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;
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++){
for(int k = 0; k <= M; k++) dp[i][j][k] = 0;
}
}
for(int k = 0; k <= M; k++){
for(int i = 0; i < R; i++){
for(int j = 0; j < C; j++){
if(mp[i][j] == '#') continue;
if(k == 0){
if(S[k] == 'W')
dp[i][j][k] = j-1 >= 0 && mp[i][j-1] != '#';
if(S[k] == 'E')
dp[i][j][k] = j+1 < C && mp[i][j+1] != '#';
if(S[k] == 'S')
dp[i][j][k] = i+1 < R && mp[i+1][j] != '#';
if(S[k] == 'N')
dp[i][j][k] = i-1 >= 0 && mp[i-1][j] != '#';
if(S[k] == '?'){
for(int d = 0; d < 4; d++){
int ni = i+dirs[d][0];
int nj = j+dirs[d][1];
if(ni < 0 || ni >= R || nj < 0 || nj >= C || mp[ni][nj] == '#') continue;
dp[i][j][k] |= 1;
}
}
continue;
}
if(S[k-1] == 'W')
dp[i][j][k] = j+1 < C && mp[i][j+1] != '#' && dp[i][j+1][k-1];
if(S[k-1] == 'E')
dp[i][j][k] = j-1 >= 0 && mp[i][j-1] != '#' && dp[i][j-1][k-1];
if(S[k-1] == 'S')
dp[i][j][k] = i-1 >= 0 && mp[i-1][j] != '#' && dp[i-1][j][k-1];
if(S[k-1] == 'N')
dp[i][j][k] = i+1 < R && mp[i+1][j] != '#' && dp[i+1][j][k-1];
if(S[k-1] == '?'){
for(int d = 0; d < 4; d++){
int ni = i+dirs[d][0];
int nj = j+dirs[d][1];
if(ni < 0 || ni >= R || nj < 0 || nj >= C || mp[ni][nj] == '#') continue;
dp[i][j][k] |= dp[ni][nj][k-1];
}
}
}
}
}
for(int i = 0; i < R; i++){
for(int j = 0; j < C; j++){
if(dp[i][j][M] == 1){
ans++;
}
}
}
cout<<ans<<endl;
}
int main(){
solve();
return 0;
}
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