HZNUOJ

Evil Straw Warts Live

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

Description

A palindrome is a string of symbols that is equal to itself when reversed. Given an input string, not necessarily a palindrome, compute the number of swaps necessary to transform the string into a palindrome. By swap we mean reversing the order of two adjacent symbols. For example, the string "mamad" may be transformed into the palindrome "madam" with 3 swaps:

The first line of input gives n, the number of test cases. For each test case, one line of input follows, containing a string of up to 100 lowercase letters. Output consists of one line per test case. This line will contain the number of swaps, or "Impossible" if it is not possible to transform the input to a palindrome.

Input

Please Input Input Here

Output

Please Input Output Here

Samples

input
3 mamad asflkj aabb
output
3 Impossible 2