#include<bits/stdc++.h>
using namespace std;
int main(){
int n;
while(cin>>n)
{
vector<string>v;
for(int i=0;i<n;i++)
{
string a;
cin>>a;
v.push_back(a);
}
int flag1=0,flag2=0;
for(int i=1;i<n;i++)
{
if(v[i-1].size()>=v[i].size())
{
flag1=1;
break;
}
}
for(int i=1;i<n;i++)
{
if(v[i-1]>=v[i])
{
flag2=1;
break;
}
}
if(flag1==0&&flag2==0)
cout<<"both"<<endl;
else if(flag1==0)
cout<<"lengths"<<endl;
else if(flag2==0)
cout<<"lexicographically"<<endl;
else cout<<"none"<<endl;
}
return 0;
}
