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 <iostream>
#include <vector>
#include <cmath>
#include <set>
#include <queue>
using namespace std;
const int N = 550, INF = 1e9 + 10;
char a[N][N];
int vertex[N][N];
char dir[4] = { 'N', 'E', 'S', 'W' };
int dx[4] = { -1, 0, 1, 0 };
int dy[4] = { 0, 1, 0, -1 };
int n, m;
bool ch(int x, int y) {
if (x >= 1 && x <= n && y >= 1 && y <= m) return true;
return false;
}
vector <vector<pair<int, int>>> G;
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> n >> m;
G.resize(4 * n * m + 1);
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
cin >> a[i][j];
vertex[i][j] = (i - 1) * m + j;
}
}
int sz = n * m;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
if (a[i][j] == 'X') continue;
int ind = 0;
for (int k = 0; k < 4; k++) {
if (a[i][j] == dir[k]) {
ind = k;
break;
}
}
if (ch(i + dx[ind], j + dy[ind])) {
G[vertex[i][j]].push_back({ vertex[i + dx[ind]][j + dy[ind]], 0 });
}
int cost = 1, prev = vertex[i][j];
ind = (ind + 1) % 4;
while (cost != 4) {
G[prev].push_back({ ++sz, 1 }); prev = sz;
if (ch(i + dx[ind], j + dy[ind])) {
G[sz].push_back({ vertex[i + dx[ind]][j + dy[ind]], 0 });
}
cost++;
ind = (ind + 1) % 4;
}
}
}
vector <int> d(4 * n * m + 1, INF);
d[1] = 0;
deque <int> q;
q.push_back(1);
while (!q.empty()) {
int v = q.front(); q.pop_front();
if (v == n * m) {
cout << d[v] << "\n";
return 0;
}
for (auto it : G[v]) {
if (d[it.first] > d[v] + it.second) {
d[it.first] = d[v] + it.second;
if (it.second == 0) {
q.push_front(it.first);
}
else {
q.push_back(it.first);
}
}
}
}
cout << -1 << "\n";
}
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