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>
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
using namespace std;
#pragma GCC optimize ("unroll-loops,Ofast,O3")
#pragma GCC target("avx,avx2,fma")
#define F first
#define int short
#define S second
#define sz(x) (int)x.size()
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define NFS ios_base::sync_with_stdio(0) , cin.tie(0) , cout.tie(0) ;
#define file(s) if (fopen(s".in", "r")) freopen(s".in", "r", stdin), freopen(s".out", "w", stdout)
//#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
typedef long long ll;
const int N = 5555;
const bool I = 1;
const vector<pair<int,int>> dxy = {{-1,0},{1,0},{0,1},{0,-1}};
int n, m, k, q[5555];
char a[555][555];
bool vis[555][555];
bool used[555][555][555];
bool In(int x, int y){
return (x <= n && x >= 1 && y <= m && y >= 1);
}
bool bfs(int x, int y, int d = k){
queue<tuple<int,int,int>> que;
que.push({x, y, d});
while(!que.empty()){
tie(x, y, d) = que.front();
que.pop();
if(used[x][y][d]){
continue;
}
used[x][y][d] = true;
if(!d){
return true;
}
if(q[d] == -1){
for(auto [f, s] : dxy){
int x1 = x + f, y1 = y + s;
if(In(x1, y1) && !used[x1][y1][d-1] && a[x1][y1] != '#'){
que.push({x1, y1, d-1});
used[x1][y1][d-1] = true;
}
}
}else{
int x1 = x + dxy[q[d]].F, y1 = y + dxy[q[d]].S;
if(In(x1, y1) && a[x1][y1] != '#'&& !used[x1][y1][d-1] ){
que.push({x1, y1, d-1});
used[x1][y1][d-1] = true;
}
}
}
return false;
}
signed main(){
cin >> n >> m >> k;
for(int i = 1; i <= n; ++i){
for(int j = 1; j <= m; ++j){
cin >> a[i][j];
}
}
for(int i = 1; i <= k; ++i){
char r; cin >> r;
if(r == '?') q[i] = -1;
if(r == 'N') q[i] = 1;
if(r == 'S') q[i] = 0;
if(r == 'E') q[i] = 3;
if(r == 'W') q[i] = 2;
}
long long res = 0;
for(int i = 1; i <= n; ++i)
for(int j = 1; j <= m; ++j){
if(a[i][j] != '#'){
vis[i][j] = bfs(i, j, k);
}
}
for(int i = 1; i <= n; ++i){
for(int j = 1; j <= m; ++j){
if(a[i][j] == '#'){
}else{
res += vis[i][j];
}
}
}
cout << res;
};
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