Submission #290630

#TimeUsernameProblemLanguageResultExecution timeMemory
290630IgorIRectangles (IOI19_rect)C++17
72 / 100
5152 ms877480 KiB
#include <bits/stdc++.h> using namespace std; const int INF = 88888888; const int N = 2512; typedef vector<vector<int> > vvi; typedef vector<int> vi; #define all(x) (x).begin(), (x).end() int le[N][N], ri[N][N], up[N][N], down[N][N]; long long count_rectangles(vector<vector<int> > a) { int n = a.size(), m = a[0].size(); for (int i = 0; i < n; i++) { vector<pair<int, int> > st; st.push_back({-1, INF}); for (int j = 0; j < m; j++) { while (st.back().second < a[i][j]) st.pop_back(); le[i][j] = st.back().first; st.push_back({j, a[i][j]}); } } for (int i = 0; i < n; i++) { vector<pair<int, int> > st; st.push_back({m, INF}); for (int j = m - 1; j >= 0; j--) { while (st.back().second < a[i][j]) st.pop_back(); ri[i][j] = st.back().first; st.push_back({j, a[i][j]}); } } for (int j = 0; j < m; j++) { vector<pair<int, int> > st; st.push_back({-1, INF}); for (int i = 0; i < n; i++) { while (st.back().second < a[i][j]) st.pop_back(); up[i][j] = st.back().first; st.push_back({i, a[i][j]}); } } for (int j = 0; j < m; j++) { vector<pair<int, int> > st; st.push_back({n, INF}); for (int i = n - 1; i >= 0; i--) { while (st.back().second < a[i][j]) st.pop_back(); down[i][j] = st.back().first; st.push_back({i, a[i][j]}); } } vector<vector<vector<pair<int, int> > > > rooted(n, vector<vector<pair<int, int> > >(m)); for (int i = 1; i + 1 < n; i++) { for (int j = 1; j + 1 < m; j++) { { int r = ri[i][j - 1] - 1; int u0 = up[i + 1][j] + 1; int u1 = up[i + 1][r] + 1; int d0 = down[i - 1][j] - 1; int d1 = down[i - 1][r] - 1; rooted[u0][j].push_back({i, r}); rooted[u1][j].push_back({i, r}); rooted[i][j].push_back({d0, r}); rooted[i][j].push_back({d1, r}); } { int l = le[i][j + 1] + 1; int u0 = up[i + 1][l] + 1; int u1 = up[i + 1][j] + 1; int d0 = down[i - 1][l] - 1; int d1 = down[i - 1][j] - 1; rooted[u0][l].push_back({i, j}); rooted[u1][l].push_back({i, j}); rooted[i][l].push_back({d0, j}); rooted[i][l].push_back({d1, j}); } } } int ans = 0; for (int i = 1; i < n; i++) { for (int j = 1; j < m; j++) { sort(all(rooted[i][j])); rooted[i][j].resize(unique(all(rooted[i][j])) - rooted[i][j].begin()); for (auto p : rooted[i][j]) { int i2 = p.first, j2 = p.second; if (i <= i2 && j <= j2 && i2 < n - 1 && j2 < m - 1) { int t = 1; for (int y = j; y <= j2; y++) if (down[i - 1][y] <= i2) t = 0; for (int y = j; y <= j2; y++) if (up[i2 + 1][y] >= i) t = 0; for (int x = i; x <= i2; x++) if (ri[x][j - 1] <= j2) t = 0; for (int x = i; x <= i2; x++) if (le[x][j2 + 1] >= j) t = 0; ans += t; } } } } return ans; }
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