Given a string S, find the longest palindromic substring in S. Substring of string S: S[ i . . . . j ] where 0 ≤ i ≤ j < len(S). Palindrome string: A string which reads the same backwards. More formally, S is palindrome if reverse(S) = S. Incase of conflict, return the substring which occurs first ( with the least starting index ).

NOTE: Required Time Complexity O(n²).

Input:
The first line of input consists number of the test cases. The following T lines consist of a string each.

Output:
In each separate line print the longest palindrome of the string given in the respective test case.

Constraints:
1 ≤ T ≤ 100
1 ≤ Str Length ≤ 10⁴

Example:
Input:
1
aaaabbaa

Output:
aabbaa

** For More Input/Output Examples Use 'Expected Output' option **