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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
#20994#1816. Multiple ParenthesesezoilearnerAC ✓77ms38940kbC++141.4kb2022-02-23 09:14:022022-05-03 12:11:08

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.
  • [2022-05-03 12:11:08]
  • 评测
  • 测评结果:AC
  • 用时:77ms
  • 内存:38940kb
  • [2022-02-23 09:14:02]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#define cout cerr
#define rep(i,a,b) for(int i=(a);i<=(b);++i)
#define per(i,a,b) for(int i=(a);i>=(b);--i)

typedef long long ll;
typedef pair<int,int> pii;
#define FR first
#define SE second

inline void rd(int &x){
	x=0;char ch=getchar();int f=1;
	while(ch<'0'||ch>'9'){
		if(ch=='-')f=-1;
		ch=getchar();
	}
	while(ch>='0'&&ch<='9'){
		x=x*10+ch-'0';
		ch=getchar();
	}
	x*=f;
}

const int Mod=998244353;
namespace modular{
	int add(int a,int b){return a+b>=Mod?a+b-Mod:a+b;}
	int dec(int a,int b){return a-b<0?a-b+Mod:a-b;}
	int mul(int a,int b){return 1ll*a*b%Mod;}
}using namespace modular;

int n,m,K;
#define Maxn 3000010

const int N=3e6;
int fact[Maxn],inv[Maxn],ifac[Maxn];
void init(){
	fact[0]=1;
	rep(i,1,N)fact[i]=mul(fact[i-1],i);
	inv[0]=inv[1]=1;rep(i,2,N)inv[i]=mul(Mod-Mod/i,inv[Mod%i]);
	ifac[0]=1;rep(i,1,N)ifac[i]=mul(ifac[i-1],inv[i]);
}

int C(int a,int b){
	if(a<b)return 0;
	return mul(fact[a],mul(ifac[b],ifac[a-b]));
}

int calc(int i,int j){
	if(i==0)return j==0;
	return dec(C(2*j+i-1,j+i-1),C(2*j+i-1,j+i));
	
}

int main(){
	init();
	rd(n);rd(m);rd(K);
	int t=calc(1,K),tmp=1;
	int Ans=0;
	rep(i,0,min(n,m/K)){
		int cur=mul(C(n,i),calc(n-i,m-i*K));
		cur=mul(cur,tmp);
		if(i&1)Ans=dec(Ans,cur);
		else Ans=add(Ans,cur);
		tmp=mul(tmp,t);
	}
	printf("%d\n",Ans);
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 58ms
memory: 38804kb

input:

2 2 1

output:

4

result:

ok answer is '4'

Test #2:

score: 0
Accepted
time: 60ms
memory: 38800kb

input:

1 1 1

output:

0

result:

ok answer is '0'

Test #3:

score: 0
Accepted
time: 54ms
memory: 38888kb

input:

24 120 30

output:

379268651

result:

ok answer is '379268651'

Test #4:

score: 0
Accepted
time: 68ms
memory: 38848kb

input:

1451 1598 1130

output:

884873572

result:

ok answer is '884873572'

Test #5:

score: 0
Accepted
time: 54ms
memory: 38896kb

input:

1324 1742 1033

output:

856733047

result:

ok answer is '856733047'

Test #6:

score: 0
Accepted
time: 64ms
memory: 38848kb

input:

1378 1614 1335

output:

869903701

result:

ok answer is '869903701'

Test #7:

score: 0
Accepted
time: 61ms
memory: 38876kb

input:

1071 1907 1281

output:

327700529

result:

ok answer is '327700529'

Test #8:

score: 0
Accepted
time: 64ms
memory: 38848kb

input:

1204 1337 1277

output:

475981175

result:

ok answer is '475981175'

Test #9:

score: 0
Accepted
time: 51ms
memory: 38732kb

input:

146 246 100

output:

404402509

result:

ok answer is '404402509'

Test #10:

score: 0
Accepted
time: 48ms
memory: 38780kb

input:

226 183 144

output:

351921989

result:

ok answer is '351921989'

Test #11:

score: 0
Accepted
time: 66ms
memory: 38876kb

input:

234 287 158

output:

658959115

result:

ok answer is '658959115'

Test #12:

score: 0
Accepted
time: 63ms
memory: 38900kb

input:

242 156 122

output:

325586111

result:

ok answer is '325586111'

Test #13:

score: 0
Accepted
time: 58ms
memory: 38884kb

input:

168 271 135

output:

181613866

result:

ok answer is '181613866'

Test #14:

score: 0
Accepted
time: 54ms
memory: 38848kb

input:

22 25 1

output:

684860973

result:

ok answer is '684860973'

Test #15:

score: 0
Accepted
time: 57ms
memory: 38864kb

input:

45 22 15

output:

217501624

result:

ok answer is '217501624'

Test #16:

score: 0
Accepted
time: 49ms
memory: 38776kb

input:

47 29 16

output:

690840771

result:

ok answer is '690840771'

Test #17:

score: 0
Accepted
time: 54ms
memory: 38824kb

input:

2 25 25

output:

660660974

result:

ok answer is '660660974'

Test #18:

score: 0
Accepted
time: 52ms
memory: 38776kb

input:

32 34 11

output:

133387056

result:

ok answer is '133387056'

Test #19:

score: 0
Accepted
time: 68ms
memory: 38816kb

input:

88196 118335 104471

output:

7192211

result:

ok answer is '7192211'

Test #20:

score: 0
Accepted
time: 55ms
memory: 38800kb

input:

142215 57117 51272

output:

627598793

result:

ok answer is '627598793'

Test #21:

score: 0
Accepted
time: 55ms
memory: 38868kb

input:

102255 60360 51525

output:

447649003

result:

ok answer is '447649003'

Test #22:

score: 0
Accepted
time: 48ms
memory: 38844kb

input:

132449 83413 54230

output:

215816803

result:

ok answer is '215816803'

Test #23:

score: 0
Accepted
time: 43ms
memory: 38780kb

input:

68499 95762 77190

output:

393029560

result:

ok answer is '393029560'

Test #24:

score: 0
Accepted
time: 62ms
memory: 38852kb

input:

751951 751951 1

output:

804170883

result:

ok answer is '804170883'

Test #25:

score: 0
Accepted
time: 53ms
memory: 38812kb

input:

804420 1962 410

output:

869056555

result:

ok answer is '869056555'

Test #26:

score: 0
Accepted
time: 55ms
memory: 38812kb

input:

828607 63739 13

output:

926542030

result:

ok answer is '926542030'

Test #27:

score: 0
Accepted
time: 44ms
memory: 38732kb

input:

472167 20529 23

output:

142703540

result:

ok answer is '142703540'

Test #28:

score: 0
Accepted
time: 57ms
memory: 38808kb

input:

363438 363438 1

output:

764563597

result:

ok answer is '764563597'

Test #29:

score: 0
Accepted
time: 60ms
memory: 38800kb

input:

1000000 1000000 628333

output:

283487375

result:

ok answer is '283487375'

Test #30:

score: 0
Accepted
time: 46ms
memory: 38812kb

input:

1000000 1000000 900084

output:

651386967

result:

ok answer is '651386967'

Test #31:

score: 0
Accepted
time: 56ms
memory: 38852kb

input:

1000000 1000000 27328

output:

621963453

result:

ok answer is '621963453'

Test #32:

score: 0
Accepted
time: 65ms
memory: 38812kb

input:

1000000 1000000 538409

output:

997879100

result:

ok answer is '997879100'

Test #33:

score: 0
Accepted
time: 51ms
memory: 38808kb

input:

1000000 1000000 928121

output:

964724707

result:

ok answer is '964724707'

Test #34:

score: 0
Accepted
time: 63ms
memory: 38848kb

input:

685624 665877 563708

output:

257429683

result:

ok answer is '257429683'

Test #35:

score: 0
Accepted
time: 41ms
memory: 38896kb

input:

692290 942095 553970

output:

82511143

result:

ok answer is '82511143'

Test #36:

score: 0
Accepted
time: 67ms
memory: 38872kb

input:

579579 765702 631728

output:

954001361

result:

ok answer is '954001361'

Test #37:

score: 0
Accepted
time: 66ms
memory: 38732kb

input:

756854 634736 567170

output:

393747028

result:

ok answer is '393747028'

Test #38:

score: 0
Accepted
time: 77ms
memory: 38940kb

input:

649175 997874 511181

output:

242172216

result:

ok answer is '242172216'

Test #39:

score: 0
Accepted
time: 45ms
memory: 38856kb

input:

786431 1000000 999999

output:

627359027

result:

ok answer is '627359027'