#include <bits/stdc++.h>
using namespace std;
const int mod=1000000007;
int n,cnt,f[6001],f2[6001],dp[2001][6001][2],pre[2001][6001],suf[2001][6002];
string s[3];
pair <int, int> p;
vector <int> v;
int pw(int a, int b){
if (!b)
return 1;
int t=pw(a,b>>1);
t=(1LL*t*t)%mod;
return (b&1?(1LL*t*a)%mod:t);
}
int C(int n, int k){
return 1LL*f[n]*f2[k]%mod*f2[n-k]%mod;
}
void solve(){
if (v.empty())
return;
int cnt=0;
for (int i=0;i<v.size();i++){
cnt+=v[i]+1;
for (int j=1;j<=cnt+1;j++){
dp[i][j][0]=dp[i][j][1]=pre[i][j]=suf[i][j]=0;
if (!i){
if (!v[i])
dp[i][j][0]=dp[i][j][1]=1;
else if (v[i]==1){
dp[i][j][0]=j-1;
dp[i][j][1]=1;
}
else if (v[i]==2){
dp[i][j][0]=(j==3)*2;
dp[i][j][1]=2;
}
continue;
}
if (!v[i]){
dp[i][j][0]=dp[i][j][1]=(pre[i-1][j-1]+suf[i-1][j])%mod;
continue;
}
if (v[i]==1){
dp[i][j][0]=1LL*((j>1?pre[i-1][j-2]:0)+suf[i-1][max(j-1,1)])%mod*(j-1)%mod;
dp[i][j][1]=(dp[i][j][0]+1LL*pre[i-1][j-1]*(cnt-j)%mod)%mod;
continue;
}
dp[i][j][0]=1LL*((j>2?pre[i-1][j-3]:0)+suf[i-1][max(j-2,1)])%mod*(j-1)%mod*(j-2)%mod;
dp[i][j][1]=dp[i][j][0]+1LL*pre[i-1][j-1]*(cnt-j)%mod*(cnt-j-1)%mod+1LL*pre[i-1][j-2]*(cnt-j)%mod*(j-1)*2%mod;
}
for (int j=1;j<=cnt;j++)
pre[i][j]=(pre[i][j-1]+dp[i][j][0])%mod;
for (int j=cnt;j;j--)
suf[i][j]=(suf[i][j+1]+dp[i][j][1])%mod;
}
p.second+=cnt;
p.first=1LL*p.first*suf[v.size()-1][1]%mod*C(p.second,p.second-cnt)%mod;
v.clear();
}
int main(){
ios_base::sync_with_stdio(NULL);cin.tie(nullptr);
f[0]=f2[0]=1;
for (int i=1;i<=6000;i++){
f[i]=1LL*f[i-1]*i%mod;
f2[i]=pw(f[i],mod-2);
}
cin >> n >> s[0] >> s[1] >> s[2];
s[1]+='o';
if (s[0][0]=='x'||s[0][n-1]=='x'||s[2][0]=='x'||s[2][n-1]=='x'){
cout << 0;
return 0;
}
for (int i=0;i<n-1;i++)
if ((s[0][i]=='x'&&s[0][i+1]=='x')||(s[2][i]=='x'&&s[2][i+1]=='x')){
cout << 0;
return 0;
}
for (int i=0;i<n;i++){
cnt+=(s[0][i]=='x'&&s[1][i]=='o');
cnt+=(s[2][i]=='x'&&s[1][i]=='o');
}
p.second=cnt;
p.first=1;
for (int i=1;i<=cnt;i++)
p.first=(p.first*i)%mod;
for (int i=0;i<=n;i++){
if (s[1][i]=='o'){
solve();
continue;
}
v.push_back((s[0][i]=='x')+(s[2][i]=='x'));
}
cout << p.first;
}
Compilation message
solitaire.cpp: In function 'void solve()':
solitaire.cpp:22:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
22 | for (int i=0;i<v.size();i++){
| ~^~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
292 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
372 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
3 ms |
368 KB |
Output is correct |
12 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
500 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
4 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
5 |
Incorrect |
2 ms |
340 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
292 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
372 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
3 ms |
368 KB |
Output is correct |
12 |
Correct |
3 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
4 ms |
340 KB |
Output is correct |
16 |
Correct |
2 ms |
340 KB |
Output is correct |
17 |
Incorrect |
2 ms |
340 KB |
Output isn't correct |
18 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
292 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
372 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
3 ms |
368 KB |
Output is correct |
12 |
Correct |
3 ms |
340 KB |
Output is correct |
13 |
Incorrect |
2 ms |
500 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |