Number of Boomerangs
You are given n points in the plane that are all distinct, where points[i] = [xi, yi]. A boomerang is a tuple of points (i, j, k) such that the distance between i and j equals the distance between i and k (the order of the tuple matters).
Return the number of boomerangs.
Example 1
Input
points = [[0,0],[1,0],[2,0]]Output
2The two boomerangs are [[1,0],[0,0],[2,0]] and [[1,0],[2,0],[0,0]].
Example 2
Input
points = [[1,1],[2,2],[3,3]]Output
2There are two ordered boomerangs among the three collinear points.
Constraints
- n == points.length
- 1 <= n <= 500
- points[i].length == 2
- -10^4 <= xi, yi <= 10^4
- All the points are unique.