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;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> ii;
typedef pair<ld,ld> id;
#define FOR(i, a, b) for(int i=(a); i<=(b); i++)
#define ROF(i, a, b) for(int i=(a); i>=(b); i--)
#define MEM(x, v) memset(x, v, sizeof(x))
#define FILL(x, n, v) fill(x, x+n, v)
#define SORT(x) sort((x).begin(), (x).end())
#define CMPSORT(x, cp) sort((x).begin(), (x).end(), cp)
#define FAST ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define f first
#define s second
#define ins insert
#define e emplace
#define eb emplace_back
#define ef emplace_front
#define p push
#define pf push_front
#define pb push_back
#define mp make_pair
#define ub upper_bound
#define lb lower_bound
#define ft front
#define bk back
#define pp pop
#define ppb pop_back
#define ppf pop_front
#define db cout<<"YEET\n";
#define ct(x) cout<<x<<'\n';
const ll MOD = 1e9+7; //998244353
const ll MX = 5e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
int main(){
FAST
ll r, c, m;
string dirs;
cin >> r >> c >> m;
char grid[505][505];
FOR(i,1,r){
FOR(j,1,c){
cin >> grid[i][j];
}
}
cin >> dirs;
set<ll> checked[505][505];
queue<tuple<ll,ll,ll> > bfs; //r, c, id
ll cnt=0;
ll y[4] = {-1, 0, 1, 0}, x[4] = {0, 1, 0, -1}; //nesw
FOR(i,1,r){
FOR(j,1,c){
if (grid[i][j]=='#') continue;
bfs.e(i,j,0);
while (!bfs.empty()){
ll row, col, idx;
tie(row, col, idx) = bfs.ft();
bfs.pp();
if (checked[row][col].count(idx)) continue;
else checked[row][col].ins(idx);
if (idx == m) {
cnt++;
continue;
}
if (dirs[idx] == 'N'){
row--;
if (!row || grid[row][col]=='#') continue;
bfs.e(row,col,idx+1);
}
if (dirs[idx] == 'E'){
col++;
if (col>c || grid[row][col]=='#') continue;
bfs.e(row,col,idx+1);
}
if (dirs[idx] == 'S'){
row++;
if (row>r || grid[row][col]=='#') continue;
bfs.e(row,col,idx+1);
}
if (dirs[idx] == 'W'){
col--;
if (!col || grid[row][col]=='#') continue;
bfs.e(row,col,idx+1);
}
if (dirs[idx] == '?'){
FOR(k,0,3){
ll newrow = row+y[k];
ll newcol = col+x[k];
if (newrow == 0 || newrow > r || newcol == 0 || newcol > c) continue;
if (grid[newrow][newcol]=='#') continue;
bfs.e(newrow, newcol, idx+1);
}
}
}
}
}
cout << cnt;
}
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