A palindrome is a string that reads the same from left to right as it does from right to left, ignoring spaces. We are building a machine that makes the best palindromes in the world and we need you to make a function that calculates the number of possible results before trying it for the first time.
You will be given a String words and an int k. Each palindrome generated by the machine will be a single space separated list of words, without leading or trailing spaces, that contains at most k characters (including spaces). Each word is an element of words, and each word can be used zero or more times in each palindrome. Return the number of different palindromes that can be generated by the machine modulo 835454957.