#include <bits/stdc++.h>
using namespace std;
#define TASK "long"
#define fi first
#define se second
#define ll long long
#define pb push_back
#define ALL(x) (x).begin(), (x).end()
#define GETBIT(mask, i) ((mask) >> (i) & 1)
#define MASK(i) ((1LL) << (i))
#define SZ(x) ((int)(x).size())
#define mp make_pair
#define CNTBIT(mask) __builtin_popcount(mask)
template<class X, class Y> bool maximize(X &x, Y y){ if (x < y) {x = y; return true;} return false;};
template<class X, class Y> bool minimize(X &x, Y y){ if (x > y) {x = y; return true;} return false;};
typedef pair<int, int> ii;
const int N = 500 + 5;
const int inf = 1e9 + 7;
const long long INF = (long long)1e18 + 7;
const int mod = 1e9 + 7;
void add(int &x, int y) {x += y; if (x >= mod) x -= mod;}
void sub(int &x, int y) {x -= y; if (x < 0) x += mod;}
int mul(int x, int y) {return 1LL * x * y % mod;}
int dx[] = {1, -1, 0, 0};
int dy[] = {0, 0, 1, -1};
int direction(char c) {
if (c == 'S') return 0;
if (c == 'N') return 1;
if (c == 'E') return 2;
return 3;
}
// -----------------------------------------//
int n, m, len;
int a[N][N];
string s;
void read() {
cin >> n >> m >> len;
for(int i = 0; i < n; i++) {
for(int j = 0; j < m; j++) {
char c; cin >> c;
a[i][j] = (c == '.');
}
}
cin >> s;
}
int f1[105][105][105];
bool used[105][105];
bool dfs(int x, int y, int i) {
// if (x < 0) x += n;
// if (x >= n) x -= n;
// if (y < 0) y += m;
// if (y >= m) y -= m;
if (x >= n || y >= m || x < 0 || y < 0 || !a[x][y]) return 0;
if (!a[x][y]) return 0;
// if (i == 5) cerr << x << ' ' << y << endl;
if (f1[x][y][i] != -1) return f1[x][y][i];
// cerr << x << ' ' << y << ' ' << i << endl;
if (i >= len) {
f1[x][y][len] = 1;
// used[x][y] = 1;
return 1;
}
int &res = f1[x][y][i];
res = 0;
if (s[i] != '?') res = dfs(x + dx[direction(s[i])], y + dy[direction(s[i])], i + 1);
else {
for(int dir = 0; dir < 4; dir++) {
if (dfs(x + dx[dir], y + dy[dir], i + 1)) {
res = 1;
// break;
}
}
}
// if (res) used[x][y] = 1;
return res;
}
void sub1() {
memset(f1, -1, sizeof(f1));
int ans = 0;
for(int i = 0; i < n; i++) {
for(int j = 0; j < m; j++) {
if (a[i][j]) {
dfs(i, j, 0);
// if (dfs(i, j, 0)) cerr << i << ' ' << j << endl;
}
}
}
ans = 0;
for(int i = 0; i < n; i++) {
for(int j = 0; j < m; j++) if (f1[i][j][len] == 1) ++ans;
}
cout << ans;
}
bitset<N> dp[2][N], can[N];
void lastsub() {
for(int i = 0; i < n; i++) {
for(int j = 0; j < m; j++) {
if (a[i][j]) dp[0][i][j] = can[i][j] = 1;
}
}
// for(int i = 0; i < n; i++) {
// for(int j = 0; j < m; j++) cout << dp[0][i][j];
// cout << endl;
// }
// cout << endl;
bitset<N> tmp;
for(int j = 0; j < len; j++) {
swap(dp[0], dp[1]);
for(int i = 0; i < n; i++) dp[0][i].reset();
for(int i = 0; i < n; i++) {
if (s[j] == 'W' || s[j] == '?') {
tmp = dp[1][i] >> 1;
dp[0][i] |= (tmp & can[i]);
}
if (s[j] == 'E' || s[j] == '?') {
tmp = dp[1][i] << 1;
dp[0][i] |= (tmp & can[i]);
}
if ((s[j] == 'N' || s[j] == '?') && (i + 1 < n)) {
dp[0][i] |= (dp[1][i + 1] & can[i]);
}
if ((s[j] == 'S' || s[j] == '?') && (i > 0)) {
dp[0][i] |= (dp[1][i - 1] & can[i]);
}
}
// for(int i = 0; i < n; i++) {
// for(int j = 0; j < m; j++) cout << dp[0][i][j];
// cout << endl;
// }
// cout << endl;
}
int ans = 0;
for(int i = 0; i < n; i++) ans += dp[0][i].count();
cout << ans;
}
void solve() {
lastsub(); return;
if (max({n, m, len}) <= 100) sub1();
else lastsub();
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(TASK".inp", "r")) {
freopen(TASK".inp", "r", stdin);
freopen(TASK".out", "w", stdout);
}
int test = 1;
// cin >> test;
while(test--) {
read();
solve();
}
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
nautilus.cpp: In function 'int main()':
nautilus.cpp:145:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
145 | freopen(TASK".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
nautilus.cpp:146:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
146 | freopen(TASK".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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