#include <iostream>
#include <vector>
#include <string>
using namespace std;
int main() {
int n;
cin >> n;
vector<string> arr;
arr.resize(n);
for (auto& str : arr) {
cin >> str;
}
bool lensort = true, lexsort = true;
for (size_t i = 1; i < arr.size(); i++) {
if (arr[i - 1].size() >= arr[i].size()) {
lensort = false;
break;
}
}
for (size_t i = 1; i < arr.size(); i++) {
if (arr[i - 1] >= arr[i]) {
lexsort = false;
break;
}
}
if (lensort && lexsort) cout << "both" << endl;
else if (!lensort && lexsort) cout << "lexicographically" << endl;
else if (lensort && !lexsort) cout << "lengths" << endl;
else if (!lensort && !lexsort) cout << "none" << endl;
return 0;
}