#include "sphinx.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define fr(i, l, r) for(ll (i) = l; (i) <= r; (i)++)
#define frb(i, r, l) for(ll (i) = r; (i) >= l; (i)--)
#define pb push_back
#define el '\n'
ll const N = 500 + 10;
vector <ll> g[N];
bool used[N];
void dfs(ll v) {
    used[v] = 1;
    for(ll u : g[v]) 
        if(!used[u])
            dfs(u);
}
std::vector<int> find_colours(int N, std::vector<int> X, std::vector<int> Y) {
    fr(i, 0, X.size() - 1) {
        ll u = X[i], v = Y[i];
        g[u].pb(v);
        g[v].pb(u);
    }
    vector <int> ans(N);
    vector <vector <int>> vec;
    vec.pb({0});
    fr(i, 1, N - 1) {
        vector <int> c(N, N);
        fr(j, 0, i)
            c[j] = -1;
        
        ll cnt = vec.size() + (i < N - 1);
        ll res = perform_experiment(c);
        if(res != cnt) {
            vec.pb({int(i)});
            continue;
        }
        ll l = 0, r = vec.size() - 1;
        while(l < r) {
            ll mid = (l + r) / 2;
            // check [l; mid]
            c.assign(N, N);
            fr(j, l, mid)
                for(ll x : vec[j])
                    c[x] = -1;
            c[i] = -1;
            ll cnt = mid - l + 2;
            ll res = perform_experiment(c);
            if(cnt == res) r = mid;
            else l = mid + 1;
        }
        vec[l].pb(i);
    }
    fr(i, 0, vec.size() - 1)
        for(ll x : vec[i])
            ans[x] = i;
    
    return ans;
}
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