#include "worldmap.h"
#include <bits/stdc++.h>
using namespace std;
const int N_MAX = 40 + 11;
vector<int> G[N_MAX];
vector<vector<int>> regulate(vector<vector<int>> board) {
int n = board.size(), m = board[0].size();
int K = max(n, m);
vector ans = vector(K, vector<int>(K));
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i][j] = board[i][j];
}
}
for (int i = 0; i < K; i++) {
for (int j = 0; j < K; j++) {
if (!ans[i][j]) {
if (j > 0 && ans[i][j - 1]) ans[i][j] = ans[i][j - 1];
else if (i > 0 && ans[i - 1][j]) ans[i][j] = ans[i - 1][j];
else assert(false);
}
}
}
// for (int i = 0; i < K; i++) {
// for (int j = 0; j < K; j++) {
// cout << ans[i][j] << ' ';
// }
// cout << '\n';
// }
return ans;
}
vector<int> st;
void dfs(int v, int pa = -1) {
for (int u : G[v]) {
if (u == pa) continue;
st.push_back(u);
dfs(u, v);
st.push_back(v);
}
}
vector<vector<int>> create_map(int N, int M, vector<int> A, vector<int> B) {
vector ans = vector((N - 1) * 2 + 1, vector<int>(1));
for (int i = 1; i <= N; i++) {
G[i].clear();
}
for (int i = 0; i < M; i++) {
G[A[i]].push_back(B[i]);
G[B[i]].push_back(A[i]);
}
st = vector<int>{1}; dfs(1);
// for (auto x : st) cout << x << ' '; cout << endl;
for (int i = 0; i < ans.size(); i++) {
ans[i][0] = st[i];
}
return regulate(ans);
}
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