Given two non-negative integers represented as strings, return the sum of the two numbers as a string. Compute the result by simulating digit-by-digit addition rather than converting the entire strings to a numeric type. Return null if either input is null.

Examples:

Input: num1 = '11', num2 = '22' Output: '33' Explanation: 11 + 22 = 33 Input: num1 = '456', num2 = '77' Output: '533' Explanation: 456 + 77 = 533, with carrying required Input: num1 = '1', num2 = '999' Output: '1000' Explanation: 1 + 999 = 1000, result has more digits than either input Input: num1 = '0', num2 = '0' Output: '0' Explanation: Zero plus zero is zero Input: num1 = null, num2 = '5' Output: null Explanation: Null input returns null
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