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;
using ll = int;
using lll = long long;
long long count_rectangles(std::vector<std::vector<int> > a) {
ll n = a.size(), m = a[0].size();
if (n<3||m<3) return 0;
vector<vector<pair<ll,ll>>> row(n),col(m);
for(ll i = 0;i<n;i++){
vector<pair<ll,ll>> st;
for(ll j = 0;j<m;j++){
while(st.size()&&st.back().first<a[i][j]){
if(j>st.back().second+1)row[i].push_back({st.back().second,j});
st.pop_back();
}
if(st.size()){
if(j>st.back().second+1)row[i].push_back({st.back().second,j});
}
if (st.size()&&st.back().first==a[i][j]) st.pop_back();
st.push_back({a[i][j],j});
}
}
for(ll j = 0;j<m;j++){
vector<pair<ll,ll>> st;
for(ll i = 0;i<n;i++){
while(st.size()&&st.back().first<a[i][j]){
if(i>st.back().second+1)col[j].push_back({st.back().second,i});
st.pop_back();
}
if(st.size()){
if(i>st.back().second+1)col[j].push_back({st.back().second,i});
}
if (st.size()&&st.back().first==a[i][j]) st.pop_back();
st.push_back({a[i][j],i});
}
}
for(auto &o : row) sort(o.begin(),o.end());
for(auto &o : col) sort(o.begin(),o.end());
lll ans = 0;
for(ll r1 = 1;r1<n-1;r1++){
vector<pair<ll,ll>> cur = row[r1];
for(ll r2 = r1;r2<n-1;r2++){
if(r2>r1){
vector<pair<ll,ll>> nw;
for(auto &o : cur){
if (binary_search(row[r2].begin(),row[r2].end(),o)){
nw.push_back(o);
}
}
nw.swap(cur);
}
pair<ll,ll> t = {r1-1,r2+1};
vector<ll> ok(m,0);
for(ll i = 0;i<m;i++) ok[i] = binary_search(col[i].begin(),col[i].end(),t);
vector<ll> p(m+1,0);
for(ll i = 0;i<m;i++) p[i+1] = p[i]+ok[i];
for(auto &o : cur){
if (p[o.second]-p[o.first+1]==(o.second-o.first-1)) ans++;
}
}
}
return ans;
}
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