Introduction

In this blog post, we will explore how to solve the LeetCode problem "3024" using AI. LeetCode is a popular platform for preparing for coding interviews, and with the help of AI tools like Chatmagic, we can generate solutions quickly and efficiently - helping you pass the interviews and get the job offer without having to study for months.

Problem Statement

You are given a 0-indexed integer array nums of size 3 which can form the sides of a triangle. A triangle is called equilateral if it has all sides of equal length. A triangle is called isosceles if it has exactly two sides of equal length. A triangle is called scalene if all its sides are of different lengths. Return a string representing the type of triangle that can be formed or "none" if it cannot form a triangle. Example 1: Input: nums = [3,3,3] Output: "equilateral" Explanation: Since all the sides are of equal length, therefore, it will form an equilateral triangle. Example 2: Input: nums = [3,4,5] Output: "scalene" Explanation: nums[0] + nums[1] = 3 + 4 = 7, which is greater than nums[2] = 5. nums[0] + nums[2] = 3 + 5 = 8, which is greater than nums[1] = 4. nums[1] + nums[2] = 4 + 5 = 9, which is greater than nums[0] = 3. Since the sum of the two sides is greater than the third side for all three cases, therefore, it can form a triangle. As all the sides are of different lengths, it will form a scalene triangle. Constraints: nums.length == 3 1 <= nums[i] <= 100

Explanation

Here's the solution:

• Triangle Inequality Theorem: The solution first checks if the given side lengths can form a valid triangle using the triangle inequality theorem (the sum of any two sides must be greater than the third side).
• Type Identification: If it's a valid triangle, the solution identifies the type of triangle based on the equality of sides: equilateral (all equal), isosceles (two equal), or scalene (none equal).

• Efficiency: Short-circuiting logic and direct comparisons are used to optimize the code.

• Runtime Complexity: O(1), Storage Complexity: O(1)

Code

    def triangleType(nums):
    """
    Determines the type of triangle based on the given side lengths.

    Args:
        nums: A list of three integers representing the side lengths of a triangle.

    Returns:
        A string representing the type of triangle: "equilateral", "isosceles",
        "scalene", or "none" if it cannot form a triangle.
    """

    a, b, c = nums[0], nums[1], nums[2]

    if not (a + b > c and a + c > b and b + c > a):
        return "none"

    if a == b == c:
        return "equilateral"
    elif a == b or a == c or b == c:
        return "isosceles"
    else:
        return "scalene"