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<bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define ff first
#define ss second
#define pb push_back
#define SZ(x) ((int)(x).size())
#define all(x) x.begin(), x.end()
#define debug(x) cout << #x << ": " << x << " "
#define nl cout << "\n"
#define rep(i, a, b) for(int i = (a); i <= (b); i++)
#define per(i, a, b) for(int i = (a); i >= (b); i--)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
long long count_rectangles(vector<vector<int>> a){
int N = SZ(a), M = SZ(a[0]);
map<pair<pii, pii>, int> mp;
vector<int> rt[N][M], dw[N][M];
rep(i, 0, N - 1){
vector<int> st;
per(j, M - 1, 0){
while(!st.empty() && a[i][j] >= a[i][st.back()]){
if(j + 1 < st.back()) rt[i][j].pb(st.back());
st.pop_back();
}
if(!st.empty() && j + 1 < st.back()) rt[i][j].pb(st.back());
st.pb(j);
}
}
rep(j, 0, M - 1){
vector<int> st;
per(i, N - 1, 0){
while(!st.empty() && a[i][j] >= a[st.back()][j]){
if(i + 1 < st.back()) dw[i][j].pb(st.back());
st.pop_back();
}
if(!st.empty() && i + 1 < st.back()) dw[i][j].pb(st.back());
st.pb(i);
}
}
ll ans = 0;
rep(i, 0, N - 1){
rep(j, 0, M - 1){
for(int j2 : rt[i][j]){
mp[{{i, i}, {j, j2}}] = 1;
}
}
}
rep(i, 1, N - 2){
rep(j, 0, M - 1){
for(int j2 : rt[i][j]){
set<int> st;
for(int i2 : dw[i - 1][j + 1]) st.insert(i2);
rep(k, j + 2, j2 - 1){
set<int> st2;
for(int i2 : dw[i - 1][k]){
if(st.count(i2)) st2.insert(i2);
}
st = st2;
}
for(int i2 : st){
bool ok = true;
rep(k, i, i2 - 1){
if(!mp.count({{k, k}, {j, j2}})){
ok = false; break;
}
}
ans += (ok == true);
}
}
}
}
return ans;
}
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