#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;
vector<signed> find_colours(signed N, vector<signed> X, vector<signed> Y) {
vector<signed> color(N);
vector<signed> orig(N);
vi theshit;
int ctr = 0;
for (int i = 0;i<N;i++) {
int l = 0;
int r = big(theshit);
while (l<=r) {
int m = (l+r) >> 1;
vector<signed> orig(N,N);
for (int j = 0;j<m;j++) orig[theshit[j]] = -1;
orig[i] = -1;
int y = perform_experiment(orig);
if (y-(m+1 != N) == m+1) l = m+1;
else r = m-1;
}
if (r == big(theshit)) theshit.push_back(i),color[i] = ctr++;
else color[i] = color[theshit[r]];
}
return color;
}
