A number may not be a palindrome, but its descendant can be. A number's direct child is created by summing each pair of adjacent digits to create the digits of the next number.

For instance, 123312 is not a palindrome, but its next child 363 is, where: 3 = 1 + 2; 6 = 3 + 3; 3 = 1 + 2.

Create a function that returns true if the number itself is a palindrome or any of its descendants down to the first 2 digit number (a 1-digit number is trivially a palindrome).

Examples

PalindromeDescendant(11211230) ➞ false
// 11211230 ➞ 2333 ➞ 56

palindromeDescendant(13001120) ➞ true
// 13001120 ➞ 4022 ➞ 44

PalindromeDescendant(23336014) ➞ true
// 23336014 ➞ 5665

PalindromeDescendant(11) ➞ true
// Number itself is a palindrome.

Notes

Numbers will always have an even number of digits.