Is Sum of Two Integers easy or hard?

The problem is rated Medium because the logic is simple once you know the XOR and carry trick, but it requires understanding binary addition and two's complement. Many candidates struggle if they have not practiced bit manipulation problems.

How to solve Sum of Two Integers in O(1)?

Use bitwise operations to simulate binary addition. Compute the partial sum using a XOR b, compute the carry using (a AND b) shifted left by one, and repeat until the carry becomes zero. Since the number of bits is fixed, the number of iterations is constant.

What is the best approach for Sum of Two Integers?

The standard solution uses bit manipulation with XOR and AND operations. XOR computes the partial sum without carry, while AND followed by a left shift computes the carry. Repeating this process until the carry becomes zero produces the final sum in O(1) time and O(1) space.

What data structure is used in Sum of Two Integers?

No external data structure is required. The solution relies purely on bitwise operators such as XOR, AND, and left shift to manipulate the binary representation of integers.

What is the time complexity of Sum of Two Integers?

The optimal solution runs in O(1) time because integers have a fixed number of bits (usually 32). The algorithm performs carry propagation using bit operations, which can occur at most once per bit position.

Sum of Two Integers Python or Java solution approach?

Both Python and Java implementations use the same bitwise logic: compute XOR for the partial sum and AND plus left shift for the carry. Java typically handles 32-bit integers directly, while Python solutions often mask intermediate results to simulate 32-bit two's complement behavior.

Is Sum of Two Integers asked at Google, Amazon, or Meta?

Sum of Two Integers is a common interview problem at companies that test low-level problem solving and bit manipulation. Variations of this question have appeared in interviews at Google, Amazon, and Meta because it checks understanding of binary arithmetic and two's complement representation.