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;
int r, c, m;
bitset<505> dpx[2][505], dpy[2][505], validx[505], validy[505], zero; // row, column
char grid[505][505];
bool isvalid(int i, int j) {
return !(i < 0 || j < 0 || i >= r || j >= c);
}
void solve() {
string s;
cin >> r >> c >> m;
for (int i = 0; i < r; i++) {
for (int j = 0; j < c; j++) {
cin >> grid[i][j];
if (grid[i][j] != '#') {
dpx[0][i][j] = validx[i][j] = 1;
dpy[0][j][i] = validy[j][i] = 1;
}
}
}
cin >> s;
for (int i = 0; i < m; i++) {
for (int x = 0; x < r; x++) {
if (isvalid(x-1, 0) && (s[i] == 'N' || s[i] == '?')) {
dpx[1][x-1] |= dpx[0][x];
}
if (isvalid(x+1, 0) && (s[i] == 'S' || s[i] == '?')) {
dpx[1][x+1] |= dpx[0][x];
}
if (isvalid(0, 0) && (s[i] == 'W' || s[i] == '?')) {
dpx[1][x] |= (dpx[0][x]>>1);
}
if (isvalid(0, 0) && (s[i] == 'E' || s[i] == '?')) {
dpx[1][x] |= (dpx[0][x]<<1);
}
}
for (int y = 0; y < c; y++) {
if (isvalid(0, 0) && (s[i] == 'N' || s[i] == '?')) {
dpy[1][y] |= (dpy[0][y]>>1);
}
if (isvalid(0, 0) && (s[i] == 'S' || s[i] == '?')) {
dpy[1][y] |= (dpy[0][y]<<1);
}
if (isvalid(0, y-1) && (s[i] == 'W' || s[i] == '?')) {
dpy[1][y-1] |= dpy[0][y];
}
if (isvalid(0, y+1) && (s[i] == 'E' || s[i] == '?')) {
dpy[1][y+1] |= dpy[0][y];
}
}
for (int x = 0; x < r; x++) {
dpx[1][x] &= validx[x];
dpx[0][x] = dpx[1][x];
dpx[1][x] &= zero;
}
for (int y = 0; y < c; y++) {
dpy[1][y] &= validy[y];
dpy[0][y] = dpy[1][y];
dpy[1][y] &= zero;
}
}
int ans = 0;
for (int x = 0; x < r; x++) {
for (int y = 0; y < c; y++) {
if (dpx[0][x][y] || dpy[0][y][x]) {
ans++;
}
}
}
cout << ans << endl;
}
int32_t main() {
ios::sync_with_stdio(0);
cin.tie(0);
int t;
t = 1;
while(t--) {
solve();
}
}
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