D. Palindrome Degreetime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputString s of length n is called k-palindrome, if it is a palindrome itself, and its prefix and suffix of length  are (k - 1)-palindromes. By definition, any string (even empty) is 0-palindrome.Let's call the palindrome degree of string s such a maximum number k, for which s is k-palindrome. For example, "abaaba" has degree equals to 3.You are given a string. Your task is to find the sum of the palindrome degrees of all its prefixes.InputThe first line of the input data contains a non-empty string, consisting of Latin letters and digits. The length of the string does not exceed 5·106. The string is case-sensitive.OutputOutput the only number — the sum of the polindrome degrees of all the string's prefixes.ExamplesInputa2AOutput1InputabacabaOutput6
Inputa2A
Output1
['hashing', 'strings', '*2200']