This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize ("O3,unroll-loops,Ofast")
#pragma GCC target ("avx2,bmi,bmi2,popcnt")
#include <bits/stdc++.h>
#define F first
#define pb push_back
#define sz size()
#define S second
using namespace std;
typedef long long int ll;
const int N = 505, M = 5005;
int r,c,m;
string wef,s[N];
bitset<N> dp[M][N], row[N]; // dp[m][r][c]
inline void init(){
}
inline void input(){
cin >> r >> c >> m;
for(int i=0;i<r;i++)
cin >> s[i];
cin >> wef;
}
inline void solve(){
for(int i=0;i<r;i++){
for(int j=0;j<c;j++){
if(s[i][j] == '.'){
dp[0][i][j] = 1;
row[i][j] = 1;
}
}
}
for(int i=1;i<=m;i++){
for(int y=0;y<r;y++){
if((wef[i-1] == 'N' || wef[i-1] == '?') && y < r-1)
dp[i][y] = (dp[i][y] | (row[y] & row[y+1] & dp[i-1][y+1]));
if((wef[i-1] == 'S' || wef[i-1] == '?') && y > 0)
dp[i][y] = (dp[i][y] | (row[y] & row[y-1] & dp[i-1][y-1]));
if(wef[i-1] == 'W' || wef[i-1] == '?')
dp[i][y] = (dp[i][y] | (row[y] & (row[y] >> 1) & (dp[i-1][y] >> 1)));
if(wef[i-1] == 'E' || wef[i-1] == '?')
dp[i][y] = (dp[i][y] | (row[y] & (row[y] << 1) & (dp[i-1][y] << 1)));
}
}
/* for(int i=0;i<r;i++){
for(int j=0;j<c;j++)
cout << row[i][j];
cout << endl;
}
cout << endl;
int cnt = 0;
for(int i=0;i<r;i++){
for(int j=0;j<c;j++)
cout << dp[1][i][j];
cout << endl;
}*/
int cnt = 0;
for(int i=0;i<r;i++)
for(int j=0;j<c;j++)
cnt += dp[m][i][j];
cout << cnt;
}
int main(){
ios:: sync_with_stdio(0), cin.tie(0), cout.tie(0);
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
init();
int queries = 1;
// cin >> queries;
while(queries--){
input();
solve();
}
return 0;
}
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