제출 #579425

#제출 시각아이디문제언어결과실행 시간메모리
579425djs100201Rectangles (IOI19_rect)C++17
72 / 100
5108 ms883072 KiB
#include "rect.h" #include<bits/stdc++.h> #define all(v) v.begin(),v.end() using ll = long long; using namespace std; const int n_ = 2505; using P = pair<int, int>; ll n, m, k, tc = 1, a, b, c, d, sum, x, y, z, base, ans, q; int R[n_][n_], U[n_][n_], D[n_][n_], L[n_][n_]; vector<int>row[n_][n_], idx[n_][n_]; int tree_[n_]; int f(int l, int r) { r++; int ret = 0; for (; l; l -= (l & -l))ret -= tree_[l]; for (; r; r -= (r & -r))ret += tree_[r]; return ret; } void update(int i, int val) { i++; for (; i <= max(n,m); i += i & -i)tree_[i] += val; } long long count_rectangles(std::vector<std::vector<int> > arr) { ll ret = 0; n = arr.size(); m = arr[0].size(); for (int i = 0; i < n; i++) { stack<P>A, B; A.push({ arr[i][0],0 }); B.push({ arr[i][m - 1],m - 1 }); for (int j = 1; j < m; j++) { while (A.size() && A.top().first <= arr[i][j])A.pop(); if (A.empty())L[i][j] = -1; else L[i][j] = A.top().second; A.push({ arr[i][j],j }); while (B.size() && B.top().first <= arr[i][m - 1 - j])B.pop(); if (B.empty())R[i][m - 1 - j] = -1; else R[i][m - 1 - j] = B.top().second; B.push({ arr[i][m - 1 - j],m - 1 - j }); } } for (int i = 0; i < m; i++) { stack<P>A, B; A.push({ arr[0][i],0 }); B.push({ arr[n - 1][i],n - 1 }); for (int j = 1; j < n; j++) { while (A.size() && A.top().first <= arr[j][i])A.pop(); if (A.empty())U[j][i] = -1; else U[j][i] = A.top().second; A.push({ arr[j][i],j }); while (B.size() && B.top().first <= arr[n - 1 - j][i])B.pop(); if (B.empty())D[n - 1 - j][i] = -1; else D[n - 1 - j][i] = B.top().second; B.push({ arr[n - 1 - j][i],n - 1 - j }); } } vector<vector<int>>query; for (int j = 1; j + 1 < m; j++) for (int i = 1; i + 1 < n; i++) { if (D[i][j] != -1 && U[i][j] != -1) { if (row[U[i][j]][D[i][j]].size() && row[U[i][j]][D[i][j]].back() == j)continue; row[U[i][j]][D[i][j]].push_back(j); if (L[i][j] != -1 && R[i][j] != -1) { query.push_back({ L[i][j],R[i][j],U[i][j],D[i][j] }); } } } sort(all(query)); query.erase(unique(query.begin(), query.end()), query.end()); int cnt = 0; for (auto nxt : query) { idx[nxt[2]][nxt[3]].push_back(cnt); cnt++; } assert(cnt <= n * m); vector<int>now(cnt + 1); for (int i = 0; i < n; i++) for (int j = i + 2; j < n; j++) { for (auto nxt : row[i][j])update(nxt, 1); for (auto nxt : idx[i][j]) { ll l = query[nxt][0], r = query[nxt][1]; int len = f(l + 1, r - 1); if (len == r - l - 1)now[nxt]++; } for (auto nxt : row[i][j])update(nxt, -1); row[i][j].clear(); idx[i][j].clear(); } cnt = 0; for (auto nxt : query) { idx[nxt[0]][nxt[1]].push_back(cnt); cnt++; } for (int i = 1; i + 1 < n; i++) for (int j = 1; j + 1 < m; j++) { if (L[i][j] != -1 && R[i][j] != -1) { if (row[L[i][j]][R[i][j]].size() && row[L[i][j]][R[i][j]].back() == i)continue; row[L[i][j]][R[i][j]].push_back(i); } } for (int i = 0; i < m; i++) for (int j = i + 2; j < m; j++) { for (auto nxt : row[i][j])update(nxt, 1); for (auto nxt : idx[i][j]) { if (now[nxt] == 0)continue; ll l = query[nxt][2], r = query[nxt][3]; int len = f(l + 1, r - 1); if (len == r - l - 1)ret++; } for (auto nxt : row[i][j])update(nxt, -1); } return ret; }
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