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 rep(i,a,b) for(int i=a; i<=b; i++)
typedef vector<int> vi;
typedef pair<int, int> pii;
#define pb push_back
#define all(x) x.begin(), x.end()
#define sz(x) (int) x.size()
#define f first
#define s second
#define nl '\n'
const int N=801;
int m, r,c ;
int u[N][N];
int dx[]={1,0,-1,0};
int dy[]={0,-1,0,1};
char dir[]={'S','W','N','E'};
map<char,int> mp={{'S',0},{'W',1},{'N',2},{'E',3}};
string D;
int mx[1<<4];
set<int> adj[N*N];
vi nodes[N*N];
int par[N*N];
bool vis[N*N];
stack<int> st;
bool seen[N*N];
map<pii, bool> have;
bool dead[N*N];
int h(int i, int j){
return c*(i-1)+j;
}
int find(int x){
return par[x]==x?x:par[x]=find(par[x]);
}
void join(int x, int y){
int a=find(x);
int b=find(y);
if(a==b) return;
if(sz(nodes[a])<sz(nodes[b])) swap(a,b);
par[b]=a;
vector<pii> todo;
for(int u:nodes[b]){
have[{a, u}]=1;
int x=(u-1)/c+1, y=(u-1)%c+1;
rep(k,0,3) todo.pb({x+dx[k], y+dy[k]});
nodes[a].pb(u);
}
for(int u:adj[b]) if(find(u)!=a) adj[a].insert(u);
// for(int x:nodes[a]) cout << "have " << a << " " << x << nl;
for(pii p:todo){
int mask=0;
int x=p.f, y=p.s;
if(!x || x>r || !y || y>c || !u[x][y]) continue;
rep(k,0,3){
int nx=x+dx[k], ny=y+dy[k];
if(!nx || nx>r || !ny || ny>c || !u[nx][ny]) continue;
// cout << "reach " << nx << " " << ny << " " << have[{a, h(nx,ny)}] << nl;
if(have[{a, h(nx,ny)}]) mask^=(1<<k);
}
// cout << "try " << x << " " << y << " get " << mask << " vs " << u[x][y] << nl;
if(mx[mask]>=u[x][y]){
// cout << "adj " << a << " add " << h(x,y) << nl;
adj[a].insert(h(x,y));
}
}
}
void dfs(int x){
x=find(x);
vis[x]=seen[x]=1;
st.push(x);
vi g;
for(int u:adj[x]) g.pb(find(u));
sort(all(g));
g.erase(unique(all(g)), g.end());
for(int k:g){
int kk=find(k);
if(kk==x) continue;
if(seen[kk]){
// cout << "cycle " << kk << " ";
while(st.top()!=kk){
join(st.top(), x);
st.pop();
assert(sz(st));
}
// cout << nl;
assert(sz(st));
join(st.top(), x);
st.pop();
x=find(x);
dfs(x);
return;
}
if(vis[kk]){
dead[x]=1;
break;
}
dfs(kk);
if(!sz(st) || st.top()!=x) return;
dead[x]=1;
}
seen[find(x)]=0;
assert(sz(st));
st.pop();
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> m >> r >> c >> D;
rep(i,1,r) rep(j,1,c){
cin >> u[i][j];
nodes[h(i,j)]={h(i,j)};
have[{h(i,j), h(i,j)}]=1;
par[h(i,j)]=h(i,j);
}
for(int mask=0; mask<(1<<4); mask++){
int cur=0;
for(int i=0; i<2*m; i++){
cur++;
if(!(mask&(1<<mp[D[i%m]]))) cur=0;
mx[mask]=max(mx[mask], cur);
}
// cout << "max " << mask << " " << mx[mask] << nl;
}
int cnt=0;
rep(i,1,r){
rep(j,1,c){
if(!u[i][j]) continue;
rep(k,0,3){
int x=i+dx[k], y=j+dy[k];
if(!x || x>r || !y || y>c || !u[x][y]) continue;
if(mx[1<<((k+2)%4)]>=u[x][y]){
// cout << i << "," << j << "-> " << x << "," << y << nl;
adj[h(i,j)].insert(h(x,y));
}
}
if(!sz(adj[h(i,j)])){
// cout << i << j << " bad\n";
cnt++;
}
}
}
if(cnt){
cout << "1\n" << cnt; return 0;
}
rep(i,1,r*c){
if(!u[(i-1)/c+1][(i-1)%c+1]) continue;
if(vis[find(i)]) continue;
assert(find(i)==i);
dfs(i);
}
set<int> s;
rep(i,1,r*c){
if(!u[(i-1)/c+1][(i-1)%c+1]) continue;
s.insert(find(i));
}
pii ans={1e9,0};
for(int c:s){
// cout << "comp " << c << nl;
if(dead[c]) continue;
// for(int x:nodes[c]) cout << x << " ";
// cout << nl;
if(sz(nodes[c])<ans.f) ans={sz(nodes[c]), sz(nodes[c])};
else ans.s+=sz(nodes[c]);
}
cout << ans.f << " " << ans.s;
}
// when did i become so sad?
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