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 "rect.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define int ll
typedef pair<int, int> pii;
#define ff first
#define ss second
#define all(v) v.begin(), v.end()
#define FOR(i, n) for (int i = 0; i < n; i++)
struct node{
int on = 0, mxx, mnx, mxy, mny;
};
vector<vector<node>> st;
vector<int> get_last_big(vector<int> v){
int n = v.size();
vector<int> res(n, -1);
stack<pii> s;
s.push({INT_MAX, -1});
FOR(i, n){
int a = v[i];
while(a >= s.top().ff) s.pop();
res[i] = s.top().ss;
s.push({a, i});
}
return res;
}
long long count_rectangles(vector<vector<signed>> v) {
int n = v.size();
int m = v[0].size();
st.assign(n, vector<node>(m));
FOR(i, n){
vector<int> cur;
vector<int> res;
FOR(j, m){
cur.push_back(v[i][j]);
}
res = get_last_big(cur);
FOR(j, m){
st[i][j].mnx = res[j];
}
reverse(all(cur));
res = get_last_big(cur);
reverse(all(res));
FOR(j, m){
st[i][j].mxx = m - res[j] - 1;
}
}
FOR(j, m){
vector<int> cur;
vector<int> res;
FOR(i, n){
cur.push_back(v[i][j]);
}
res = get_last_big(cur);
FOR(i, n){
st[i][j].mny = res[i];
}
reverse(all(cur));
res = get_last_big(cur);
reverse(all(res));
FOR(i, n){
st[i][j].mxy = n - res[i] - 1;
}
}
vector<vector<pii>> ord(7000005);
FOR(i, n) FOR(j, m){
ord[v[i][j]].push_back({i, j});
}
ll res = 0;
for (auto o : ord) {
for (auto [x, y] : o) {
st[x][y].on = true;
}
for (auto [x, y] : o) {
int mxx, mnx, mxy, mny;
mxx = st[x][y].mxx;
mnx = st[x][y].mnx;
mxy = st[x][y].mxy;
mny = st[x][y].mny;
if(mxx >= m || mxy >= n || mnx < 0 || mny < 0) continue;
bool f = 0;
for (int i = mny + 1; i < mxy; i++){
for (int j = mnx + 1; j < mxx; j++) {
if(!st[i][j].on) {f = 1; break;}
if(st[i][j].mnx < mnx) {f = 1; break;}
if(st[i][j].mny < mny) {f = 1; break;}
if(st[i][j].mxx > mxx) {f = 1; break;}
if(st[i][j].mxy > mxy) {f = 1; break;}
}
if(f) break;
}
if(!f) res++;
}
}
return res;
}
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