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("O3")
#pragma GCC target("avx2")
#include "rect.h"
#define ll long long
#define ar array
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using namespace std;
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rint(l, r) uniform_int_distribution<int>(l, r)(rng)
struct fenwick {
int n; vector<int> bit;
fenwick(int a) : n(a), bit(a+1) {}
void update(int pos, int x) {
pos++;
for (int i = pos; i <= n; i += i&-i) bit[i] += x;
}
int sum(int pos) {
int res = 0;
while (pos) res += bit[pos], pos -= pos&-pos;
return res;
}
int query(int l, int r) {
return sum(r+1) - sum(l);
}
};
long long count_rectangles(std::vector<std::vector<int>> a) {
int n = sz(a), m = sz(a[0]);
if ((n <= 700 && m <= 700) || (n <= 3)) {
vector ok(n, vector(n, vector<bool>(m)));
for (int i = 0; i < m; i++) {
for (int j = 1; j < n-1; j++) {
int mx = 0;
for (int k = j; k < n-1; k++) {
ckmax(mx, a[k][i]);
ok[j][k][i] = mx >= min(a[j-1][i], a[k+1][i]);
}
}
}
vector<vector<int>> right(n, vector<int>(m, -1)), left(n, vector<int>(m, m-1));
for (int i = 0; i < n; i++) {
for (int j = 1; j < m-1; j++) {
int mx = 0;
for (int k = j; k < m-1; k++) {
ckmax(mx, a[i][k]);
if (mx >= a[i][j-1]) break;
right[i][j] = k;
}
}
for (int j = m-2; j >= 1; j--) {
int mx = 0;
for (int k = j; k >= 1; k--) {
ckmax(mx, a[i][k]);
if (mx >= a[i][j+1]) break;
left[i][j] = k;
}
}
}
long long ans = 0;
for (int i = 1; i < n-1; i++) {
vector<int> R(m, m-2), L(m, -1);
for (int j = i; j < n-1; j++) {
for (int k = 0; k < m; k++) {
ckmin(R[k], right[j][k]);
ckmax(L[k], left[j][k]);
}
vector<int> to(m, -1);
for (int k = m-1; k >= 0; k--) if (!ok[i][j][k]) {
int l = k;
while (l && !ok[i][j][l-1]) l--;
for (int z = l; z <= k; z++) to[z] = k;
k = l;
}
for (int k = 1; k < m-1; k++) {
int r = min(to[k], R[k]);
for (int l = k; l <= r; l++) ans += L[l] <= k;
}
}
}
return ans;
}
vector<vector<bool>> vis(n, vector<bool>(m));
const int dx[]{1, 0, -1, 0}, dy[]{0, 1, 0, -1};
int ans = 0;
for (int i = 1; i < n-1; i++) {
for (int j = 1; j < m-1; j++) if (!vis[i][j] && !a[i][j]) {
int lx = i, ly = j, rx = i, ry = j, got = 0;
auto dfs = [&](auto&& s, int x, int y) -> void {
vis[x][y] = 1, got++;
ckmin(lx, x);
ckmax(rx, x);
ckmin(ly, y);
ckmax(ry, y);
for (int d = 0; d < 4; d++) {
int nx = x + dx[d], ny = y + dy[d];
if (nx >= 1 && ny >= 1 && nx < n-1 && ny < m-1 && !vis[nx][ny] && !a[nx][ny]) s(s, nx, ny);
}
};
dfs(dfs, i, j);
ans += (rx-lx+1)*(ry-ly+1) == got;
}
}
return ans;
}
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