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 a, b, m;
vector<vector<bool> > grid;
string s;
bool valid(int x, int y) {
// cout << "! " << x << ' ' << y << endl;
if (x < 0 || y < 0) return false;
if (x >= a || y >= b) return false;
return grid[x][y];
}
int dx[4] = {-1, 0, 1, 0};
int dy[4] = {0, -1, 0, 1};
const int MXN = 105, MXM = 105;
bool done[MXN][MXN][MXM];
bool dp[MXN][MXN][MXM];
bool works(int x, int y, int at) {
if (!valid(x, y)) return false;
if (at == m) return true;
if (done[x][y][at]) return dp[x][y][at];
done[x][y][at] = true;
if (s[at] == '?') {
for (int i=0; i<4; i++) {
if (works(x + dx[i], y + dy[i], at+1)) return dp[x][y][at] = true;
}
return dp[x][y][at] = false;
}
if (s[at] == 'N') {
return dp[x][y][at] = works(x-1, y, at+1);
}
if (s[at] == 'S') {
return dp[x][y][at] = works(x+1, y, at+1);
}
if (s[at] == 'E') {
return dp[x][y][at] = works(x, y+1, at+1);
}
if (s[at] == 'W') {
return dp[x][y][at] = works(x, y-1, at+1);
}
return dp[x][y][at] = false;
}
char op(char a) {
if (a == 'N') return 'S';
if (a == 'S') return 'N';
if (a == 'E') return 'W';
if (a == 'W') return 'E';
return a;
}
int main() {
cin >> a >> b >> m;
for (int i=0; i<a; i++) {
string s;
cin >> s;
vector<bool> tr(b);
for (int j=0; j<b; j++) {
tr[j] = (s[j] == '.');
}
grid.push_back(tr);
}
cin >> s;
string t = "";
for (int i=0; i<m; i++) {
t += op(s[i]);
}
s = t;
reverse(s.begin(), s.end());
int can = 0;
for (int i=0; i<a; i++) {
for (int j=0; j<b; j++) {
if (works(i, j, 0)) {
can++;
// cout << "ok: " << i << ' ' << j << endl;
}
// cout << "----" << endl;
}
}
cout << can << endl;
}
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