#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<int> ord(n);
for(int i = 0; i < n; i++){
ord[i] = i+1;
}
int base = publish(ord);
vector<int> inv(n);
for(int i = 2; i <= n; i++){
ord = {i};
for(int y = 1; y <= n; y++){
if(i == y) continue;
ord.push_back(y);
}
int w = base - publish(ord);
inv[i-1] = ((i-1) - w)/2 + w;
}
vector<int> ans(n);
int rn = n-1;
vector<bool> d(n);
for(int y = n-1; y >= 0; y--){
int it = n-1;
while(d[it] || inv[y] > 0){
if(!d[it]){
inv[y]--;
}
it--;
}
ans[it] = y+1;
d[it] = true;
while(d[rn]){
rn--;
if(rn == -1) break;
}
}
// for(int i = 0; i < n; i++){
// cout << ans[i] << " ";
// }cout << "\n";
answer(ans);
}
