#ifdef NYAOWO
#include "grader.cpp"
#endif
#include "scales.h"
#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
using namespace std;
using LL = long long;
using pii = pair<int, int>;
int W[] = {1, 2, 3, 4, 5, 6};
mt19937_64 rng(48763);
// 0 for lightest, 1 for median, 2 for heaviest
vector<vector<int>> options;
vector<vector<int>> alive;
void init(int T) {
assert(T < 20);
For(i, 0, 5) For(j, i + 1, 5) For(k, j + 1, 5) {
options.push_back({0, i, j, k});
options.push_back({1, i, j, k});
options.push_back({2, i, j, k});
}
}
bool match(const vector<int> &ord, const vector<int> &opt, int res) {
if(opt[0] == 0) {
bool ok = true;
For(i, 1, 3) ok = ok && (ord[opt[i]] >= ord[opt[res]]);
return ok;
}
if(opt[0] == 2) {
bool ok = true;
For(i, 1, 3) ok = ok && (ord[opt[i]] <= ord[opt[res]]);
return ok;
}
if(opt[0] == 1) {
int owo = 0;
For(i, 1, 3) {
int dif = (ord[opt[i]] - ord[opt[res]]);
if(dif < 0) owo |= 1;
if(dif == 0) owo |= 2;
if(dif > 0) owo |= 4;
}
return owo == 7;
}
return false;
}
// how many possibilities remain at most?
int worstmatch(const vector<vector<int>> &ords, const vector<int> &opt) {
int mx = 0;
For(res, 1, 3) {
int cnt = 0;
for(auto &ord:ords) {
if(match(ord, opt, res)) {
cnt++;
}
}
mx = max(mx, cnt);
}
return mx;
}
int best_opt(const vector<vector<int>> &ords) {
int mx = 1000, idx = -1;
For(i, 0, sz(options) - 1) {
int k = worstmatch(ords, options[i]);
if(k < mx) {
mx = k; idx = i;
}
}
// cout << idx << " " << mx << "\n" << flush;
return idx;
}
int make_query(const vector<int> &opt) {
int x = -1;
if(opt[0] == 0) {
x = getLightest(opt[1] + 1, opt[2] + 1, opt[3] + 1);
} else if(opt[0] == 1) {
x = getMedian(opt[1] + 1, opt[2] + 1, opt[3] + 1);
} else if(opt[0] == 2) {
x = getHeaviest(opt[1] + 1, opt[2] + 1, opt[3] + 1);
}
For(i, 1, 3) if(x == opt[i] + 1) return i;
assert(false);
return -1;
}
void remove_impossible(vector<vector<int>> &ords, const vector<int> &opt, int res) {
int ptr = 0;
while(ptr < sz(ords)) {
if(match(ords[ptr], opt, res)) {
ptr++;
} else {
swap(ords[ptr], ords[sz(ords) - 1]);
ords.pop_back();
}
}
}
void orderCoins() {
alive.clear();
int a[6] = {0, 1, 2, 3, 4, 5};
alive.clear();
do {
alive.eb(a, a + 6);
} while(next_permutation(a, a + 6));
while(sz(alive) > 1) {
int k = best_opt(alive);
int r = make_query(options[k]);
remove_impossible(alive, options[k], r);
// cout << sz(alive) << " " << k << " " << r << "\n" << flush;
}
vector<int> &ord = alive[0];
For(i, 0, 5) W[ord[i]] = i + 1;
answer(W);
}
