QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#717364 | #8552. Sticks | born_to_sun | TL | 3ms | 81468kb | C++14 | 1.3kb | 2024-11-06 17:43:51 | 2024-11-06 17:43:51 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int mod=998244353;
const int N=3e3+5;
int qpow(int a,int x){
int sum=1;
while(x){
if(x&1) sum=sum*a%mod;
a=a*a%mod;
x>>=1;
}return sum;
}
int n;
char a[N][N];
int S0[N][N],S[N][N];
int g[N][N],h[N][N];
int f[N][N];
int pw[N*N];
void init(){
pw[0]=1;
for(int i=1;i<=n*n;i++) pw[i]=pw[i-1]*2%mod;
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++) S0[i][j]=S0[i][j-1]+S0[i-1][j]-S0[i-1][j-1]+(a[i][j]=='0'),S[i][j]=S[i][j-1]+(a[i][j]=='?');
}
for(int i=1;i<=n;i++){
g[i][0]=1;
for(int j=1;j<=n;j++){
g[i][j]=g[i][j-1]*(a[i][j]!='1')+(S0[i][j]-S0[i-1][j]==0);
}
}
for(int j=1;j<=n;j++){
h[0][j]=1;
for(int i=1;i<=n;i++) h[i][j]=h[i-1][j]*(a[i][j]!='1')+(S0[i][j]-S0[i][j-1]==0);
}
}
int dfs(int x,int y){
if(x<=0||y<=0) return 1;
if(~f[x][y]) return f[x][y];
int res=0;
int now=1;
for(int i=x;i>=2;i--){
if(S0[i][y]-S0[i-1][y]==0&&a[i-1][y]!='1'){
res+=dfs(i-1,y-1)*now%mod*h[i-2][y]%mod;
}
now*=g[i][y];
}
res+=dfs(x,y-1)*h[x][y]%mod;
// cerr<<x<<" "<<y<<" "<<res<<' '<<now<<' '<<g[1][y]<<'\n';
return f[x][y]=res%mod;
}
signed main(){
memset(f,-1,sizeof(f));
cin>>n;
for(int i=1;i<=n;i++) cin>>(a[i]+1);
init();
cout<<dfs(n,n);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 79480kb
input:
2 ?? ??
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 3ms
memory: 81428kb
input:
5 ??1?? ?1??0 ??0?? ???1? ??1??
output:
3144
result:
ok 1 number(s): "3144"
Test #3:
score: 0
Accepted
time: 0ms
memory: 81468kb
input:
10 0000000000 ?????????? ?????????? ?????????? ?????????? ?????????? ?????????? ?????????? ?????????? ??????????
output:
361458985
result:
ok 1 number(s): "361458985"
Test #4:
score: -100
Time Limit Exceeded
input:
3000 ??????????????????????????????????????????????????????????0?????????????????????0??????????????????????????????????????????????????????????????????????????????????????0???????????????????????????????????????????0???????????????????????????????????????????????????????????????????????????????????...