This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Challenge: Accepted
#include <iostream>
#include <algorithm>
#include <vector>
#include <utility>
#include <queue>
using namespace std;
void debug(){cout << endl;}
template<class T, class ...U> void debug(T a, U ... b){cout << a << " ", debug(b...);}
template<class T> void pary (T l, T r) {
while (l != r) cout << *l << " ", l++;
cout << endl;
}
#define ll long long
#define maxn 805
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
const int inf = 1<<30;
bool poss[maxn][maxn][16];
bool done[maxn][maxn], vis[maxn][maxn], col[maxn][maxn], inq[maxn][maxn];
int ans[maxn][maxn];
int u[maxn][maxn], ds[100005], dt[100005];
int dir[4][2] = {{-1, 0}, {0, 1}, {1, 0}, {0, -1}}; // NESW
int r, c;
inline bool in(int x, int y){return x >= 0 && x < r && y >= 0 && y < c;}
bool con(int x, int y) {
int mask = 0;
for (int i = 0;i < 4;i++) {
int dx = x + dir[i][0], dy = y + dir[i][1];
if (in(dx, dy)) mask += col[dx][dy] ? (1<<i) : 0;
}
return poss[x][y][mask];
}
int pnt = 0, lstx = 0, lsty = 0;
vector<pii> ne;
int dfs(int x, int y) {
vis[x][y] = 1;
pnt++;
for (int i = 0;i < 4;i++) {
int dx = x + dir[i][0], dy = y + dir[i][1];
if (!in(dx, dy)) continue;
col[x][y] = 1;
if (con(dx, dy)) {
if (done[dx][dy]) {
ans[x][y] = 1<<30;
done[x][y] = 1;
return 2;
} else if (vis[dx][dy]) {
lstx = dx, lsty = dy;
ne.push_back({x, y});
return 1;
} else {
col[x][y] = 0;
int ret = dfs(dx, dy);
if (ret == 2) {
done[x][y] = 1, ans[x][y] = 1<<30;
return 2;
} else if (ret == 1) {
col[x][y] = 1;
ne.push_back({x, y});
if (x == lstx && y == lsty) {
return 0;
} else {
return 1;
}
} else {
vis[x][y] = 0;
return 0;
}
}
}
}
ans[x][y] = 1;
done[x][y] = 1;
lstx = x, lsty = y;
return 2;
}
int main() {
io
int m;
cin >> m >> r >> c;
string D;
cin >> D;
for (int i = 0;i < m;i++) ds[i] = (D[i] == 'N' ? 0 : (D[i] == 'E' ? 1 : (D[i] == 'S' ? 2 : 3)));
for (int i = 0;i < r;i++) {
for (int j = 0;j < c;j++) cin >> u[i][j];
}
for (int ti = 0;ti < 16;ti++) {
int ma = 0, cur = 0, tot = 0, pref = 0, suf = 0;
for (int i = 0;i < m;i++) {
if (ti & (1<<ds[i])) {
dt[i] = 1;
} else {
ma = max(ma, cur);
cur = 0;
dt[i] = 0;
}
cur += dt[i];
tot += dt[i];
}
if (tot == m) {
ma = 1<<30;
} else {
for (int i = 0;i < m;i++) {
if (!dt[i]) {
pref = i;
break;
}
}
for (int i = m - 1;i >= 0;i--) {
if (!dt[i]) {
suf = m - 1 - i;
break;
}
}
ma = max(ma, pref + suf);
}
//debug(ma);
for (int i = 0;i < r;i++) {
for (int j = 0;j < c;j++) {
poss[i][j][ti] = u[i][j] <= ma;
if (u[i][j] == 0) poss[i][j][ti] = 0;
}
}
}
for (int i = 0;i < r;i++) {
for (int j = 0;j < c;j++) {
if (!u[i][j]) continue;
if (!done[i][j]) {
queue<pii> que;
vector<pii> comp;
que.push({i, j});
comp.push_back({i, j});
bool f = 0;
while (que.size()) {
pii cur = que.front();que.pop();
inq[cur.ff][cur.ss] = 0;
/*
for (auto p:comp) {
cout << p.ff << "," << p.ss << " ";
}
cout << endl;
*/
ne.clear();
int val = dfs(cur.ff, cur.ss);
/*
debug(cur.ff, cur.ss, val);
for (auto p:ne) {
cout << p.ff << "," << p.ss << " ";
}
cout << endl;
debug();
*/
if (val != 2) {
if (val == 0) {
for (auto p:comp) col[p.ff][p.ss] = 0;
comp = ne;
} else {
comp.insert(comp.end(), ne.begin(), ne.end());
}
for (auto p:ne) {
for (int k = 0;k < 4;k++) {
int dx = p.ff + dir[k][0], dy = p.ss + dir[k][1];
if (!in(dx, dy)) continue;
if (!col[dx][dy] && con(dx, dy) && !inq[dx][dy]) {
que.push({dx, dy});
inq[dx][dy] = 1;
}
}
}
} else {
f = 1;
for (auto p:comp) {
done[p.ff][p.ss] = 1;
ans[p.ff][p.ss] = inf;
}
while (que.size()) {
pii p = que.front();que.pop();
done[p.ff][p.ss] = 1;
ans[p.ff][p.ss] = inf;
}
break;
}
}
if (f) continue;
int siz = comp.size();
//debug(7122, i, j, siz);
for (auto p:comp) {
ans[p.ff][p.ss] = siz;
done[p.ff][p.ss] = 1;
}
}
}
}
int out = 1<<30, outn = 0;
for (int i = 0;i < r;i++) {
for (int j = 0;j < c;j++) {
if (u[i][j]) {
//debug(i, j, lef[i][j], rig[i][j]);
if (ans[i][j] < out) out = ans[i][j], outn = 1;
else if (ans[i][j] == out) outn++;
}
}
}
cout << out << "\n" << outn << "\n";
}
/*
7 3 4
EEEWWWE
1 1 0 1
1 0 1 3
1 1 1 1
*/
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