제출 #412469

#제출 시각아이디문제언어결과실행 시간메모리
412469timmyfengRectangles (IOI19_rect)C++17
72 / 100
5092 ms711004 KiB
#include <bits/stdc++.h> using namespace std; const int N = 2500; vector<int> where_h[N][N], where_v[N][N]; int jump_h[N][N][2], jump_v[N][N][2]; array<int, 4> rects[8 * N * N]; bool check(vector<int> &s, int a, int b) { return (int) (upper_bound(s.begin(), s.end(), b) - lower_bound(s.begin(), s.end(), a)) == b - a + 1; } long long count_rectangles(vector<vector<int>> a) { int n = a.size(), m = a[0].size(); for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { for (int k = 0; k < 2; ++k) { jump_h[i][j][0] = jump_v[i][j][0] = -1; } } } for (int i = 0; i < n; ++i) { vector<int> mono; for (int j = 0; j < m; ++j) { bool equal = false; while (!mono.empty() && a[i][mono.back()] <= a[i][j]) { int k = mono.back(); mono.pop_back(); equal = a[i][k] == a[i][j]; if (k + 1 <= j - 1) { jump_h[i][k + 1][1] = j - 1; where_h[k + 1][j - 1].push_back(i); } } if (!mono.empty() && !equal) { int k = mono.back(); if (k + 1 <= j - 1) { jump_h[i][j - 1][0] = k + 1; where_h[k + 1][j - 1].push_back(i); } } mono.push_back(j); } } for (int i = 0; i < m; ++i) { vector<int> mono; for (int j = 0; j < n; ++j) { bool equal = false; while (!mono.empty() && a[mono.back()][i] <= a[j][i]) { int k = mono.back(); mono.pop_back(); equal = a[k][i] == a[j][i]; if (k + 1 <= j - 1) { jump_v[k + 1][i][1] = j - 1; where_v[k + 1][j - 1].push_back(i); } } if (!mono.empty() && !equal) { int k = mono.back(); if (k + 1 <= j - 1) { jump_v[j - 1][i][0] = k + 1; where_v[k + 1][j - 1].push_back(i); } } mono.push_back(j); } } int ans = 0; for (int a = 0; a < n; ++a) { for (int b = 0; b < m; ++b) { for (auto c : jump_v[a][b]) { if (c != -1) { for (auto d : {a, c}) { for (auto e : jump_h[d][b]) { if (e != -1) { int w = min(a, c), x = max(a, c); int y = min(b, e), z = max(b, e); if (check(where_v[w][x], y, z) && check(where_h[y][z], w, x)) { rects[ans++] = {w, x, y, z}; } } } } } } } } sort(rects, rects + ans); return unique(rects, rects + ans) - rects; }
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