You are given a string 'STR' consisting of lowercase English letters. Your task is to return all permutations of the given string in lexicographically increasing order.
String A is lexicographically less than string B, if either A is a prefix of B (and A ≠ B), or there exists such i (1 <= i <= min(|A|, |B|)), that A[i] < B[i], and for any j (1 <= j < i) A[i] = B[i]. Here |A| denotes the length of the string A.
For example :
If the string is “bca”, then its permutations in lexicographically increasing order are { “abc”, “acb”, “bac”, “bca”, “cab”, “cba” }.
Note: Given string contains unique characters.
Input Format :
The first line of input contains a single integer 'T', representing the number of test cases or queries to be run. Then the T test cases follow. The first line and only line of each test case contains a string 'STR' consisting of lowercase English letters.
Output Format :
For every test case, the permutations of the given string are printed in lexicographically increasing order separated by space. The output of each test case is printed in a separate line.
Constraints :
1 <= T <= 5
1 <= |STR| <= 9 Where |STR| is the length of the string.