A regular palindrome is a string of numbers or letters that is the same forward as backward. For example, the string "ABCDEDCBA" is a palindrome because it is the same when the string is read from left to right as when the string is read from right to left.
Now give you a string S, you should count how many palindromes in any consecutive substring of S.

There are several test cases in the input. Each case contains a non-empty string which has no more than 5000 characters.
Proceed to the end of file.

A single line with the number of palindrome substrings for each case.