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#include "rect.h"
#include<iostream>
#include<vector>
#include<bitset>
#include<cassert>
using namespace std;
using ll = long long;
#define forn(i, n) for(int i=0; i<(int)n; ++i)
#define forsn(i, s, n) for(int i=s; i<(int)n; ++i)
#define dforn(i, n) for(int i=n-1; i>=0; --i)
#define dforsn(i, s, n) for(int i=n-1; i>=s; --i)
#define PB push_back
const int MAXN = 800;
bitset<MAXN> mask[MAXN][MAXN]; // column, start row
bitset<MAXN> one("1"), full;
int n, m, arr[MAXN][MAXN], brr[MAXN][MAXN];
int far[MAXN][MAXN][MAXN]; // row, l, r
void calc1(){
	dforn(row, n){
		forsn(i, 1, m-1){
			int mx = -1;
			forsn(j, i, m-1){
				mx = max(mx, arr[row][j]);
				if(mx<arr[row][i-1] && mx<arr[row][j+1]){
					far[row][i][j]=far[row+1][i][j];
				}
				else far[row][i][j]=row;
			}
		}
	}
}
void calc2(){
	forn(col, m){
		forsn(i, 1, n-1){
			int mx = -1;
			forsn(j, i, n-1){
				mx = max(mx, brr[col][j]);
				if(mx<brr[col][i-1] && mx<brr[col][j+1]){
					mask[i][col]|=(one<<j);
				}
			}
		}
	}
}
long long count_rectangles(std::vector<std::vector<int> > a) {
	n=(int)a.size(), m=(int)a[0].size();
	assert(n<MAXN-4);
	assert(m<MAXN-4);
	forn(i, MAXN-3) full|=(one<<i);
	forn(i, n) forn(j, m) brr[j][i]=arr[i][j]=a[i][j];
	forn(i, m) forn(j, m) far[n][i][j]=n;
	calc1();
	calc2();
	ll ans=0;
	forsn(row, 1, n-1){
		forsn(i, 1, m-1){
			bitset<MAXN> bt("0");
			bt|=full;
			forsn(j, i, m-1){
				bt&=mask[row][j];
				ans+=(bt&(full>>(MAXN-3-far[row][i][j]))).count();
			}
		}
	}
	
	return ans;
}
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