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# Longest Palindromic Substring

Problem Description

Given a string A of size N, find and return the longest palindromic substring in A.

Substring of string A is `A[i...j]` where 0 <= i <= j < len(A)

Palindrome string:
A string which reads the same backwards. More formally, A is palindrome if reverse(A) = A.

Incase of conflict, return the substring which occurs first ( with the least starting index).

Problem Constraints

1 <= N <= 6000

Input Format

First and only argument is a string A.

Output Format

Return a string denoting the longest palindromic substring of string A.

Example Input
`A = "aaaabaaa"`

Example Output
`"aaabaaa"`

Example Explanation
`We can see that longest palindromic substring is of length 7 and the string is "aaabaaa".`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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