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;
#define int long long
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
const int N = 502, M = 5002;
void Solve()
{
int n, m, q;
cin >> n >> m >> q;
bitset<N> a[N];
bitset<N> dp[N][2];
for(int i = 0; i < n; i++)
{
string s;
cin >> s;
for(int j = 0; j < m; j++)
{
a[i][j] = (s[j] == '.') ? 1 : 0;
if(a[i][j] == 1)
{
dp[i][1][j] = 1;
}
}
}
string s;
cin >> s;
for(int i = 0; i < q; i++)
{
int cur = i & 1, prev = cur ^ 1;
for(int j = 0; j < n; j++)
{
if(s[i] == 'N')
{
dp[j][cur] = dp[j + 1][prev] & a[j];
}
else if(s[i] == 'S' && j != 0)
{
dp[j][cur] = dp[j - 1][prev] & a[j];
}
else if(s[i] == 'W')
{
dp[j][cur] = (dp[j][prev] >> 1) & a[j];
}
else if(s[i] == 'E')
{
dp[j][cur] = (dp[j][prev] << 1) & a[j];
}
else
{
if(s[i] == 'S')
{
dp[j][cur].reset();
continue;
}
if(j == 0)
{
dp[j][cur] = ((dp[j + 1][prev]) | (dp[j][prev] >> 1) | (dp[j][prev] << 1)) & a[j];
}
else
{
dp[j][cur] = ((dp[j - 1][prev]) | (dp[j + 1][prev]) | (dp[j][prev] >> 1) | (dp[j][prev] << 1)) & a[j];
}
}
}
// for(int j = 0; j < n; j++)
// {
// for(int k = 0; k < m; k++)
// {
// cout << dp[j][i & 1][k] << " ";
// }
// cout << "\n";
// }
}
int ans = 0;
for(int i = 0; i < n; i++)
{
for(int j = 0; j < m; j++)
{
ans += dp[i][(q - 1) & 1][j];
// cout << dp[i][(q - 1) & 1][j] << " ";
}
// cout << "\n";
}
cout << ans << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
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