QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#423620#2834. Nonsense_qwqUwUWA 145ms102736kbC++201.7kb2024-05-28 13:03:182024-05-28 13:03:19

Judging History

你现在查看的是最新测评结果

  • [2024-05-28 13:03:19]
  • 评测
  • 测评结果:WA
  • 用时:145ms
  • 内存:102736kb
  • [2024-05-28 13:03:18]
  • 提交

answer

#include<bits/stdc++.h>
#define pb push_back
#define P make_pair
#define fi first
#define se second
#define rep(i,a,b) for(int i=(a);i<=(b);++i)
#define per(i,a,b) for(int i=(a);i>=(b);--i)
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
inline ll read(){
	ll x=0,c=getchar();
	while(c<'0'||c>'9')c=getchar();
	while(c>='0' && c<='9')x=x*10 + c-'0',c=getchar();
	return x;
}
int n,x,y,ma,mb,q;
const int mod=998244353;
inline void Ad(int &x,int y){x=x+y>=mod?x+y-mod:x+y;}
inline int ad(int x,int y){return x+y>=mod?x+y-mod:x+y;}
const int M=2e5+2;
const int N=5003;
int A[M],B[M];
int a[N][N],C[N],iv[N];
inline int fp(int x,int p=mod-2){
	int res=1;
	for(;p;p>>=1){
		if(p&1)res=1ll*res*x%mod;
		x=1ll*x*x%mod;
	}
	return res;
}
inline void solve(){
	ma=mb=0;
	rep(i,1,q)A[i]=read(),B[i]=read(),ma=max(ma,A[i]),mb=max(mb,B[i]);
	if(x==y){
		rep(i,1,q){
			int res=fp(x,n-A[i]-B[i]);
			rep(j,1,A[i]+B[i])res=1ll*res*(n-j+1)%mod*iv[j]%mod;
			printf("%d\n",res);
		}
		return ;
	}
	C[0]=1;
	rep(i,1,max(ma,mb))C[i]=1ll*C[i-1]*(n-i+2)%mod*iv[i]%mod;
	const int ivx=fp(x),ivy=fp(y),iv=fp(ad(x,mod-y));
	int px=fp(x,n+1),py=fp(y,n+1);
	a[0][0]=ad(px,mod-py);
	rep(i,1,ma)px=1ll*px*ivx%mod,a[i][0]=1ll*px*C[i]%mod;
	rep(i,1,mb)py=1ll*py*ivy%mod,a[0][i]=mod-1ll*py*C[i]%mod;
	rep(i,1,ma)rep(j,1,mb)a[i][j]=0;
	rep(i,0,ma)rep(j,0,mb){
		a[i][j]=1ll*a[i][j]*iv%mod;
		Ad(a[i+1][j],mod-a[i][j]);
		Ad(a[i][j+1],a[i][j]);
	}
	rep(i,1,q)printf("%d\n",a[A[i]][B[i]]);
}
int main(){
	//freopen("data.in","r",stdin);
	//freopen(".in","r",stdin);
	//freopen(".out","w",stdout);
	iv[1]=1;rep(i,2,N-1)iv[i]=1ll*iv[mod%i]*(mod-mod/i)%mod;
	while(scanf("%d%d%d%d",&n,&x,&y,&q)!=EOF)solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5908kb

input:

3 1 2 2
1 1
1 2
100 2 3 1
1 1

output:

6
1
866021789

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 6ms
memory: 25228kb

input:

1000000000 0 1 1
1000 1000
2 0 0 1
1 1
2 998244352 998244352 1
1 1

output:

381781645
1
1

result:

ok 3 lines

Test #3:

score: 0
Accepted
time: 145ms
memory: 102736kb

input:

1000000000 998244351 998244352 1
5000 5000

output:

663228915

result:

ok single line: '663228915'

Test #4:

score: -100
Wrong Answer
time: 13ms
memory: 3820kb

input:

105886041 9 3 200
4 3
5 1
1 1
4 1
3 3
1 5
2 1
1 5
2 1
1 5
3 3
4 4
2 1
4 4
1 2
5 2
5 2
2 5
4 5
3 3
4 3
1 4
3 1
5 4
5 3
5 2
5 3
3 3
1 3
4 3
2 3
3 5
1 3
3 5
2 3
4 4
3 4
5 5
2 3
1 1
3 3
4 2
1 4
4 5
2 3
1 5
2 2
4 2
5 5
2 1
4 3
3 3
3 1
2 1
2 5
1 1
4 4
1 5
1 5
3 1
3 2
2 2
4 1
5 5
3 4
2 2
2 1
5 3
5 3
2 2
1 ...

output:

721440251
764408668
442427888
914530150
115811774
360614503
666106268
360614503
666106268
360614503
115811774
166867820
666106268
166867820
985976063
717651702
717651702
405340273
435048189
115811774
721440251
719754512
660548079
998056822
165742634
717651702
165742634
115811774
407319461
721440251
...

result:

wrong answer 601st lines differ - expected: '693360471', found: '589969110'