"""
or a non-negative integer X, the array-form of X is an array of its digits in left to right order.  For example, if X = 1231, then the array form is [1,2,3,1].

Given the array-form A of a non-negative integer X, return the array-form of the integer X+K.

 

Example 1:

Input: A = [1,2,0,0], K = 34
Output: [1,2,3,4]
Explanation: 1200 + 34 = 1234
Example 2:

Input: A = [2,7,4], K = 181
Output: [4,5,5]
Explanation: 274 + 181 = 455
Example 3:

Input: A = [2,1,5], K = 806
Output: [1,0,2,1]
Explanation: 215 + 806 = 1021
Example 4:

Input: A = [9,9,9,9,9,9,9,9,9,9], K = 1
Output: [1,0,0,0,0,0,0,0,0,0,0]
Explanation: 9999999999 + 1 = 10000000000
 

Note：

1 <= A.length <= 10000
0 <= A[i] <= 9
0 <= K <= 10000
If A.length > 1, then A[0] != 0


"""

class Solution(object):
    def addToArrayForm(self, A, K):
        """
        :type A: List[int]
        :type K: int
        :rtype: List[int]
        """
        
        # change the array into a string
        s = ''.join(str(element) for element in A) 
        s = int(s)
        s += K
        
        if s == 0:
            return [0]
        # allocate a new array
        B = []
        while s != 0:
            modulus = s % 10
            B.append(modulus)
            s = s //10
        
        return reversed(B)
      
      # Time complexity:O(n)
      # Space complexity:O(n)
      
