3024 - Type of Triangle\.

Easy

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:

nums0 + nums1 = 3 + 4 = 7, which is greater than nums2 = 5.

nums0 + nums2 = 3 + 5 = 8, which is greater than nums1 = 4.

nums1 + nums2 = 4 + 5 = 9, which is greater than nums0 = 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