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We will call two words and of length *palindromically equivalent*, if
for every pair of numbers and such that , the subword of consisting of letters
from positions to , inclusively, is a palindrome if and only if the subword of consisting of letters from the same set of
positions is a palindrome.

For a given word, your task is to compute the number of words over the English alphabet that are palindromically equivalent to it, modulo .

The first line of the input contains a non-empty word consisting of lowercase letters of the English alphabet, of length not exceeding .

Your program should output a single integer - the number of words palindromically equivalent to the one given in the input, modulo .

For the input data:

abba

the correct result is:

650

**Explanation of the example:** Only words of the form `xyyx` are palindromically equivalent to
`abba`, where `x` and `y` are distinct letters.
The English alphabet contains 26 letters, consequently there are such words in total.

*Task author: Jakub Pachocki.*