18:

score: 0
Accepted
time: 58ms
memory: 108216kb

input:

32 34 11

output:

133387056

result:

ok answer is '133387056'

Test #19:

score: 0
Accepted
time: 51ms
memory: 108848kb

input:

88196 118335 104471

output:

7192211

result:

ok answer is '7192211'

Test #20:

score: 0
Accepted
time: 52ms
memory: 108188kb

input:

142215 57117 51272

output:

627598793

result:

ok answer is '627598793'

Test #21:

score: 0
Accepted
time: 57ms
memory: 108356kb

input:

102255 60360 51525

output:

447649003

result:

ok answer is '447649003'

Test #22:

score: 0
Accepted
time: 49ms
memory: 108740kb

input:

132449 83413 54230

output:

215816803

result:

ok answer is '215816803'

Test #23:

score: 0
Accepted
time: 43ms
memory: 108564kb

input:

68499 95762 77190

output:

393029560

result:

ok answer is '393029560'

Test #24:

score: 0
Accepted
time: 117ms
memory: 108056kb

input:

751951 751951 1

output:

804170883

result:

ok answer is '804170883'

Test #25:

score: 0
Accepted
time: 59ms
memory: 108556kb

input:

804420 1962 410

output:

869056555

result:

ok answer is '869056555'

Test #26:

score: 0
Accepted
time: 62ms
memory: 108832kb

input:

828607 63739 13

output:

926542030

result:

ok answer is '926542030'

Test #27:

score: 0
Accepted
time: 60ms
memory: 109348kb

input:

472167 20529 23

output:

142703540

result:

ok answer is '142703540'

Test #28:

score: 0
Accepted
time: 93ms
memory: 109100kb

input:

363438 363438 1

output:

764563597

result:

ok answer is '764563597'

Test #29:

score: 0
Accepted
time: 66ms
memory: 109372kb

input:

1000000 1000000 628333

output:

283487375

result:

ok answer is '283487375'

Test #30:

score: 0
Accepted
time: 45ms
memory: 109572kb

input:

1000000 1000000 900084

output:

651386967

result:

ok answer is '651386967'

Test #31:

score: 0
Accepted
time: 54ms
memory: 108488kb

input:

1000000 1000000 27328

output:

621963453

result:

ok answer is '621963453'

Test #32:

score: 0
Accepted
time: 51ms
memory: 109360kb

input:

1000000 1000000 538409

output:

997879100

result:

ok answer is '997879100'

Test #33:

score: 0
Accepted
time: 66ms
memory: 109436kb

input:

1000000 1000000 928121

output:

964724707

result:

ok answer is '964724707'

Test #34:

score: 0
Accepted
time: 44ms
memory: 109380kb

input:

685624 665877 563708

output:

257429683

result:

ok answer is '257429683'

Test #35:

score: 0
Accepted
time: 47ms
memory: 109168kb

input:

692290 942095 553970

output:

82511143

result:

ok answer is '82511143'

Test #36:

score: 0
Accepted
time: 54ms
memory: 108424kb

input:

579579 765702 631728

output:

954001361

result:

ok answer is '954001361'

Test #37:

score: 0
Accepted
time: 62ms
memory: 109312kb

input:

756854 634736 567170

output:

393747028

result:

ok answer is '393747028'

Test #38:

score: 0
Accepted
time: 67ms
memory: 109216kb

input:

649175 997874 511181

output:

242172216

result:

ok answer is '242172216'

Test #39:

score: 0
Accepted
time: 53ms
memory: 109440kb

input:

786431 1000000 999999

output:

627359027

result:

ok answer is '627359027'