PALINDROME SORTING | Code vita 2017


Problem Description:

A palindrome is a word, phrase, or sequence that reads the same backwards as forwards. Given a palindrome write a program to print the sorted list of all palindromes that can be constructed from the alphabets of the given palindrome. All palindromes should start in a newline.

Input Format:

The first line, an integer T, indicating the number of test cases
T lines each containing one string (palindrome)

Output Format:

For each test case, one line indicating the Test case number
The next lines containing a sorted list of all palindromes constructed from the given palindrome of the ith test case

Constraints:

T ≤ 10

Example 1

Input 

1
NITIN

Output 

INTNI
NITIN

Explanation 

There are only two palindromes that can be constructed from NITIN

Example 2

Input 

1
ABCDCBA

Output 

ABCDCBA
ACBDBCA
BACDCAB
BCADACB
CABDBAC
CBADABC

Explanation 
Since there is only one D, it can only be the middle letter in the palindrome. The remaining lettere A, B, C can be arranged in 6 possible ways and each way gives rise to a palindrome.


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