#include<iostream>

#include<string>

#include<vector>

int main()

{

int n;

std::cin>>n;

std::vector<std::string> strs(n);

bool lengths = true;//是否按照长度排序

bool lexic = true;//是否按照字典序排序

for(int i = 1;i <= n;i++)

std::cin>>strs[i-1];

//判断是否按照长度排序

int stri;//第i个字符串的长度12

int stri1 = 0;//第i-1个字符串的长度

for(int i = 0;i < n;i++)

{

stri = strs[i].size();

if(stri < stri1)

{

lengths = false;

break;

}

stri1 = stri;

}

//判断是否按照字典序排序

for(int i = 1;i < n;i++)

{

std::string::iterator stri1 = strs[i-1].begin();

std::string::iterator stri = strs[i].begin();

while(stri1 < strs[i-1].end() && stri < strs[i].end() && *stri1 == *stri)

++stri,++stri1;

if(stri == strs[i].end() && stri1 != strs[i-1].end())

{

lexic = false;

break;

}

else if(stri1 != strs[i-1].end() && stri != strs[i].end())

{

if(*stri < *stri1)

{

lexic = false;

break;

}

}

}

if(lengths && lexic)

std::cout<<"both";

else if(lengths)

std::cout<<"lengths";

else if(lexic)

std::cout<<"lexicographically";

else

std::cout<<"none";

return 0;

}