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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
#836203#1816. Multiple ParenthesesHarry27182AC ✓29ms31728kbC++14975b2024-12-28 17:21:032024-12-28 17:21:12

Judging History

This is the latest submission verdict.

  • [2024-12-28 17:21:12]
  • Judged
  • Verdict: AC
  • Time: 29ms
  • Memory: 31728kb
  • [2024-12-28 17:21:03]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
int n,m,k,fac[30000005],inv[30000005],ans/*,mod*/;
const int mod=998244353;
int C(int x,int y){return 1ll*fac[x]*inv[y]%mod*inv[x-y]%mod;}
void Add(int &x,int y){x=(x+y>=mod?x+y-mod:x+y);}
int qpow(int x,int y)
{
	int res=1;
	while(y)
	{
		if(y&1)res=1ll*res*x%mod;
		x=1ll*x*x%mod;y/=2;
	}
	return res;
}
int calc(int n,int m)
{
	if(!m)return 1;
	int ans=C(n+m+m-1,m);Add(ans,mod-C(n+m+m-1,m-1));
	return ans;
}
int main()
{
	cin.tie(0)->sync_with_stdio(0);
	cin>>n>>m>>k/*>>mod*/;
	fac[0]=inv[0]=1;
	for(int i=1;i<=max(n,m)*3;i++)fac[i]=1ll*fac[i-1]*i%mod;
	inv[max(n,m)*3]=qpow(fac[max(n,m)*3],mod-2);
	for(int i=max(n,m)*3-1;i>=1;i--)inv[i]=1ll*inv[i+1]*(i+1)%mod;
	for(int i=0,w=1;i<=min(n,m/k);i++)
	{
		if(i&1)Add(ans,mod-1ll*calc(n-i,m-i*k)*C(n,i)%mod*w%mod);
		else Add(ans,1ll*calc(n-i,m-i*k)*C(n,i)%mod*w%mod);
		w=1ll*w*(C(2*k,k)-C(2*k,k-1)+mod)%mod;
	}
	cout<<ans;
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 5756kb

input:

2 2 1

output:

4

result:

ok answer is '4'

Test #2:

score: 0
Accepted
time: 0ms
memory: 5704kb

input:

1 1 1

output:

0

result:

ok answer is '0'

Test #3:

score: 0
Accepted
time: 0ms
memory: 5696kb

input:

24 120 30

output:

379268651

result:

ok answer is '379268651'

Test #4:

score: 0
Accepted
time: 1ms
memory: 5720kb

input:

1451 1598 1130

output:

884873572

result:

ok answer is '884873572'

Test #5:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

1324 1742 1033

output:

856733047

result:

ok answer is '856733047'

Test #6:

score: 0
Accepted
time: 1ms
memory: 5720kb

input:

1378 1614 1335

output:

869903701

result:

ok answer is '869903701'

Test #7:

score: 0
Accepted
time: 0ms
memory: 5780kb

input:

1071 1907 1281

output:

327700529

result:

ok answer is '327700529'

Test #8:

score: 0
Accepted
time: 1ms
memory: 5708kb

input:

1204 1337 1277

output:

475981175

result:

ok answer is '475981175'

Test #9:

score: 0
Accepted
time: 1ms
memory: 5744kb

input:

146 246 100

output:

404402509

result:

ok answer is '404402509'

Test #10:

score: 0
Accepted
time: 1ms
memory: 5704kb

input:

226 183 144

output:

351921989

result:

ok answer is '351921989'

Test #11:

score: 0
Accepted
time: 1ms
memory: 5704kb

input:

234 287 158

output:

658959115

result:

ok answer is '658959115'

Test #12:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

242 156 122

output:

325586111

result:

ok answer is '325586111'

Test #13:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

168 271 135

output:

181613866

result:

ok answer is '181613866'

Test #14:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

22 25 1

output:

684860973

result:

ok answer is '684860973'

Test #15:

score: 0
Accepted
time: 1ms
memory: 5680kb

input:

45 22 15

output:

217501624

result:

ok answer is '217501624'

Test #16:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

47 29 16

output:

690840771

result:

ok answer is '690840771'

Test #17:

score: 0
Accepted
time: 1ms
memory: 5676kb

input:

2 25 25

output:

660660974

result:

ok answer is '660660974'

Test #18:

score: 0
Accepted
time: 1ms
memory: 5640kb

input:

32 34 11

output:

133387056

result:

ok answer is '133387056'

Test #19:

score: 0
Accepted
time: 4ms
memory: 8020kb

input:

88196 118335 104471

output:

7192211

result:

ok answer is '7192211'

Test #20:

score: 0
Accepted
time: 5ms
memory: 10260kb

input:

142215 57117 51272

output:

627598793

result:

ok answer is '627598793'

Test #21:

score: 0
Accepted
time: 0ms
memory: 10528kb

input:

102255 60360 51525

output:

447649003

result:

ok answer is '447649003'

Test #22:

score: 0
Accepted
time: 5ms
memory: 11028kb

input:

132449 83413 54230

output:

215816803

result:

ok answer is '215816803'

Test #23:

score: 0
Accepted
time: 0ms
memory: 8804kb

input:

68499 95762 77190

output:

393029560

result:

ok answer is '393029560'

Test #24:

score: 0
Accepted
time: 27ms
memory: 24060kb

input:

751951 751951 1

output:

804170883

result:

ok answer is '804170883'

Test #25:

score: 0
Accepted
time: 20ms
memory: 26696kb

input:

804420 1962 410

output:

869056555

result:

ok answer is '869056555'

Test #26:

score: 0
Accepted
time: 21ms
memory: 25860kb

input:

828607 63739 13

output:

926542030

result:

ok answer is '926542030'

Test #27:

score: 0
Accepted
time: 14ms
memory: 17572kb

input:

472167 20529 23

output:

142703540

result:

ok answer is '142703540'

Test #28:

score: 0
Accepted
time: 15ms
memory: 14268kb

input:

363438 363438 1

output:

764563597

result:

ok answer is '764563597'

Test #29:

score: 0
Accepted
time: 21ms
memory: 31728kb

input:

1000000 1000000 628333

output:

283487375

result:

ok answer is '283487375'

Test #30:

score: 0
Accepted
time: 26ms
memory: 30928kb

input:

1000000 1000000 900084

output:

651386967

result:

ok answer is '651386967'

Test #31:

score: 0
Accepted
time: 21ms
memory: 31532kb

input:

1000000 1000000 27328

output:

621963453

result:

ok answer is '621963453'

Test #32:

score: 0
Accepted
time: 29ms
memory: 31444kb

input:

1000000 1000000 538409

output:

997879100

result:

ok answer is '997879100'

Test #33:

score: 0
Accepted
time: 16ms
memory: 31288kb

input:

1000000 1000000 928121

output:

964724707

result:

ok answer is '964724707'

Test #34:

score: 0
Accepted
time: 16ms
memory: 23532kb

input:

685624 665877 563708

output:

257429683

result:

ok answer is '257429683'

Test #35:

score: 0
Accepted
time: 19ms
memory: 29448kb

input:

692290 942095 553970

output:

82511143

result:

ok answer is '82511143'

Test #36:

score: 0
Accepted
time: 23ms
memory: 24864kb

input:

579579 765702 631728

output:

954001361

result:

ok answer is '954001361'

Test #37:

score: 0
Accepted
time: 18ms
memory: 25028kb

input:

756854 634736 567170

output:

393747028

result:

ok answer is '393747028'

Test #38:

score: 0
Accepted
time: 26ms
memory: 29660kb

input:

649175 997874 511181

output:

242172216

result:

ok answer is '242172216'

Test #39:

score: 0
Accepted
time: 22ms
memory: 31008kb

input:

786431 1000000 999999

output:

627359027

result:

ok answer is '627359027'