#include "sphinx.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
#define big(x) ((int)(x.size()))
using namespace std;
const int MOD = 1e9+7, LIM = 1e6+1, inf = 2e9;
vi edges[LIM];
vi vis(LIM,0);
void dfs(int node,int b1,int b2) {
vis[node] = 1;
for (auto it : edges[node]) {
if (it == b1 || it == b2) continue;
if (vis[it]) continue;
dfs(it,b1,b2);
}
}
vector<signed> find_colours(signed N, vector<signed> X, vector<signed> Y) {
int M = X.size();
for (int i = 0;i<M;i++) {
edges[X[i]].push_back(Y[i]);
edges[Y[i]].push_back(X[i]);
}
vector<signed> color(N);
vector<signed> orig(N,-1);
for (int i = 0;i<N;i++) {
int useit = edges[i][0];
orig.assign(N,N);
vis.assign(N,0);
orig[i] = -1;
orig[useit] = -1;
int comp = 0;
for (int j = 0;j<N;j++) {
if (orig[j] == N && !vis[j]) {
comp++;
dfs(j,i,useit);
}
}
for (int j = 0;j<N;j++) {
orig[useit] = j;
int y = perform_experiment(orig);
if (y-comp == 1) {
color[i] = j;
break;
}
}
}
return color;
}
