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;
#define ll long long
int R, C, M;
vector<string> mp;
string S;
int dirs[4][2] = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}};
int dp[101][101][102];
bool vis[101][101][101];
int ans = 0;
int si, sj;
int solver(int i, int j, int k){
if(k == M){
dp[i][j][k] = 1;
return 1;
}
if(dp[i][j][k] == 1) return 1;
if(vis[i][j][k] == 1) return 0;
vis[i][j][k] = true;
// if(dp[i][j][k] == 0) return 0;
int ni = i;
int nj = j;
if(S[k] == 'W'){
nj--;
if(ni < 0 || ni >= R || nj < 0 || nj >= C || mp[ni][nj] == '#') return 0;
if(solver(ni, nj, k+1)) dp[i][j][k] = 1;
}else if(S[k] == 'E'){
nj++;
if(ni < 0 || ni >= R || nj < 0 || nj >= C || mp[ni][nj] == '#') return 0;
if(solver(ni, nj, k+1)) dp[i][j][k] = 1;
}else if(S[k] == 'S'){
ni++;
if(ni < 0 || ni >= R || nj < 0 || nj >= C || mp[ni][nj] == '#') return 0;
if(solver(ni, nj, k+1)) dp[i][j][k] = 1;
}else if(S[k] == 'N'){
ni--;
if(ni < 0 || ni >= R || nj < 0 || nj >= C || mp[ni][nj] == '#') return 0;
if(solver(ni, nj, k+1)) dp[i][j][k] = 1;
}else{
for(int d = 0; d < 4; d++){
ni = i+dirs[d][0];
nj = j+dirs[d][1];
if(ni < 0 || ni >= R || nj < 0 || nj >= C || mp[ni][nj] == '#') continue;
if(solver(ni, nj, k+1))
dp[i][j][k] = 1;
}
}
// cout<<si<<" "<<sj<<" "<<" "<<i<<" "<<j<<" "<<dp[i][j][k]<<endl;
return dp[i][j][k];
}
void solve(){
cin>>R>>C>>M;
mp.assign(R, "");
for(string &s:mp) cin>>s;
cin>>S;
for(int i = 0; i < R; i++){
for(int j = 0; j < C; j++){
if(mp[i][j] == '#') continue;
si = i;
sj = j;
solver(i, j, 0);
}
}
for(int i = 0; i < R; i++){
for(int j = 0; j < C; j++){
for(int k = 0; k < M+1; k++){
if(dp[i][j][k]){
ans++;
break;
}
}
}
}
cout<<ans<<endl;
}
int main(){
solve();
return 0;
}
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