Submission #1081691

#	Time	Username	Problem	Language	Result	Execution time	Memory
1081691		Elias	Pipes (CEOI15_pipes)	C++17	0 / 100	97 ms	65536 KiB

pipes

#include <bits/stdc++.h>

using namespace std;

int parent[100000];
int depth[100000];
int root[100000];
int union_parent[100000];
vector<vector<int>> children;

int find(int a)
{
	if (union_parent[a] == a)
		return a;
	return union_parent[a] = find(union_parent[a]);
}

bool unite(int a, int b)
{
	a = find(a);
	b = find(b);

	if (a == b)
		return false;

	if (depth[b] > depth[a])
		swap(a, b);

	union_parent[a] = b;
	return true;
}

vector<vector<int>> adj;

int iter = 0;

void dfs_reconstruct(int i, int d, int p, int r)
{
	root[i] = r;
	parent[i] = p;
	depth[i] = d;

	iter++;

	// assert(iter < 10000);

	for (int c : adj[i])
	{
		if (c == p)
			continue;
		dfs_reconstruct(c, d + 1, i, r);
	}
}

signed main()
{
	cin.tie(0);
	ios_base::sync_with_stdio(false);

	int n, m;
	cin >> n >> m;

	children.resize(n);
	adj.resize(n);

	for (int i = 0; i < n; i++)
	{
		parent[i] = root[i] = union_parent[i] = i;
		children[i] = vector<int>{i};
		depth[i] = 1;
	}

	while (m--)
	{
		int a, b;
		cin >> a >> b;

		a--, b--;

		// for (int i = 0; i < n; i++)
		// 	assert(root[i] == root[parent[i]] && root[i] == root[find(i)] && root[i] == root[parent[find(i)]]);

		if (root[a] == root[b])
		{
			a = find(a);
			b = find(b);
			
			while (a != b)
			{
				// assert(root[a] == root[b]);

				if (depth[a] < depth[b])
					swap(a, b);

				// assert(parent[a] != a);

				unite(a, parent[a]);

				a = find(a);
				b = find(b);
			}
		}
		else
		{
			if (children[root[a]].size() < children[root[b]].size())
				swap(a, b);

			vector<pair<int, int>> inserts;

			vector<int> new_nodes;

			for (int i : children[root[b]])
			{
				int p = parent[i];

				new_nodes.push_back(i);

				if (i == p)
					continue;

				inserts.push_back({i, p});
			}

			assert(inserts.size() == new_nodes.size() - 1);

			children[root[b]].clear();

			for (auto [a, b] : inserts)
			{
				adj[a].push_back(b);
				adj[b].push_back(a);
			}

			iter = 0;
			dfs_reconstruct(b, depth[a] + 1, a, root[a]);

			for (int node : new_nodes)
			{
				// assert(root[node] == root[a]);
				children[root[a]].push_back(node);
				if (depth[node] < depth[find(node)])
					union_parent[find(node)] = node;
			}

			for (auto [a, b] : inserts)
			{
				adj[a].clear();
				adj[b].clear();
			}
		}
	}

	for (int i = 0; i < n; i++)
	{
		if (find(i) != find(parent[i]))
			cout << i + 1 << " " << parent[i] + 1 << "\n";
	}
}

• Subtask 1: 0 / 10
• Subtask 2: 0 / 10
• Subtask 3: 0 / 10
• Subtask 4: 0 / 10
• Subtask 5: 0 / 10
• Subtask 6: 0 / 10
• Subtask 7: 0 / 10
• Subtask 8: 0 / 10
• Subtask 9: 0 / 10
• Subtask 10: 0 / 10