#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] , check[N] , p[N];
vector<int> g[N];
int gett(int x){
if(p[x] == x) return x;
return p[x] = gett(p[x]);
}
int merge(int a, int b){
a = gett(a);
b = gett(b);
if(a == b) return 0 ;
p[a] = b;
return 1;
}
vector<int> find_colours(int N, vector<int> X, vector<int> Y) {
n = N;
for(int i = 0; i < n; i++) p[i] = i;
for(int i = 0; i < X.size(); i++){
g[X[i]].push_back(Y[i]);
g[Y[i]].push_back(X[i]);
}
for(int v = 0; v < n; v++){
for(int i = 0; i < n; i++) check[i] = 0;
for(int to : g[v]){
if(to > v) continue;
if(gett(v) == gett(to) || check[gett(to)]) continue;
vector<int> E(n , n);
E[v] = -1; E[to] = -1;
int x = perform_experiment(E);
E[v] = 0; E[to] = 0;
int y = perform_experiment(E);
if(x == y) merge(v,to);
else check[gett(to)] = 1;
}
}
vector<int> G;
for(int i = 0; i < n; i++) G.push_back(gett(p[i]));
return G;
}
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