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Given an array points where points[i] = [xi, yi] represents a point on the X-Y plane, return true if these points are a boomerang.

A boomerang is a set of three points that are all distinct and not in a straight line.

 

Example 1:

Input: points = [[1,1],[2,3],[3,2]]
Output: true

Example 2:

Input: points = [[1,1],[2,2],[3,3]]
Output: false

 

Constraints:

  • points.length == 3
  • points[i].length == 2
  • 0 <= xi, yi <= 100

Related Topics

[Geometry] [Math]

Hints

Hint 1 3 points form a boomerang if and only if the triangle formed from them has non-zero area.