HZNUOJ

Catenyms

Tags:
Time Limit:  1 s      Memory Limit:   128 MB
Submission:2     AC:2     Score:99.87

Description

A catenym is a pair of words separated by a period such that the last letter of the first word is the same as the last letter of the second. For example, the following are catenyms:

dog.gopher
gopher.rat
rat.tiger
aloha.aloha
arachnid.dog

A compound catenym is a sequence of three or more words separated by periods such that each adjacent pair of words forms a catenym. For example,

aloha.aloha.arachnid.dog.gopher.rat.tiger

Given a dictionary of lower case words, you are to find a compound catenym that contains each of the words exactly once. The first line of standard input contains

t

, the number of test cases. Each test case begins with 3 <=

n

<= 1000 - the number of words in the dictionary.

n

distinct dictionary words follow; each word is a string of between 1 and 20 lowercase letters on a line by itself. For each test case, output a line giving the lexicographically least compound catenym that contains each dictionary word exactly once. Output "***" if there is no solution.

Samples

input
2 6 aloha arachnid dog gopher rat tiger 3 oak maple elm
output
aloha.arachnid.dog.gopher.rat.tiger ***