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>
#define N 505
using namespace std;
struct BIT2D{
vector<vector<int>> bit;
int n;
BIT2D(){
n = N;
bit.assign(N,vector<int>(N,0));
}
void upd(int x,int y,int val){
for(;x < n;x += x & -x){
for(;y < n;y += y & -y){
bit[x][y] += val;
}
}
}
int get(int x,int y){
int ret = 0;
for(;x > 0;x -= x & -x){
for(;y > 0;y -= y & -y){
ret += bit[x][y];
}
}
return ret;
}
};
map<int,int> dwn[N][N];
short rght[N][N][N];
long long count_rectangles(vector<vector<int>> a){
long long ans = 0;
int n = a.size();
int m = a[0].size();
for(int i = m-1;i>=0;i--){
for(int j = 0;j<n-1;j++){
int maxi = a[j+1][i];
for(int c = j+2;c<n && maxi < a[j][i];c++){
if(maxi >= a[c][i])
continue;
rght[j][i][c] = 1;
rght[j][i][c] += rght[j][i + 1][c];
maxi = a[c][i];
}
}
}
int cnt = 0;
BIT2D t;
for(int i = n-1;i>0;i--){
vector<int> nxt(m + 5,m);
stack<int> st;
st.push(m-1);
for(int j = m-2;j>=0;j--){
while(st.size() && a[i][st.top()] <= a[i][j])
st.pop();
if(st.size())
nxt[j] = st.top();
st.push(j);
for(int c = nxt[j + 1];c < m;c = nxt[j]){
dwn[i][j][c] = 1 + dwn[i + 1][j][c];
for(int d = i + 1;d <= i + dwn[i][j][c];d++){
ans += (j + 1 + rght[i-1][j+1][d]) >= c;
}
if(a[i][c] <= a[i][j])
break;
}
}
}
assert(cnt <= n * m);
return ans;
}
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