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;
const int maxn = 110;
int r, c, m, ans;
int dp[maxn][maxn][maxn], mat[maxn][maxn], mark[maxn][maxn];
int ih[] = {-1, +1, 0, 0};
int jh[] = {0, 0, +1, -1};
string s;
map<char, int> mp;
int solve(int i, int j, int pos){
if(pos == (int)s.size()) return mark[i][j] = 1;
if(dp[i][j][pos] != -1) return dp[i][j][pos];
int tot = 0;
if(s[pos] == '?'){
for(int k=0; k<4; k++){
int newi = i + ih[k], newj = j + jh[k];
if(newi >= 1 and newi <= r and newj >= 1 and newj <= c and mat[newi][newj]){
tot |= solve(newi, newj, pos+1);
}
}
}
else{
int newi = i + ih[mp[s[pos]]], newj = j + jh[mp[s[pos]]];
if(newi >= 1 and newi <= r and newj >= 1 and newj <= c and mat[newi][newj]){
tot |= solve(newi, newj, pos+1);
}
}
return dp[i][j][pos] = tot;
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
cin >> r >> c >> m;
for(int i=1; i<=r; i++){
for(int j=1; j<=c; j++){
char a;
cin >> a;
if(a == '.') mat[i][j] = 1;
}
}
cin >> s;
mp['N'] = 0;
mp['S'] = 1;
mp['E'] = 2;
mp['W'] = 3;
memset(dp, -1, sizeof dp);
int ans = 0;
for(int i=1; i<=r; i++){
for(int j=1; j<=c; j++){
if(mat[i][j]) solve(i, j, 0);
}
}
for(int i=1; i<=r; i++){
for(int j=1; j<=c; j++){
ans += mark[i][j];
}
}
cout << ans << "\n";
return 0;
}
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