N teams participate in a championship. It consists of two contests; each of the teams participates in both. Each contest has its own rating. Then the final rating is made. If for some M (1≤ M≤ N) the sets of first M teams in both ratings are the same, then this set is the set of the first M teams in the final rating. Teams whose relative order cannot be determined using this rule are placed in alphabetical order.

You are given the contests' ratings. Your task is to generate the final rating.

The first line of the input contains an integer N (1≤ N≤ 50000). The two ratings follow. Each of the ratings consists on N lines, each of which contains a team's name, being a string of at most 20 lowercase Latin letters and digits.

Output the final rating in the same format as in the input.

sample input	sample output
6 spbifmo1 msu1 msu2 permsu nsu1 nnsu spbifmo1 msu1 permsu msu2 nnsu nsu1	spbifmo1 msu1 msu2 permsu nnsu nsu1

Novosibirsk SU Contest #2, by Novosibirsk Team #1