#include "scales.h"
//#include "graderlib.c"
#include <bits/stdc++.h>
using namespace std;
int id,p[730][7],h[7],in[7];
void perm(int i)
{
if(i==7)
{
id++;
for(int j=1; j<=6; j++)
p[id][h[j]]=j;
return;
}
for(int j=1; j<=6; j++)
{
if(in[j])continue;
in[j]=1;
h[i]=j;
perm(i+1);
in[j]=0;
}
}
map<vector<int>, int> mp;
bool build(vector<int> v,int cnt)
{
if(mp[v]!=0)
{
if(mp[v]==-1)return 0;
return 1;
}
if(v.size()<=1)return 1;
for(int i1=1; i1<=4; i1++)
{
for(int i2=i1+1; i2<=5; i2++)
{
for(int i3=i2+1; i3<=6; i3++)
{
for(int t=0; t<=2; t++)
{
vector<int> v1= {},v2= {},v3= {};
for(int i=0; i<v.size(); i++)
{
int j=v[i];
if(t==0)
{
if(p[j][i1]<p[j][i2]&&p[j][i1]<p[j][i3])v1.push_back(j);
else if(p[j][i2]<p[j][i1]&&p[j][i2]<p[j][i3])v2.push_back(j);
else v3.push_back(j);
}
if(t==1)
{
if(p[j][i1]>p[j][i2]&&p[j][i1]<p[j][i3])v1.push_back(j);
else if(p[j][i1]>p[j][i3]&&p[j][i1]<p[j][i2])v1.push_back(j);
else if(p[j][i2]>p[j][i1]&&p[j][i2]<p[j][i3])v2.push_back(j);
else if(p[j][i2]>p[j][i3]&&p[j][i2]<p[j][i1])v2.push_back(j);
else v3.push_back(j);
}
if(t==2)
{
if(p[j][i1]>p[j][i2]&&p[j][i1]>p[j][i3])v1.push_back(j);
else if(p[j][i2]>p[j][i1]&&p[j][i2]>p[j][i3])v2.push_back(j);
else v3.push_back(j);
}
}
if(v1.size()<=cnt/3&&v2.size()<=cnt/3&&v3.size()<=cnt/3&&build(v1,cnt/3)&&build(v2,cnt/3)&&build(v3,cnt/3))
{
mp[v]=i1*1000+i2*100+i3*10+t;
return 1;
}
}
for(int i4=1; i4<=6; i4++)
{
if(i1==i4||i2==i4||i3==i4)continue;
vector<int> v1= {},v2= {},v3= {};
for(int i=0; i<v.size(); i++)
{
int j=v[i];
int h1=7,h2=7,h3=7;
if(p[j][i1]>p[j][i4])h1=p[j][i1];
if(p[j][i2]>p[j][i4])h2=p[j][i2];
if(p[j][i3]>p[j][i4])h3=p[j][i3];
if(h1+h2+h3==21)
{
if(p[j][i1]<p[j][i2]&&p[j][i1]<p[j][i3])v1.push_back(j);
else if(p[j][i2]<p[j][i1]&&p[j][i2]<p[j][i3])v2.push_back(j);
else v3.push_back(j);
}
else
{
int mn=min(h1,min(h2,h3));
if(mn==h1)v1.push_back(j);
else if(mn==h2)v2.push_back(j);
else v3.push_back(j);
}
}
if(v1.size()<=cnt/3&&v2.size()<=cnt/3&&v3.size()<=cnt/3&&build(v1,cnt/3)&&build(v2,cnt/3)&&build(v3,cnt/3))
{
mp[v]=i4*10000+i1*1000+i2*100+i3*10+3;
return 1;
}
}
}
}
}
mp[v]=-1;
return 0;
}
void init(int T) {}
void orderCoins()
{
perm(1);
vector<int> v;
for(int i=1; i<=id; i++)
v.push_back(i);
build(v,729);
//cout<<mp[v]<<endl;
while(v.size()>1)
{
int i1=mp[v]/1000%10;
int i2=mp[v]/100%10;
int i3=mp[v]/10%10;
int i4=mp[v]/10000;
int t=mp[v]%10;
vector<int> v1= {},v2= {},v3= {};
for(int i=0; i<v.size(); i++)
{
int j=v[i];
if(t==0)
{
if(p[j][i1]<p[j][i2]&&p[j][i1]<p[j][i3])v1.push_back(j);
else if(p[j][i2]<p[j][i1]&&p[j][i2]<p[j][i3])v2.push_back(j);
else v3.push_back(j);
}
else if(t==1)
{
if(p[j][i1]>p[j][i2]&&p[j][i1]<p[j][i3])v1.push_back(j);
else if(p[j][i1]>p[j][i3]&&p[j][i1]<p[j][i2])v1.push_back(j);
else if(p[j][i2]>p[j][i1]&&p[j][i2]<p[j][i3])v2.push_back(j);
else if(p[j][i2]>p[j][i3]&&p[j][i2]<p[j][i1])v2.push_back(j);
else v3.push_back(j);
}
else if(t==2)
{
if(p[j][i1]>p[j][i2]&&p[j][i1]>p[j][i3])v1.push_back(j);
else if(p[j][i2]>p[j][i1]&&p[j][i2]>p[j][i3])v2.push_back(j);
else v3.push_back(j);
}
else
{
int h1=7,h2=7,h3=7;
if(p[j][i1]>p[j][i4])h1=p[j][i1];
if(p[j][i2]>p[j][i4])h2=p[j][i2];
if(p[j][i3]>p[j][i4])h3=p[j][i3];
if(h1+h2+h3==21)
{
if(p[j][i1]<p[j][i2]&&p[j][i1]<p[j][i3])v1.push_back(j);
else if(p[j][i2]<p[j][i1]&&p[j][i2]<p[j][i3])v2.push_back(j);
else v3.push_back(j);
}
else
{
int mn=min(h1,min(h2,h3));
if(mn==h1)v1.push_back(j);
else if(mn==h2)v2.push_back(j);
else v3.push_back(j);
}
}
}
int x;
if(t==0)x=getLightest(i1,i2,i3);
else if(t==1)x=getMedian(i1,i2,i3);
else if(t==2)x=getHeaviest(i1,i2,i3);
else x=getNextLightest(i1,i2,i3,i4);
if(x==i1)v=v1;
else if(x==i2)v=v2;
else v=v3;
}
int ans[6];
for(int i=1;i<=6;i++)
ans[p[v[0]][i]-1]=i;
answer(ans);
}
/*
int main()
{
orderCoins();
return 0;
}
*/
