This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define LL long long
#define MP(a,b) make_pair(a,b)
#define MOD 1000000007
int N;
string S[3];
int st[3][2000];
LL wa[2000];
int c = 0;
LL dp[1<<16] = {};
LL solve(int now){
if(now == (1<<c)-1) return 1;
if(dp[now] != 0) return dp[now];
LL re = 0;
if(st[1][0] == 0 && (now>>0)%2 == 0) re += solve(now+(1<<0));
for(int i=1; i<N-1; i++){
if( st[0][i] != -1 && (now>>st[0][i])%2 == 0 && (st[0][i-1] == -1 || (now>>st[0][i-1])%2 == 1) && (st[0][i+1] == -1 || (now>>st[0][i+1])%2 == 1) )
re += solve(now+(1<<st[0][i]));
if( st[2][i] != -1 && (now>>st[2][i])%2 == 0 && (st[2][i-1] == -1 || (now>>st[2][i-1])%2 == 1) && (st[2][i+1] == -1 || (now>>st[2][i+1])%2 == 1) )
re += solve(now+(1<<st[2][i]));
if( st[1][i] != -1 && (now>>st[1][i])%2 == 0 && (st[1][i-1] == -1 || (now>>st[1][i-1])%2 == 1) && (st[1][i+1] == -1 || (now>>st[1][i+1])%2 == 1) )
re += solve(now+(1<<st[1][i]));
else if( st[1][i] != -1 && (now>>st[1][i])%2 == 0 && (st[0][i] == -1 || (now>>st[0][i])%2 == 1) && (st[2][i] == -1 || (now>>st[2][i])%2 == 1) )
re += solve(now+(1<<st[1][i]));
}
if(st[1][N-1] == c-1 && (now>>(c-1))%2 == 0) re += solve(now+(1<<(c-1)));
return dp[now] = re % MOD;
}
int main(){
cin >> N >> S[0] >> S[1] >> S[2];
if(S[0][0] == 'x' || S[0][N-1] == 'x' || S[2][0] == 'x' || S[2][N-1] == 'x'){
cout << 0 << endl;
return 0;
}
for(int i=0; i<N-1; i++){
if(S[0][i] == 'x' && S[0][i+1] == 'x'){
cout << 0 << endl;
return 0;
}
if(S[2][i] == 'x' && S[2][i+1] == 'x'){
cout << 0 << endl;
return 0;
}
}
for(int i=0; i<N; i++){
if(S[0][i] == 'o') st[0][i] = -1;
else{ st[0][i] = c; c++; }
if(S[1][i] == 'o') st[1][i] = -1;
else{ st[1][i] = c; c++; }
if(S[2][i] == 'o') st[2][i] = -1;
else{ st[2][i] = c; c++; }
}
if(c > 16) return -1;
cout << solve(0) << endl;
return 0;
}
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