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 unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
const int N = 500;
int main(void){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
clock_t start = clock();
int n, m, k; cin >> n >> m >> k;
vector<string> s(n);
for(int i = 0; i<n; ++i) cin >> s[i];
bitset<N * N> mask, dp, aux, nxt;
#define tile(u, v) ((u) * m + (v))
for(int i = 0; i<n; ++i) for(int j = 0; j < m; ++j) if (s[i][j] == '.')
mask[tile(i, j)] = dp[tile(i, j)] = 1;
string ins; cin >> ins;
for(char c: ins){
if (c == 'S'){
dp = (dp << m) & mask;
}
else if (c == 'N'){
dp = (dp >> m) & mask;
}
else if (c == 'W'){
for(int i = 0; i < n; ++i) dp[tile(i, 0)] = 0;
dp = (dp >> 1) & mask;
}
else if (c == 'E'){
for(int i = 0; i < n; ++i) dp[tile(i, m-1)] = 0;
dp = (dp << 1) & mask;
}
else{
aux = dp;
nxt = (aux >> m) | (aux << m);
for(int i = 0; i < n; ++i) aux[tile(i, 0)] = 0;
nxt = nxt | (aux >> 1);
aux = dp;
for(int i = 0; i < n; ++i) aux[tile(i, m-1)] = 0;
nxt = nxt | (aux << 1);
dp = nxt & mask;
}
}
cout << dp.count() << "\n";
cerr << "Time elapsed: " << clock() - start << " ms\n";
return 0;
}
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