#include "scales.h"
#include <bits/stdc++.h>
using namespace std;
void init(int T) {
/* ... */
}
bool good[720];
int l[20][3], h[20][3], m[20][3], g[60][3];
vector<int> v = {1, 2, 3, 4, 5, 6}, v2 = {1, 2, 3, 4, 5, 6};
void answer(int W[]);
int lightest(int a, int b, int c) {
int x = v[a], y = v[b], z = v[c];
int ans = min(x, min(y, z));
if(ans == x) return a;
if(ans == y) return b;
if(ans == z) return c;
return 69;
}
int heaviest(int a, int b, int c) {
int x = v[a], y = v[b], z = v[c];
int ans = max(x, max(y, z));
if(ans == x) return a;
if(ans == y) return b;
if(ans == z) return c;
return 69;
}
int mediaest(int a, int b, int c) {
int x = v[a], y = v[b], z = v[c];
int ans = x + y + z - min(x, min(y, z)) - max(x, max(y, z));
if(ans == x) return a;
if(ans == y) return b;
if(ans == z) return c;
return 69;
}
int getnext(int a, int b, int c, int d) {
int x = v[a], y = v[b], z = v[c], w = v[d];
if(w > x && w > y && w > z) return lightest(a, b, c);
if(w < x && w < y && w < z) return lightest(a, b, c);
if(w > v[mediaest(a, b, c)]) return heaviest(a, b, c);
return mediaest(a, b, c);
}
void orderCoins() {
for(int i = 0; i < 720; i++) good[i] = true;
for(int z = 0; z < 7; z++) {
int ggg = -1;
for(int y = 0; y < 3; y++) {
for(int k = 0; k < 20; k++) l[k][y] = h[k][y] = m[k][y] = g[k][y] = 0;
for(int k = 20; k < 60; k++) g[k][y] = 0;
}
do {
ggg++;
if(!good[ggg]) continue;
// cout << ggg << ' ';
int y = 0;
for(int i = 0; i < 4; i++) {
for(int j = i+1; j < 5; j++) {
for(int k = j+1; k < 6; k++) {
int ll = lightest(i, j, k);
if(ll == i) l[y][0]++;
if(ll == j) l[y][1]++;
if(ll == k) l[y][2]++;
int hh = heaviest(i, j, k);
if(hh == i) h[y][0]++;
if(hh == j) h[y][1]++;
if(hh == k) h[y][2]++;
int mm = mediaest(i, j, k);
if(mm == i) m[y][0]++;
if(mm == j) m[y][1]++;
if(mm == k) m[y][2]++;
int x = 0;
for(int w = 0; w < 6; w++) {
if(w == i || w == j || w == k) continue;
int gg = getnext(i, j, k, w);
if(gg == i) g[3*y+x][0]++;
if(gg == j) g[3*y+x][1]++;
if(gg == k) g[3*y+x][2]++;
x++;
}
y++;
}
}
}
} while(next_permutation(v.begin(), v.end()));
// cout << '\n';
int best = 999, thebest = -1;
for(int i = 0; i < 20; i++) {
int ll = max(l[i][0], max(l[i][1], l[i][2]));
if(ll <= best) {
best = ll;
thebest = i;
}
}
for(int i = 0; i < 20; i++) {
int hh = max(h[i][0], max(h[i][1], h[i][2]));
if(hh <= best) {
best = hh;
thebest = 20+i;
}
}
for(int i = 0; i < 20; i++) {
int mm = max(m[i][0], max(m[i][1], m[i][2]));
if(mm <= best) {
best = mm;
thebest = 40+i;
}
}
for(int i = 0; i < 60; i++) {
int gg = max(g[i][0], max(g[i][1], g[i][2]));
if(gg <= best) {
best = gg;
thebest = 60 + i;
}
}
// cout << best << ' ' << thebest << '\n';
if(thebest < 20) {
ggg = 0;
for(int i = 0; i < 4; i++) {
for(int j = i+1; j < 5; j++) {
for(int k = j+1; k < 6; k++) {
if(ggg == thebest) {
v.swap(v2);
int ax = getLightest(i+1, j+1, k+1) - 1, gg = -1;
// cout << "Ax " << ax << '\n';
do {
gg++;
if(!good[gg]) continue;
if(lightest(i, j, k) == ax) good[gg] = true;
else {
// cout << "Yeeting " << gg << ": " << v[i] << ' ' << v[j] << ' ' << v[k] << '\n';
good[gg] = false;
}
} while(next_permutation(v.begin(), v.end()));
v.swap(v2);
}
ggg++;
// cout << "Gee " << ggg << '\n';
}
}
}
}
else if(thebest < 40) {
thebest -= 20;
ggg = 0;
for(int i = 0; i < 4; i++) {
for(int j = i+1; j < 5; j++) {
for(int k = j+1; k < 6; k++) {
if(ggg == thebest) {
v.swap(v2);
int ax = getHeaviest(i+1, j+1, k+1) - 1, gg = -1;
do {
gg++;
if(!good[gg]) continue;
if(heaviest(i, j, k) == ax) good[gg] = true;
else good[gg] = false;
} while(next_permutation(v.begin(), v.end()));
v.swap(v2);
}
ggg++;
}
}
}
}
else if(thebest < 60) {
thebest -= 40;
ggg = 0;
for(int i = 0; i < 4; i++) {
for(int j = i+1; j < 5; j++) {
for(int k = j+1; k < 6; k++) {
if(ggg == thebest) {
v.swap(v2);
int ax = getMedian(i+1, j+1, k+1) - 1, gg = -1;
do {
gg++;
if(!good[gg]) continue;
if(mediaest(i, j, k) == ax) good[gg] = true;
else good[gg] = false;
} while(next_permutation(v.begin(), v.end()));
v.swap(v2);
}
ggg++;
}
}
}
}
else {
thebest -= 60;
ggg = 0;
for(int i = 0; i < 4; i++) {
for(int j = i+1; j < 5; j++) {
for(int k = j+1; k < 6; k++) {
for(int w = 0; w < 6; w++) {
if(w == i || w == j || w == k) continue;
if(ggg == thebest) {
v.swap(v2);
int ax = getNextLightest(i+1, j+1, k+1, w+1) - 1, gg = -1;
do {
gg++;
if(!good[gg]) continue;
if(getnext(i, j, k, w) == ax) good[gg] = true;
else good[gg] = false;
} while(next_permutation(v.begin(), v.end()));
v.swap(v2);
}
ggg++;
}
}
}
}
}
int goods = 0;
for(int i = 0; i < 720; i++) {
if(good[i]) goods++;
}
if(goods == 1) break;
}
int W[] = {1, 2, 3, 4, 5, 6};
int ggg = 0;
do {
if(good[ggg]) {
for(int i = 0; i < 6; i++) W[v[i]-1] = i+1;
}
ggg++;
} while(next_permutation(v.begin(), v.end()));
answer(W);
}
