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Distinct palindromic substrings
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  Difficulty: Hard   Marks: 8
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Given a string of lowercase ASCII characters, find all distinct continuous palindromic sub-strings of it.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case contains a string.

Output:
Print the count of distinct continuous palindromic sub-strings of it.

Constraints:
1<=T<=10^5
1<=length of string<=10^5

Example:
Input:
2
abaaa
geek

Output:
5
4

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

Contributor: Ayush Govil
Author: Ayush Govil 1
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