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Minimum Area Rectangle II

You are given an array of points in the X-Y plane points where points[i] = [xi, yi].

You are given an array of points in the X-Y plane points where points[i] = [xi, yi].

Return the minimum area of any rectangle formed from these points, with sides not necessarily parallel to the X and Y axes. If there is not any such rectangle, return 0.

Answers within 10-5 of the actual answer will be accepted.

Example 1

Input: points = [[1,2],[2,1],[1,0],[0,1]]

Output: 2.00000

Explanation: The minimum area rectangle occurs at [1,2],[2,1],[1,0],[0,1], with an area of 2.

Example 2

Input: points = [[0,1],[2,1],[1,1],[1,0],[2,0]]

Output: 1.00000

Explanation: The minimum area rectangle occurs at [1,0],[1,1],[2,1],[2,0], with an area of 1.

Example 3

Input: points = [[0,3],[1,2],[3,1],[1,3],[2,1]]

Output: 0

Explanation: There is no possible rectangle to form from these points.

Constraints

  • 1 <= points.length <= 50
  • points[i].length == 2
  • 0 <= xi, yi <= 4 * 10^4
  • All the given points are unique.

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