Type of Triangle

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
Inputnums = [3,3,3]
Output"equilateral"
Since all the sides are of equal length, it will form an equilateral triangle.
Example 2
Inputnums = [3,4,5]
Output"scalene"
The sum of any two sides is greater than the third side, and all side lengths are different, so it forms a scalene triangle.

Constraints

  • nums.length == 3
  • 1 <= nums[i] <= 100

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