#ifdef t9unkubj
#include"my_template.h"
//#include"my_template_no_debug.h"
#else
#define dbg(...) 199958
#pragma GCC optimize("O3")
#include"bits/stdc++.h"
using namespace std;
using uint=unsigned;
using ll=long long;
using ull=unsigned long long;
using ld=long double;
using i128=__int128;
template<class T>using vc=vector<T>;
template<class T>using vvc=vc<vc<T>>;
template<class T>using vvvc=vc<vvc<T>>;
template<class T>using vvvvc=vc<vvvc<T>>;
template<class T>using smpq=priority_queue<T,vc<T>,greater<T>>;
template<class T>using bipq=priority_queue<T>;
using vi=vc<int>;
using vvi=vvc<int>;
using vl=vc<ll>;
using vvl=vvc<ll>;
#define rep(i,n) for(ll i=0;i<(ll)(n);i++)
#define REP(i,j,n) for(ll i=(j);i<(ll)(n);i++)
#define DREP(i,n,m) for(ll i=(n);i>=(m);i--)
#define drep(i,n) for(ll i=(ll(n)-1);i>=0;i--)
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define pb push_back
template<class T,class F>
bool chmin(T &x, F y){
if(x>y){
x=y;
return true;
}
return false;
}
template<class T, class F>
bool chmax(T &x, F y){
if(x<y){
x=y;
return true;
}
return false;
}
template<class T>
T sum(const vector<T>&v){
return accumulate(all(v),T(0));
}
template<class T>
T min(const vector<T>&v){
return *min_element(all(v));
}
template<class T>
T max(const vector<T>&v){
return *max_element(all(v));
}
void YesNo(bool y){
cout<<(y?"Yes":"No")<<endl;
}
void Yes(){
cout<<"Yes"<<endl;
}
void No(){
cout<<"No"<<endl;
}
template<class T>
void unique(vc<T>&a){
a.erase(unique(all(a)),a.end());
}
vvi readgraph(int n,int m,int off = -1){
vvi g(n);
rep(i, m){
int u,v;
cin>>u>>v;
u+=off,v+=off;
g[u].push_back(v);
g[v].push_back(u);
}
return g;
}
vvi readtree(int n,int off=-1){
return readgraph(n,n-1,off);
}
template<class T>
vc<T> presum(vc<T> &a){
vc<T> ret(a.size()+1);
rep(i,a.size())ret[i+1]=ret[i]+a[i];
return ret;
}
template<class T, class F>
vc<T> &operator+=(vc<T> &a,F b){
for (auto&v:a)v += b;
return a;
}
template<class T, class F>
vc<T> &operator-=(vc<T>&a,F b){
for (auto&v:a)v-=b;
return a;
}
ostream&operator<<(ostream&os,i128 num) {
if(num==0){
os<<"0";
return os;
}
if(num<0){
os<<"-";
num=-num;
}
string res;
while(num){
res+='0'+static_cast<int>(num%10);
num/=10;
}
reverse(all(res));
os<<res;
return os;
}
istream&operator>>(istream& is,i128&num) {
string s;
is>>s;
bool neg=0;
num=0;
if(s[0]=='-'){
neg=1;
s=s.substr(1);
}
for(auto&c:s){
if (c>='0'&&c<='9'){
num=num*10+(c-'0');
}else{
is.setstate(ios::failbit);
return is;
}
}
if(neg){
num=-num;
}
return is;
}
void scan(int&a) { cin >> a; }
void scan(ll&a) { cin >> a; }
void scan(string&a) { cin >> a; }
void scan(char&a) { cin >> a; }
void scan(uint&a) { cin >> a; }
void scan(ull&a) { cin >> a; }
void scan(bool&a) { cin >> a; }
void scan(ld&a){ cin>> a; }
void scan(i128&a){ cin>> a; }
template<class T> void scan(vector<T>&a) { for(auto&x:a) scan(x); }
void read() {}
template<class Head, class... Tail> void read(Head&head, Tail&... tail) { scan(head); read(tail...); }
#define INT(...) int __VA_ARGS__; read(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; read(__VA_ARGS__);
#define ULL(...) ull __VA_ARGS__; read(__VA_ARGS__);
#define STR(...) string __VA_ARGS__; read(__VA_ARGS__);
#define CHR(...) char __VA_ARGS__; read(__VA_ARGS__);
#define DBL(...) double __VA_ARGS__; read(__VA_ARGS__);
#define LD(...) ld __VA_ARGS__; read(__VA_ARGS__);
#define I128(...) i128 __VA_ARGS__; read(__VA_ARGS__);
#define VC(type, name, ...) vector<type> name(__VA_ARGS__); read(name);
#define VVC(type, name, size, ...) vector<vector<type>> name(size, vector<type>(__VA_ARGS__)); read(name);
void print(int a) { cout << a; }
void print(ll a) { cout << a; }
void print(string a) { cout << a; }
void print(char a) { cout << a; }
void print(uint a) { cout << a; }
void print(bool a) { cout << a; }
void print(ull a) { cout << a; }
void print(double a) { cout << a; }
void print(ld a){ cout<< a; }
void print(i128 a){ cout<< a; }
template<class T> void print(vector<T>a) { for(int i=0;i<(int)a.size();i++){if(i)cout<<" ";print(a[i]);}cout<<endl;}
void PRT() { cout <<endl; return ; }
template<class T> void PRT(T a) { print(a); cout <<endl; return; }
template<class Head, class... Tail> void PRT(Head head, Tail ... tail) { print(head); cout << " "; PRT(tail...); return; }
struct ioset{
ioset(){
cin.tie(0)->sync_with_stdio(0);
#ifdef t9unkubj
cout<<fixed<<setprecision(6);
#else
cout<<fixed<<setprecision(20);
#endif
}
}ioset_______;
struct MY_TIMER{
double start_time;
MY_TIMER(){
start_time=clock();
}
double out(){
return (clock()-start_time)/double(CLOCKS_PER_SEC);
}
}TIMER;
#endif
template<class T,auto op,int extra>
struct base_dsu{
vector<int>par;
vector<T>data;
base_dsu(int n):par(n,-1){
static_assert(!extra,"e is needed");
}
base_dsu(int n,T e):par(n,-1),data(n,e){}
T& operator[](int i){
static_assert(extra,"No data");
return data[leader(i)];
}
int root(int x){
if(par[x]<0)return x;
else return par[x]=root(par[x]);
}
bool same(int x,int y){
return root(x)==root(y);
}
bool merge(int x,int y){
x=root(x);
y=root(y);
if(x==y)return false;
if(par[x]>par[y])swap(x,y);
par[x]+=par[y];
par[y]=x;
if(extra){
data[x]=op(data[y],data[x]);
}
return true;
}
int size(int x){
return -par[root(x)];
}
int leader(int x){
return root(x);
}
};
int tf323(int a,int b){return a;}
using dsu=base_dsu<int,tf323,0>;
template<class T,auto op>
using extra_dsu=base_dsu<T,op,1>;
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(){}
csr(int n, const std::vector<std::pair<int, E>>& edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
struct edge {
int to;
};
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
csr<edge>g;
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v) break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1) dfs(dfs, i);
}
for (auto& x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second) counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
int _n;
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
void solve(){
INT(m,r,c);
STR(s);
VVC(int,u,r,c);
vc<int>ren(16);
map<char,int>inv;
//
inv['E']=0;
inv['S']=1;
inv['W']=2;
inv['N']=3;
rep(i,16){
vc<int>v;
while(v.size()<2e5){
for(auto&x:s){
v.push_back(i>>inv[x]&1);
}
}
vc<int>val(v.size());
drep(i,v.size()){
if(i+1<v.size()&&v[i]){
chmax(val[i],val[i+1]+v[i]);
}
chmax(val[i],v[i]);
}
ren[i]=max(val);
}
dbg(ren);
vc<int>dx{0,1,0,-1},dy{1,0,-1,0};
dsu dsu(r*c);
while(1){
atcoder::scc_graph scc(r*c);
vc<int>cnt(r*c);
rep(i,r)rep(j,c){
unordered_map<int,int>ma;
rep(k,4){
uint ni=i+dx[k];
uint nj=j+dy[k];
if(ni<r&&nj<c){
ma[dsu.leader(ni*c+nj)]|=1<<k;
}
}
for(auto&[x,y]:ma){
if(u[i][j]&&ren[y]>=u[i][j]&&x!=dsu.leader(i*c+j))cnt[x]++,scc.add_edge(x,dsu.leader(i*c+j));
}
}
int update=0;
for(auto&x:scc.scc()){
update|=x.size()>1;
rep(i,x.size()-1)dsu.merge(x[i],x[i+1]);
}
if(update==0){
int mi=1e9;
rep(j,r*c){
if(dsu.leader(j)==j&&u[j/c][j%c]){
if(cnt[j]==0){
chmin(mi,dsu.size(j));
}
}
}
int ans=0;
rep(j,r*c){
if(dsu.leader(j)==j&&u[j/c][j%c]){
if(cnt[j]==0&&dsu.size(j)==mi){
ans+=mi;
}
}
}
cout<<mi<<" "<<ans<<"\n";
return;
}
}
}
signed main(){
int t=1;
//cin>>t;
while(t--)solve();
}
/*
ある状況がvalidかは炉リハで事前計算
一人だけで感染させられる人々を集めて連結成分を作る
*/
