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ZOJ Problem Set - 2378
Evil Straw Warts Live

Time Limit: 2 Seconds      Memory Limit: 65536 KB

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:

  • swap "ad" to yield "mamda"
  • swap "md" to yield "madma"
  • swap "ma" to yield "madam"

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

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

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.


Sample Input

3
mamad
asflkj
aabb


Sample Output

3
Impossible
2


Source: University of Waterloo Local Contest 2004.09.19
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