Anagrams 

You are to write a program that has to generate all possible distinct permutations from a given set of letters.

Example: Given the word "abc", your program should output the words "abc", "acb", "bac", "bca", "cab" and "cba". They should be printed one to a line, with no additional whitespace (other than the trailing newline.)

In the word taken from the input file, some letters may appear more than once. For a given word, your program should not produce the same word more than once, and the words should be output in alphabetically ascending order.

Input

The input file consists of several words. The first line contains a number giving the number of words to follow. Each following line contains one word. A word consists of uppercase or lowercase letters from A to Z. Uppercase and lowercase letters are to be considered different. Each word will consist of 9 or fewer letters.

Output

For each word in the input file, the output file should contain all different words that can be generated with the letters of the given word. The words generated from the same input word should be output in alphabetically ascending order. (Uppercase letters precede lowercase ones.)

Sample Input

2
abc
acba

Sample Output

abc
acb
bac
bca
cab
cba
aabc
aacb
abac
abca
acab
acba
baac
baca
bcaa
caab
caba
cbaa