#2235

Easy

auto_awesomeMath-driven solution strategy

LeetCode Problem Workspace

Add Two Integers

This problem asks to return the sum of two integers within a specific range, focusing on math-driven solution strategy.

Problem Statement

You are given two integers, num1 and num2, within the range -100 to 100. Your task is to return their sum.

The solution requires performing a basic addition operation and returning the result, keeping in mind that the integers involved are relatively small (ranging from -100 to 100).

Examples

Example 1

Input: num1 = 12, num2 = 5

Output: 17

num1 is 12, num2 is 5, and their sum is 12 + 5 = 17, so 17 is returned.

Example 2

Input: num1 = -10, num2 = 4

Output: -6

num1 + num2 = -6, so -6 is returned.

Constraints

-100 <= num1, num2 <= 100

Solution Approach

Basic Addition

The simplest approach is to add the two integers directly. Given that Python handles integer addition efficiently, this solution works in constant time and space.

Mathematical Strategy

As this is a math-driven problem, the key is recognizing the simplicity of the operation. Addition of integers within a small range requires no additional complexity, allowing for a straightforward solution.

Edge Case Handling

Consider edge cases where the sum might approach the boundaries of the allowed range (-100 to 100). Since the operation involves small numbers, no special overflow handling is required.

Complexity Analysis

Metric	Value
Time	Depends on the final approach
Space	Depends on the final approach

The time complexity is O(1) since adding two integers is a constant-time operation. The space complexity is also O(1) as no additional space is required beyond the input values.

What Interviewers Usually Probe

The candidate should demonstrate an understanding of basic integer operations.
The candidate may be asked about edge cases and how integer overflow is handled.
The candidate should be able to explain the efficiency of their approach.

Common Pitfalls or Variants

Common pitfalls

Forgetting to handle edge cases such as extreme negative or positive values.
Overcomplicating the solution by introducing unnecessary logic for the addition operation.
Not taking advantage of the simple nature of the problem, leading to overly complex solutions.

Follow-up variants

What if the input numbers are very large? The principle still holds, though overflow might need consideration in some languages.
How would you approach this problem if you had to add more than two integers?
How might this problem change if the range of integers was significantly larger?

FAQ

What is the most efficient way to solve the Add Two Integers problem?

The most efficient way is simply to use direct integer addition, which runs in constant time and space.

What are the edge cases to consider for this problem?

Edge cases involve handling the maximum and minimum possible integer values within the defined range of -100 to 100.

How does this problem relate to math-driven solution strategies?

This problem focuses on applying basic math principles, specifically integer addition, in an efficient and straightforward manner.

Can I optimize my solution for the Add Two Integers problem?

Since the operation is so simple, there is little room for optimization beyond direct addition.

How can GhostInterview assist in preparing for this type of problem?

GhostInterview helps by providing instant feedback and refining your ability to solve math-driven problems quickly and efficiently.

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Solution

Solution 1

#### Python3

1

2

3

class Solution:
    def sum(self, num1: int, num2: int) -> int:
        return num1 + num2

Solution 2

#### Python3

1

2

3

class Solution:
    def sum(self, num1: int, num2: int) -> int:
        return num1 + num2

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