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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#423620 | #2834. Nonsense | _qwqUwU | WA | 145ms | 102736kb | C++20 | 1.7kb | 2024-05-28 13:03:18 | 2024-05-28 13:03:19 |
Judging History
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
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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'