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| 1 | +#include<bits/stdc++.h> |
| 2 | +using namespace std; |
| 3 | + |
| 4 | +// Maximum area of rectangle in a binary matrix |
| 5 | +int MAH(vector<int> a, int n) { |
| 6 | +vector<int> left; |
| 7 | +vector<int> right; |
| 8 | +stack<pair<int, int>> s; |
| 9 | +stack<pair<int, int>> s1; |
| 10 | + |
| 11 | +// NSL |
| 12 | +for (int i = 0; i < n; i++) { |
| 13 | + |
| 14 | +if (s.size() == 0) left.push_back(-1); |
| 15 | +else if (s.size() > 0 && s.top().first < a[i]) { |
| 16 | +left.push_back(s.top().second); |
| 17 | +} |
| 18 | +else if (s.size() > 0 && s.top().first >= a[i]) { |
| 19 | +while (s.size() > 0 && s.top().first >= a[i]) { |
| 20 | +s.pop(); |
| 21 | +} |
| 22 | +if (s.size() == 0) left.push_back(-1); |
| 23 | +else left.push_back(s.top().second); |
| 24 | +} |
| 25 | +s.push({a[i], i}); |
| 26 | +} |
| 27 | +//NSR |
| 28 | +for (int i = n - 1; i >= 0; i--) { |
| 29 | + |
| 30 | +if (s1.size() == 0) right.push_back(n); |
| 31 | +else if (s1.size() > 0 && s1.top().first < a[i]) { |
| 32 | +right.push_back(s1.top().second); |
| 33 | +} |
| 34 | +else if (s1.size() > 0 && s1.top().first >= a[i]) { |
| 35 | +while (s1.size() > 0 && s1.top().first >= a[i]) { |
| 36 | +s1.pop(); |
| 37 | +} |
| 38 | +if (s1.size() == 0) right.push_back(n); |
| 39 | +else right.push_back(s1.top().second); |
| 40 | +} |
| 41 | +s1.push({a[i], i}); |
| 42 | +} |
| 43 | +reverse(right.begin(), right.end()); |
| 44 | + |
| 45 | +int area = INT_MIN; |
| 46 | +int temp; |
| 47 | +for (int i = 0; i < n; i++) { |
| 48 | +temp = (right[i] - left[i] - 1) * a[i]; |
| 49 | +area = max(area, temp); |
| 50 | +} |
| 51 | +return area; |
| 52 | +} |
| 53 | + |
| 54 | +int main() { |
| 55 | + |
| 56 | + |
| 57 | +#ifndef ONLINE_JUDGE |
| 58 | +freopen("input.txt", "r", stdin); |
| 59 | +freopen("output.txt", "w", stdout); |
| 60 | +#endif |
| 61 | + |
| 62 | +int n; |
| 63 | +cin >> n; |
| 64 | +int a[n][n]; |
| 65 | + |
| 66 | +vector<int> v; |
| 67 | + |
| 68 | +for (int i = 0; i < n; i++) { |
| 69 | +for (int j = 0; j < n; j++) { |
| 70 | +cin >> a[i][j]; |
| 71 | +} |
| 72 | +} |
| 73 | + |
| 74 | +for (int j = 0; j < n; j++) { |
| 75 | +v.push_back(a[0][j]); |
| 76 | +} |
| 77 | + |
| 78 | +int ans = MAH(v, n); |
| 79 | + |
| 80 | +for (int i = 1; i < n; i++) { |
| 81 | +for (int j = 0; j < n; j++) { |
| 82 | +if (a[i][j] == 0) v[j] = 0; |
| 83 | +else v[j] = v[j] + a[i][j]; |
| 84 | +} |
| 85 | +ans = max(ans, MAH(v, n)); |
| 86 | +} |
| 87 | + |
| 88 | +cout << ans; |
| 89 | + |
| 90 | +} |
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