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("Ofast,unroll-loops")
#pragma GCC target("avx2,bmi2,popcnt,lzcnt")
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
#include <cstring>
#include <bitset>
int x, y, p;
char arr[505][505];
char moves[5005];
std::bitset<505> dp[2][505];
std::bitset<505> row[505];
void solve_dp() {
for (int i = 0; i < x; i++) {
dp[0][i] = row[i];
}
for (int pos = 1; pos <= p; pos++) {
int curr = pos&1;
int last = (pos-1)&1;
for (int i = 0; i < x; i++) {
dp[curr][i].reset();
switch (moves[pos-1]) {
case 'N':
dp[curr][i] = dp[last][i+1] & row[i];
break;
case 'S':
dp[curr][i] = dp[last][i-1] & row[i];
break;
case 'E':
dp[curr][i] = (dp[last][i]<<1) & row[i];
break;
case 'W':
dp[curr][i] = (dp[last][i]>>1) & row[i];
break;
default:
dp[curr][i] |= dp[last][i+1];
dp[curr][i] |= dp[last][i-1];
dp[curr][i] |= (dp[last][i]<<1);
dp[curr][i] |= (dp[last][i]>>1);
dp[curr][i] &= row[i];
break;
}
}
}
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
std::cout.tie(NULL);
std::cin >> x >> y >> p;
for (int i = 0; i < x; i++) {
std::cin >> arr[i];
for (int j = 0; j < y; j++) {
row[i][j] = ((arr[i][j]=='.') ? 1 : 0);
}
}
std::cin >> moves;
solve_dp();
int ret = 0;
for (int i = 0; i < x; i++) {
ret += dp[p&1][i].count();
}
std::cout << ret << "\n";
}
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