Submission #1320113

#TimeUsernameProblemLanguageResultExecution timeMemory
1320113nicolo_010Connecting Supertrees (IOI20_supertrees)C++20
21 / 100
100 ms22164 KiB
#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;

struct DSU {
	vector<int> rank, parent;
	DSU(int n) {
		rank.assign(n, 1);
		parent.resize(n);
		for (int i=0; i<n; i++) {
			parent[i] = i;
		}
	}
	int find(int n) {
		return (n == parent[n] ? n : parent[n] = find(parent[n]));
	}
	void unite(int n1, int n2) {
		int p1 = find(n1);
		int p2 = find(n2);
		rank[p1] += rank[p2];
		parent[p2] = p1;
	}
};

int construct(std::vector<std::vector<int>> p) {
	int n = p.size();
	vector<vector<int>> ans(n, vector<int>(n, 0));
	bool can = true;
	for (int i=0; i<n; i++) {
		for (int j=0; j<n; j++) {
			if (p[i][j] != p[j][i]) can = false;
		}
	}
	if (!can) {
		return 0;
	}
	DSU dsu1(n);
	DSU dsu2(n);
	for (int i=0; i<n; i++) {
		for (int j=0; j<n; j++) {
			if (p[i][j] == 1) dsu1.unite(i, j);
			if (p[i][j] == 2) dsu2.unite(i, j);
		}
	}
	//Unir 1-componente
	for (int i=0; i<n; i++) {
		int pi = dsu1.find(i);
		if (pi==i) {
			vector<int> cmp = {i};
			for (int j=0; j<n; j++) {
				if (j==i) continue;
				int pj = dsu1.find(j);
				if (pj == i) {
					cmp.push_back(j);
				}
			}
			for (auto x : cmp) {
				ans[i][x] = ans[x][i] = 1;
			}
			for (auto j1 : cmp) {
				for (auto j2 : cmp) {
					if (p[j1][j2] == p[j2][j1] && p[j1][j2] == 0) {
						return 0;
					}
				}
			}
		}
	}
	//Unir 2-componentes
	for (int i=0; i<n; i++) {
		int pi = dsu2.find(i);
		if (pi==i) {
			vector<int> cmp = {i};
			for (int j=0; j<n; j++) {
				if (j==i) continue;
				int pj = dsu2.find(j);
				if (pj == i) {
					cmp.push_back(j);
				}
			}
			int m = cmp.size();
			vector<bool> vis(m, false);
			int u = cmp[0];
			for (auto x : cmp) {
				for (auto y : cmp) {
					if (x == y) continue;
					if (p[x][y] == 1) {
						u = x;
						vis[x] = vis[y] = true;
					}
				}
			}
			set<int> s;
			for (auto x : cmp) {
				if (!vis[x]) {
					s.insert(x);
				}
			}
			s.insert(u);
			vector<int> a(s.begin(), s.end());
			m = a.size();
			for (int j=0; j<m; j++) {
				int u = a[j];
				int v = a[(j+1)%m];
				ans[u][v] = ans[v][u] = 1;
			}
			for (auto x : cmp) {
				for (auto y : cmp) {
					if (p[x][y] == 0) return 0;
				}
			}
			if (cmp.size()==2) return 0;
		}
	}
	for (int i=0; i<n; i++) {
		ans[i][i] = 0;
	}
	build(ans);
	return 1;
}
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...