#include "sphinx.h"
#include<bits/stdc++.h>
using namespace std;
vector<int> find_colours(int N, vector<int> X, vector<int> Y){
vector<int> C(N, -1);
for (int i=0; i<N; i++){
int l = 0, r = N;
while (l < r-1){
int m = (l+r)/2;
int cur = 0;
vector<int> v(N, -1);
for (int j=0; j<N; j++){
if (i == j) continue;
v[j] = cur;
if (cur < m-1) cur++;
}
if (perform_experiment(v) == m) r = m;
else l = m;
}
C[i] = l;
}
return C;
}
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