#include <bits/stdc++.h>
#define ios ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define file(s) if (fopen(s".in", "r")) freopen(s".in", "r", stdin), freopen(s".out", "w", stdout)
#define all(a) a.begin() , a.end()
#define F first
#define S second
using namespace std;
using ll = long long;
const ll N = 2e5+5 , inf = 2e9 + 7;
const ll INF = 1e18 , mod = 1e9+7;
int perform_experiment(vector<int> E);
int n , was[N];
vector<int> g[N];
vector<int> G;
void get(int a , int b){
vector<int> E(n , n);
E[a] = -1; E[b] = -1;
int y = perform_experiment(E);
E[a] = 0; E[b] = 0;
int x = perform_experiment(E);
if(x == y){
if(G[a] != -1){
G[b] = G[a];
return;
}
for(int i = 0; i < n; i++){
vector<int> E(n, n);
E[a] = i;
E[b] = -1;
int x = perform_experiment(E);
if(x == y){
G[a] = G[b] = i;
return;
}
}
} else {
for(int i = 0; i < n; i++){
vector<int> E(n, n);
E[a] = i;
E[b] = -1;
int x = perform_experiment(E);
if(x == y){
G[b] = i;
return;
}
}
}
}
void dfs(int v, int p){
was[v] = 1;
for(int to : g[v]){
if(G[to] == -1) get(v,to);
if(G[v] == -1) get(to,v);
if(was[to] == 0) dfs(to,v);
}
}
vector<int> find_colours(int N, vector<int> X, vector<int> Y) {
n = N;
for(int i = 1; i <= n; i++) G.push_back(-1);
for(int i = 0; i < X.size(); i++){
g[X[i]].push_back(Y[i]);
g[Y[i]].push_back(X[i]);
}
for(int i = 0; i < n; i++){
if(was[i] == 0){
dfs(i,-1);
}
}
return G;
}
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