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 <iostream>
#include <vector>
#include <map>
#include <bitset>
#define N 500
using namespace std;
int n, m, len;
string s;
bool check(int i, int j) {
if(i > -1 && j > -1 && i < n && j < m) return true;
return false;
}
int main() {
cin >> n >> m >> len;
vector<bitset<N>> a(n, bitset<N>());
for(int i = 0; i < n; i++) {
cin >> s;
for(int j = 0; j < m; j++) {
if(s[j] == '.') a[i][j] = 1;
}
}
cin >> s;
//dp
vector<vector<bitset<N>>> dp(len+1, vector<bitset<N>>(n, bitset<N>()));
//base case
for(int i = 0; i < n; i++) dp[0][i] = a[i];
//transition
for(int k = 1; k <= len; k++) {
for(int i = 0; i < n; i++) {
if((s[k-1] == 'N' || s[k-1] == '?') && i < n-1) dp[k][i] |= dp[k-1][i+1];
if(s[k-1] == 'E' || s[k-1] == '?') {
dp[k][i] |= (dp[k-1][i]<<1);
}
if((s[k-1] == 'S' || s[k-1] == '?') && i > 0) dp[k][i] |= dp[k-1][i-1];
if(s[k-1] == 'W' || s[k-1] == '?') dp[k][i] |= (dp[k-1][i]>>1);
dp[k][i] &= a[i];
}
}
//final state
int res = 0;
for(int i = 0; i < n; i++) {
for(int j = 0; j < m; j++) res += dp[len][i][j];
}
cout << res << "\n";
}
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