Given a word w, rearrange the letters of w to construct another word s in such a way that s is lexicographic-ally greater than w. In case of multiple possible answers, find the lexicographic-ally smallest one.

Input Format

The first line of input contains t, the number of test cases. Each of the next t lines contains w.

Output Format

For each testcase, output a string lexicographically bigger than w in a separate line. In case of multiple possible answers, print the lexicographically smallest one, and if no answer exists, print no answer.

Constraints

1≤t≤105

1≤|w|≤100

w will contain only lower-case English letters and its length will not exceed 100.