#include "worldmap.h"
#include <cassert>
#include <queue>
#include <iostream>
std::vector<std::pair<int, int>> spanning_tree(std::vector<std::vector<int>>& adj) {
	std::vector<bool> vis(adj.size(), false);
	std::vector<std::pair<int, int>> edges;
	std::queue<int> q;
	q.push(1);
	vis[1] = true;
	while (!q.empty()) {
		int node = q.front();
		q.pop();
		for (int dest : adj[node]) {
			if (!vis[dest]) {
				vis[dest] = true;
				edges.push_back({node, dest});
				q.push(dest);
			}
		}
	}
	return edges;
}
void dfs(int node, std::vector<std::vector<int>>& adj, std::vector<bool>& vis, std::vector<int>& order) {
	vis[node] = true;
	order.push_back(node);
	for (int dest : adj[node]) {
		if (!vis[dest]) {
			dfs(dest, adj, vis, order);
			order.push_back(node);
		}
	}
}
std::vector<std::vector<int>> create_map(int N, int M, std::vector<int> A, std::vector<int> B) {
	assert(M == N-1);
	std::vector<std::vector<int>> adj(N+1, std::vector<int>());
	std::vector<std::pair<int, int>> tree_edges = spanning_tree(adj);
	for (auto &edge : tree_edges) {
		adj[edge.first].push_back(edge.second);
		adj[edge.second].push_back(edge.first);
	}
	std::vector<bool> vis(N+1, false);
	std::vector<int> order;
	dfs(1, adj, vis, order);
	int sz = order.size();
	std::vector<std::vector<int>> ans(sz, std::vector<int>(sz));
	for (int i = 0; i < sz; i++) {
		for (int j = 0; j < sz; j++) {
			ans[i][j] = order[i];
		}
	}
	return ans;
}
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