This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define here cerr<<"===========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#define ld double
#define ll long long
#define llinf 100000000000000000LL // 10^17
#define pb push_back
#define popb pop_back
#define fi first
#define sc second
#define endl '\n'
#define pll pair<ll,ll>
#define pld pair<ld,ld>
#define sz(a) (ll)(a.size())
#define all(a) a.begin(),a.end()
#define ceri(a,l,r) {for(ll i_ = l;i_<=r;i_++) cerr<<a[i_]<< " ";cerr<<endl;}
#define daj_mi_malo_vremena ios_base::sync_with_stdio(false);cerr.tie(0);cout.tie(0);cin.tie(0);
using namespace std;
using namespace __gnu_pbds;
/*
ll add(ll x,ll y){
x+=y;
if(x<0){
x%=mod;
x+=mod;
}else{
if(x>=mod) x%=mod;
}
return x;
}
ll mul(ll a,ll b){
ll ans = (a*b)%mod;
if(ans<0) ans+=mod;
return ans;
}
*/
typedef tree<int,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
typedef tree<int,null_type,less_equal<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_multiset;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll rnd(ll l,ll r){
return uniform_int_distribution<ll>(l,r)(rng);
}
#define maxn 100005
#define maxc 805
ll d,n,m;
ll cnt[5];
ll a[maxc][maxc];
ll id[maxc][maxc];
ll tsz = 0;
vector<ll> g[maxn];
vector<ll> dx = {-1,1,0,0};
vector<ll> dy = {0,0,-1,1};
bool valid(ll x,ll y){return x>=1&&x<=n&&y>=1&&y<=m;}
ll low[maxn],vis[maxn],in[maxn],comp[maxn],deg[maxn],cdeg[maxn],siz[maxn];
bool na[maxn];
ll timer = 0;
ll csz = 0;
stack<ll> s;
void dfs(ll u){
vis[u] = 1; na[u] = 1; s.push(u);
in[u] = ++timer; low[u] = in[u];
for(ll s : g[u]){
if(!vis[s]) dfs(s);
if(na[s]) low[u] = min(low[u],low[s]);
}
if(low[u]==in[u]){
++csz;
while(sz(s)){
ll v = s.top();
comp[v] = csz;
na[v] = 0;
s.pop();
siz[csz]++;
if(v==u) break;
}
}
}
int main(){
daj_mi_malo_vremena
cin >> d >> n >> m;
string s; cin >> s;
for(char c : s){
if(c=='S') cnt[1]++;
if(c=='N') cnt[0]++;
if(c=='E') cnt[3]++;
if(c=='W') cnt[2]++;
}
for(ll i = 1;i<=n;i++) for(ll j = 1;j<=m;j++){cin >> a[i][j];if(a[i][j]==0) a[i][j] = llinf;id[i][j]=++tsz;}
for(ll i = 1;i<=n;i++){
for(ll j = 1;j<=m;j++){
if(a[i][j]==llinf) continue;
for(ll e = 0;e<4;e++){
ll ni = i + dx[e],nj = j + dy[e];
if(!valid(ni,nj)||(cnt[e]<a[ni][nj])) continue;
ll x = id[i][j],y = id[ni][nj];
g[x].pb(y);
deg[y]++;
}
}
}
for(ll i = 1;i<=tsz;i++) if(!deg[i]) dfs(i);
for(ll i = 1;i<=tsz;i++){
for(ll j : g[i]) cdeg[comp[j]]++;
}
ll ans = 0,cnt = 0;
for(ll i = 1;i<=csz;i++){
if(siz[i]>ans) ans = siz[i],cnt = siz[i];
else if(siz[i]==ans) cnt+=siz[i];
}
cout<<ans<<endl;
cout<<cnt<<endl;
return 0;
}
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