#include "sphinx.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> find_colours(int n, vector<int> x, vector<int> y) {
    vector<int>e(n,n);
    vector<int>ans(n,-1);
    int m = x.size();
    //line case
    int curr = 0;
    for(int i = 0;i<n;i++){
        int lo = i;
        int hi = n-1;
        while(lo<hi){
            fill(e.begin(),e.end(),n);
            int mid = (lo+hi+1)/2;
            fill(e.begin()+i,e.begin()+mid+1,-1);
            int a = perform_experiment(e);
            if(i==0&&mid==n-1){
                if(a==1){
                    lo=mid;
                }
                else{
                    hi=mid-1;
                }
            }
            else if(i==0||mid==n-1){
                if(a==2){
                    lo=mid;
                }
                else{
                    hi=mid-1;
                }
            }
            else{
                if(a==3){
                    lo=mid;
                }
                else{
                    hi=mid-1;
                }
            }
        }
        fill(ans.begin()+i,ans.begin()+lo+1,curr);
        curr++;
        i=lo;
    }
    return ans;
}
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