#include "worldmap.h"
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> create_map(int n, int m, vector<int> A, vector<int> B) {
vector<vector<int>> adj;
adj.resize(n+1,vector<int>{});
for(int i = 0; i < m; ++i) {
adj[A[i]].emplace_back(B[i]);
adj[B[i]].emplace_back(A[i]);
}
if(m == 0){
return vector<vector<int>>{vector<int>{1}};
}
vector<int> row;
vector<bool> vis(n+1,false);
int C = 0 ;
auto dfs = [&](int ind, auto &&dfs) -> void {
vis[ind]=true;
++C;
for(auto &u : adj[ind]) {
if(vis[u] or C==n) continue;
row.emplace_back(ind);
dfs(u,dfs);
}
if(C!=n)row.push_back(ind);
};
dfs(1, dfs);
map<int,int>freq;
int sz = 1;
for(int i = 1; i < row.size();++i){
if(freq[row[i]]){
++sz;
}else{sz+=2;}
++freq[row[i]];
}
vector<vector<int>> ans(sz, vector<int>(sz, 1));
vector<bool> F(n+1,false); int last= 0;
int L = 0;
int lastt = 0;
int par = 1;
if(true){
queue<int> Q;
int u= row[L];
for(auto &v : adj[u]){
Q.push(v);
}
for(int i = 0; i < sz; ++i){
if(i & 1 == par){
ans[i][0] = u;
}else{
ans[i][0] = Q.front();
Q.pop();
}
}
}
for(int i = 1; i < sz; ++i){
int u = row[L];
if(F[u]){
lastt = i;
for(int j = 0; j < sz;++ j){
ans[j][i] = u;
}
continue;
}
if(i==lastt+1){
++L;
int w = row[L-1];
for(int j = 0; j < sz;++ j){
if(i & 1 == par){
ans[j][i] = u;
}else ans[j][i] = w;
}
par ^= 1;
continue;
}
if( i == lastt+2){
queue<int> Q;
for(auto &v : adj[u]){
Q.push(v);
}
for(int j = 0; j < sz; ++j){
if(i & 1 == par){
ans[j][i] = u;
}else{
ans[j][i] = Q.front();
Q.pop();
}
}
F[u] = true;
lastt+=2;
}
}
// for(int i = 0; i < row.size(); ++i) {
// int u = row[i];
// queue<int> Q;
// for(auto &v : adj[u]){
// Q.push(v);
// }
// if(F[u]){
// for(int j = 0; j < sz;++j)ans[j][last]=u;
// ++last;
// }else{
// int p1 = last;
// int p2 = last+1;
// int p3 = last+2;
// for(int j = 0; j < sz; ++j){
// if(j & 1 or Q.empty()){
// ans[j][p1]=ans[j][p2]=ans[j][p3]=u;
// }else{
// ans[j][p1]=ans[j][p3]=u;
// ans[j][p2]=Q.front();
// Q.pop();
// }
// }
// last+=3;
// }
// F[u]=true;
// }
return ans;
}
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