#include "art.h"
#include <bits/stdc++.h>
using namespace std;
//
// --- Sample implementation for the task art ---
//
// To compile this program with the sample grader, place:
// art.h art_sample.cpp sample_grader.cpp
// in a single folder, then open the terminal in this directory (right-click onto an empty spot in the directory,
// left click on "Open in terminal") and enter e.g.:
// g++ -std=c++17 art_sample.cpp sample_grader.cpp
// in this folder. This will create a file a.out in the current directory which you can execute from the terminal
// as ./a.out
// See task statement or sample_grader.cpp for the input specification
//
void solve(int N) {
vector<pair<int, int>> ans;
vector<int> f(N + 5);
for(int i = 1; i <= N; i++){
int now = i;
vector<int> v;
for(int j = 1; j <= N; j++){
v.push_back(now);
now++;
if(now > N) now = 1;
}
f[i] = publish(v);
}
for(int i = 2; i <= N; i++){
ans.push_back({abs((N * (N - 1) / 2)- f[i] - (N - 1) * (N - 2) / 2 + f[i - 1]), i - 1});
}
ans.push_back({abs((N * (N - 1) / 2) - f[1] - (N - 1) * (N - 2) / 2 + f[N]), N});
sort(ans.begin(), ans.end());
vector<int> zz;
for(auto [i, j] : ans) zz.push_back(j);
answer(zz);
}
