Palindrome Counting

Count the number of palindromes that exist in a particular string. Duplicates are allowed so long as they cover distinct intervals of the string. Empty strings do not count towards this total.

Example 1:

Input: abab

Output: 6


The following intervals are palindromes(0-indexed), [0,0],[1,1],[2,2],[3,3],[0,2],[1,3]

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1  >>> a = [1, 2, 3]
2  >>> a[-1]
3  3

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