#include "sphinx.h"
#include <bits/stdc++.h>
using namespace std;
#define sz(x) (int)x.size()
#define all(x) x.begin() , x.end()
vector<int> find_colours(int n, vector<int> x, vector<int> y) {
vector<int>col(n);
if(n <= 0){
for(int i = 0;i<n;i++){
for(int j = 0;j<n;j++){
vector<int>vec(n,j);
vec[i] = -1;
if(perform_experiment(vec) == 1){
col[i] = j;
break;
}
}
}
}
else if(sz(x) == n * (n-1) / 2){
// ilkinin rengini bul
for(int j = 0;j<n;j++){
vector<int>vec(n,j);
vec[0] = -1;
if(perform_experiment(vec) == 1){
col[0] = j;
break;
}
}
map<pair<int,int>,int>mpa;
auto getran = [&](int l , int r , int renk){// bu rangede bu renkten varmi
vector<int>vec(n,n);
for(int i = l;i<=r;i++)vec[i] = -1;
int res1;
if(mpa.count({l,r}))res1 = mpa[{l,r}];
else{
res1 = perform_experiment(vec);
mpa[{l,r}] = res1;
}
for(int i = 0;i<n;i++){
if(vec[i] == n)vec[i] = renk;
}
int res2 = perform_experiment(vec);
// cout << "res1 : " << res1 << " , res2 : " << res2 << endl;
// cout << "getran : " << l << " " << r << " " << renk << " : " << (res2 < res1) << endl;
return res2 < res1;
};
// cout << "flag0" << endl;
for(int i = 0;i<n;i++){
int lst = 1;
while(lst < n and getran(lst,n-1,i)){
int l = lst , r = n-1;
while(l < r){
int mid = (l + r) / 2;
if(getran(l,mid,i))r = mid;
else l = mid+1;
}
col[l] = i;
lst = l+1;
}
}
}
else{
// ilkinin rengini bul
for(int j = 0;j<n;j++){
vector<int>vec(n,j);
vec[0] = -1;
if(perform_experiment(vec) == 1){
col[0] = j;
break;
}
}
// sonuncunun rengini bul
for(int j = 0;j<n;j++){
vector<int>vec(n,j);
vec[n-1] = -1;
if(perform_experiment(vec) == 1){
col[n-1] = j;
break;
}
}
map<array<int,4>,int>mpa;
auto getran = [&](int l , int r , int renk , int odd){// l r araliginda tek/ciftlerde kac tane renk var
if(l == r and (l&1) != (odd&1))return 0;
else if(mpa.count({l,r,renk,odd}))return mpa[{l,r,renk,odd}];
vector<int>vec(n,renk);
int saymaca = 0;
for(int i = l;i<=r;i++){
if((i&1) == (odd&1)){
vec[i] = -1;
saymaca++;
}
}
int ret = saymaca - (perform_experiment(vec) - 1) / 2;
mpa[{l,r,renk,odd}] = ret;
return ret;
};
for(int i = 0;i<2;i++){
for(int j = 0;j<n;j++){
int sayac = 0 , lst = 0;
while(sayac < getran(1,n-2,j,i)){
int l = lst+1 , r = n-2;
while(l < r){
int mid = (l + r) / 2;
if(getran(l,mid,j,i))r = mid;
else l = mid+1;
}
col[l] = j;
sayac++;
lst = l;
}
}
}
}
return col;
}
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