Add Two Integers Without Plus or Minus

# Add Two Integers Without Plus or Minus Given two integers `a` and `b`, return their sum without using the `+` or `-` operators. ### Function `int getSum(int a, int b)` ### Example 1 ```text Input: a = 7, b = -3 Output: 4 ``` ### Example 2 ```text Input: a = -8, b = -5 Output: -13 ``` ### Constraints - `-1000 <= a,b <= 1000`. ### Clarifications The operands may be positive, negative, or zero. Return the integer result; the restriction applies to computing the sum, not to the notation used to describe a negative input. ### What a Strong Answer Covers - Correct results for all sign combinations and zero. - Compliance with the operator restriction. - A correctness argument and the behavior of the chosen language's integer operations. - Time and auxiliary-space bounds. ### Follow-up Questions - Which inputs would you test to cover sign changes and carries across several bit positions? - How would you adapt the approach for a wider signed integer type?