This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #define _GLIBCXX_DEBUG
// #pragma GCC optimize "trapv"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <chrono>
// #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
// pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
using namespace std;
using namespace __gnu_pbds;
using namespace chrono;
#define pb push_back
#define f first
#define s second
#define min3(a, b, c) min(min(a, b), c)
#define max3(a, b, c) max(max(a, b), c)
#define all(v) v.begin(), v.end()
typedef long long ll;
typedef double ld;
typedef long double lld;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
template <class T> using ordered_set = tree <T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;
const int INF = 1e9;
// const ll INF = 1e18;
const ll mod = 1000000007;
// const ll mod = 998244353;
void solve(int tc){
int r, c, m;
cin >> r >> c >> m;
vector<string> mat(r);
for(int i = 0; i < r; i++)
cin >> mat[i];
// vector<vector<bool>> grid(r, vector<bool>(c));
vector<bitset<501>> grid(r);
for(int i = 0; i < r; i++)
for(int j = 0; j < c; j++)
grid[i][j] = (mat[i][j] == '.' ? 1 : 0);
string s;
cin >> s;
vector<bitset<501>> dp[2];
// cout << 'x' << '\n';
dp[0].resize(r), dp[1].resize(r);
for(int row = 0; row < r; row++)
dp[0][row] = grid[row];
for(int i = 0; i < m; i++){
if(s[i] == 'N')
for(int row = 1; row < r; row++)
dp[(i+1)%2][row-1] = (dp[i%2][row]&grid[row-1]&grid[row]);
if(s[i] == 'W')
for(int row = 0; row < r; row++)
dp[(i+1)%2][row] = ((dp[i%2][row] >>1)&grid[row]);
if(s[i] == 'E')
for(int row = 0; row < r; row++)
dp[(i+1)%2][row] = ((dp[i%2][row] << 1)&grid[row]);
if(s[i] == 'S')
for(int row = 0; row < r-1; row++)
dp[(i+1)%2][row+1] = (dp[i%2][row]&grid[row+1]&grid[row]);
if(s[i] == '?'){
for(int row = 1; row < r; row++)
dp[(i+1)%2][row-1] |= (dp[i%2][row]&grid[row-1]&grid[row]);
for(int row = 0; row < r; row++)
dp[(i+1)%2][row] |= ((dp[i%2][row] << 1)&grid[row]);
for(int row = 0; row < r; row++)
dp[(i+1)%2][row] |= ((dp[i%2][row] >> 1)&grid[row]);
for(int row = 0; row < r-1; row++)
dp[(i+1)%2][row+1] |= (dp[i%2][row]&grid[row+1]&grid[row]);
}
for(int row = 0; row < r; row++)
dp[i&1][row] = bitset<501>(0);
}
int ans = 0;
for(int i = 0; i < r; i++)
ans += dp[m%2][i].count();
cout << ans << '\n';
}
int main(){
// ios_base::sync_with_stdio(NULL);
// cin.tie(NULL);
#ifdef LOCAL
auto begin = high_resolution_clock::now();
#endif
int tc = 1;
// cin >> tc;
for (int t = 0; t < tc; t++) solve(t);
#ifdef LOCAL
auto end = high_resolution_clock::now();
cout << fixed << setprecision(4) << "Execution Time: " << duration_cast<duration<double>>(end - begin).count() << "seconds" << endl;
#endif
return 0;
}
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