#include "worldmap.h"
#include <bits/stdc++.h>
using namespace std;
// #define int long long int
using vi = vector<int>;
using vvi = vector<vi>;
void dfs(int u, vector<bool> &vis, vvi &adj, vi &tour) {
vis[u] = true;
tour.push_back(u);
sort(adj[u].begin(), adj[u].end(), [&](int a, int b) {return adj[a].size() < adj[b].size();});
for (int v : adj[u]) {
if (vis[v]) continue;
dfs(v, vis, adj, tour);
tour.push_back(u);
}
}
vvi create_map(int n, int m, vi a, vi b) {
vvi adj(n+1, vi()); for (int i = 0; i < m; i++) adj[a[i]].push_back(b[i]), adj[b[i]].push_back(a[i]);
vector<bool> vis(n+1, false); vi tour; set<int> seen;
int rt = 1; for (int i = 1; i <= n; i++) if (adj[rt].size() > adj[i].size()) rt = i;
dfs(rt, vis, adj,tour);
int K = 3 * n - 1;
vector<set<pair<int, int>>> diags(2*K-1);
set<pair<int, int>> used;
for (int i = 0; i < K; i++) {
for (int j = 0; j < K; j++) {
int md = i + j;
diags[md].insert({i, j});
}
}
vvi ans(K, vi(K, rt)), dgs(n+1);
int cidx = 0;
for (int i = 0; i < tour.size(); i++) {
dgs[tour[i]].push_back(cidx+1);
for (; cidx < 3 * i + 3; cidx++) {
for (auto &el : diags[cidx]) {
ans[el.first][el.second] = tour[i];
}
}
}
for (int i = 1; i <= n; i++) {
int aidx = 0;
for (auto &gd : dgs[i]) {
for (auto &el : diags[gd]) {
if (aidx >= adj[i].size()) break;
// if (used.count({min(i, adj[i][aidx]), max(i, adj[i][aidx])})) continue;
used.insert({min(i, adj[i][aidx]), max(i, adj[i][aidx])});
ans[el.first][el.second] = adj[i][aidx++];
}
}
}
return ans;
}
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