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Palindrome Palindrome

Problem code: PALIPALI

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A string is called beautiful if it has the form AArAAr where A is some non-empty string and Ar is the reversed A. You are given a string S composed only of lowercase letters of the English alphabet. Find the number of its beautiful substrings. Equal substrings in different positions are considered different. For example, the string aaaaa has 2 different substrings because we have beautiful substring aaaa in two different positions.

Input

The first line contains a single integer T <= 10, the number of test cases. T test cases follow. The only line of each test case contains a non-empty string composed only of lowercase letters of the English alphabet. The length of the string is not greater than 100000.

Output

For each test case, output a single line containing the number of beautiful substrings of the corresponding string.

Example

Input:
6
aaaa
aaaaa
abbaabba
abbaabb
abaaba
xxyyxxxxyyxx

Output:
1
2
1
0
0
2

Date:2011-03-06
Time limit:3s
Source limit:50000B
Languages:All


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