#include "sphinx.h"
#include <bits/stdc++.h>
using namespace std;
std::vector<int> find_colours(int N, std::vector<int> X, std::vector<int> Y) {
vector<int> E(N, -1);
vector<int> colors(N, 0);
vector<int> sphinx(N, N);
vector<int> limit(N-1, 3); limit[0]=2; limit[N-2]=2;
for (int i=0; i<N-1; i++) {
E=sphinx; E[i]=(-1); E[i+1]=(-1);
if (N==2) {
if (perform_experiment(E)==1) {
colors[i+1]=colors[i];
} else {
colors[i+1]=colors[i]+1;
}
} else {
if (perform_experiment(E)==limit[i]) {
colors[i+1]=colors[i];
} else {
colors[i+1]=colors[i]+1;
}
}
}
return colors;
}
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