This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
#define F0R(i, a) for (int i = 0; i < (int)(a); i++)
#define PB push_back
#define MP make_pair
#define F first
#define S second
using namespace std;
typedef pair<int, int> pii;
#define MAXN 640000
string dirchar = "NESW";
int dr[4]{ -1, 0, 1, 0 };
int dc[4]{ 0, 1, 0, -1 };
int m, r, c;
int ss[MAXN];
int depth[MAXN], grouptop[MAXN];
int on[MAXN];
pii dfspar[MAXN];
int maxseq[16];
int u[800][800];
string s;
int par[MAXN];
int nextnode[MAXN];
int lastnode[MAXN];
int codefor(pii loc) {
return loc.F * c + loc.S;
}
int root(int node) { return (node == par[node]) ? node : par[node] = root(par[node]); }
bool inBounds(pii loc) {
return loc.F >= 0 && loc.F < r && loc.S >= 0 && loc.S < c && u[loc.F][loc.S] <= 100000;
}
bool infectedby(pii next, int comp) {
int mask = 0;
F0R(d, 4) {
pii indir = MP(next.F + dr[d], next.S + dc[d]);
if (inBounds(indir) && root(codefor(indir)) == root(comp)) {
mask |= 1 << d;
}
}
return maxseq[mask] >= u[next.F][next.S];
}
vector<pii> adjToComp(int comp) {
vector<pii> res;
for (int curr = comp; curr != -1; curr = nextnode[curr]) {
pii p = MP(curr / c, curr % c);
F0R(d, 4) {
pii next = MP(p.F + dr[d], p.S + dc[d]);
if (inBounds(next) && root(codefor(next)) != root(comp)) {
res.PB(next);
}
}
}
return res;
}
void join(int a, int b, queue<pii>& q) {
int r1 = root(a), r2 = root(b);
if (r1 == r2) {
return;
}
if (ss[r1] > ss[r2]) {
swap(r1, r2);
}
vector<pii> adj = adjToComp(r1);
par[r1] = r2;
on[r2] += on[r1];
nextnode[lastnode[r2]] = r1;
lastnode[r2] = lastnode[r1];
for (const pii p : adj) {
if (root(codefor(p)) != r2 && infectedby(p, r2)) {
q.push(p);
}
}
if (depth[grouptop[r1]] < depth[grouptop[r2]]) {
grouptop[r2] = grouptop[r1];
}
ss[r2] += ss[r1];
}
void preprocess() {
s += s;
F0R(mask, 16) {
int running = 0;
F0R(i, s.size()) {
int dcode = -1;
F0R(j, 4) if (s[i] == dirchar[j]) {
dcode = j;
}
if ((mask >> dcode) & 1) {
running++;
} else {
running = 0;
}
maxseq[mask] = max(maxseq[mask], running);
}
if (maxseq[mask] == (int)s.size()) {
maxseq[mask] = 100000;
}
}
}
void addtostack(stack<pii>& comps, stack<queue<pii>>& adjs, pii newloc) {
int code = codefor(newloc);
depth[code] = comps.size();
on[root(code)]++;
comps.push(newloc);
adjs.push(queue<pii>());
F0R(d, 4) {
pii next = MP(newloc.F + dr[d], newloc.S + dc[d]);
if (inBounds(next) && root(codefor(next)) != root(code)) {
if (infectedby(next, root(code))) {
adjs.top().push(next);
}
}
}
}
void tarjan(pii startloc) {
stack<pii> comps;
stack<queue<pii>> adjs;
addtostack(comps, adjs, startloc);
while (!comps.empty()) {
if (adjs.top().empty()) {
on[root(codefor(comps.top()))]--;
comps.pop();
adjs.pop();
} else {
pii next = adjs.top().front();
adjs.top().pop();
if (root(codefor(next)) == root(codefor(comps.top()))) {
continue;
}
if (depth[codefor(next)] != -1) {
if (on[root(codefor(next))]) {
int curr = grouptop[root(codefor(comps.top()))];
while (root(curr) != root(codefor(next))) {
pii nextup = dfspar[curr];
join(curr, codefor(nextup), adjs.top());
curr = grouptop[root(codefor(nextup))];
}
}
} else {
dfspar[codefor(next)] = comps.top();
addtostack(comps, adjs, next);
}
}
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> m >> r >> c;
cin >> s;
F0R(i, r) F0R(j, c) {
cin >> u[i][j];
if (u[i][j] == 0) {
u[i][j] = INT_MAX;
}
}
preprocess();
F0R(i, r) F0R(j, c) if (u[i][j] != INT_MAX) {
int code = codefor(MP(i, j));
par[code] = code;
ss[code] = 1;
grouptop[code] = code;
lastnode[code] = code;
nextnode[code] = -1;
}
F0R(i, r) F0R(j, c) depth[codefor(MP(i, j))] = -1;
F0R(i, r) F0R(j, c) if (u[i][j] != INT_MAX && depth[codefor(MP(i, j))] == -1) {
tarjan(MP(i, j));
}
pii res = MP(INT_MAX, 0);
F0R(i, r) F0R(j, c) if (u[i][j] != INT_MAX) {
pii loc = MP(i, j);
if (codefor(loc) == root(codefor(loc))) {
bool terminal = true;
for (const pii p : adjToComp(codefor(loc))) {
if (infectedby(p, codefor(loc))) {
terminal = false;
}
}
if (terminal) {
int curr = ss[codefor(loc)];
if (curr == res.F) {
res.S += curr;
} else if (curr < res.F) {
res = MP(curr, curr);
}
}
}
}
cout << res.F << "\n" << res.S << endl;
}
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