Minimum Area Rectangle II

arrayhash tablemath

Problem Statement

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

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
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
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
There is no possible rectangle to form from these points.

Constraints

1 <= points.length <= 50

points[i].length == 2

0 <= x _i , y _i <= 4 * 10 ^4

All the given points are unique .

🤔

Medium

Difficulty

Topic Info

ModuleDSA

CategoryArray

Sub-topicHash Table