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>
/// #pragma GCC optimize ("Ofast")
/// #pragma GCC target ("avx2")
/// #pragma GCC optimize("unroll-loops")
using namespace std;
using ll = long long;
using ii = pair<ll, ll>;
using vi = vector<int>;
#define ff first
#define ss second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lb lower_bound
const int oo = 1000 * 1000 * 1000 + 7;
int ST[40004];
int R[100][100][100], C[100][100][100];
void update(int v, int l, int r, int p, int val) {
if(l == r) {
ST[v] = val;
return;
}
int md = (l + r) / 2;
if(p <= md) update(v * 2, l, md, p, val);
else update(v * 2 + 1, md + 1, r, p, val);
ST[v] = max(ST[v * 2], ST[v * 2 + 1]);
}
int query(int v, int l, int r, int lo, int hi) {
if(l > hi || r < lo) return 0;
if(l >= lo && r <= hi) return ST[v];
return max(query(v * 2, l, (l + r) / 2, lo, hi),
query(v * 2 + 1, (l + r) / 2 + 1, r, lo, hi));
}
ll count_rectangles(vector<vector<int>> A) {
int N = A.size(), M = A[0].size();
ll res = 0;
if(N == 3) {
for(int l = 1; l < M - 1; l++) {
if(A[1][l] >= A[0][l] || A[1][l] >= A[2][l])
update(1, 0, M - 1, l, 1000000007);
else update(1, 0, M - 1, l, A[1][l]);
}
for(int l = 1; l < M - 1; l++) {
for(int i = l; i < M - 1; i++) {
int V = query(1, 0, M - 1, l, i);
res += (V < A[1][l - 1] && V < A[1][i + 1]);
}
}
}
if(N > 3) {
for(int l = 1; l < N - 1; l++) {
for(int i = 1; i < M - 1; i++) {
for(int j = l; j < N - 1; j++) {
for(int k = i; k < M - 1; k++) {
bool ok = 1;
for(int x = l; x <= j && ok; x++) {
for(int y = i; y <= k && ok; y++) {
int U = min(A[l - 1][y], A[j + 1][y]);
int V = min(A[x][i - 1], A[x][k + 1]);
if(A[x][y] >= min(U, V))
ok = 0;
}
}
res += ok;
}
}
}
}
}
return res;
}
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