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 i64 = long long;
constexpr int N = 501, K = 5001;
char g[N][N];
std::bitset<N> dp[K][N];
std::bitset<N> a[N];
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n, m, k;
std::cin >> n >> m >> k;
memset(g, '#', sizeof g);
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
std::cin >> g[i][j];
a[i][j] = (g[i][j] == '.');
}
}
std::string s;
std::cin >> s;
int ans = 0;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
dp[0][i][j] = (g[i][j] == '.');
}
}
for (int K = 1; K <= k; K++) {
for (int i = 1; i <= n; i++) {
int x = 0, y = 0;
if (s[K - 1] == 'N') x++;
else if (s[K - 1] == 'S') x--;
else if (s[K - 1] == 'W') y++;
else if (s[K - 1] == 'E') y--;
else {
dp[K][i] = dp[K][i] | dp[K - 1][i - 1];
dp[K][i] = dp[K][i] | (dp[K - 1][i] << 1);
dp[K][i] = dp[K][i] | dp[K - 1][i + 1];
dp[K][i] = dp[K][i] | (dp[K - 1][i] >> 1);
dp[K][i] &= a[i];
continue;
}
if (x) dp[K][i] = a[i] & dp[K - 1][i + x];
else if (y == -1) {
dp[K][i] = a[i] & (dp[K - 1][i] << 1);
} else if (y == 1) {
dp[K][i] = a[i] & (dp[K - 1][i] >> 1);
} else assert(false);
}
// for (int i = 1; i <= n; i++) {
// for (int j = 1; j <= m; j++) {
// std::cout << dp[K][i][j];
// }
// std::cout << "\n";
// }
// std::cout << "\n";
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
ans += dp[k][i][j];
}
}
std::cout << ans << "\n";
return 0;
}
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