963. Minimum Area Rectangle II
Medium
30 Points
Array
Hash Table
Math
Geometry
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.
Examples
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 <= 50points[i].length == 20 <= xi, yi <= 4 * 104All the given points are unique.
963. Minimum Area Rectangle II
Medium
30 Points
Array
Hash Table
Math
Geometry
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.
Examples
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 <= 50points[i].length == 20 <= xi, yi <= 4 * 104All the given points are unique.