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Largest Triangle Area

Easy

Provided an array of points on the X-Y plane points where points[i] = [x i, y i ], produce the area of the largest triangle that can be formed by any three different points. Answers within 10^-5 of the actual answer will be accepted.

Example 1

Original illustrative diagram 1 for Largest Triangle Area

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

Output: 2.00000

Explanation: The five points are shown in the above figure. The red triangle is the largest.

Example 2

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

Output: 0.50000

Constraints

  • 3 <= points.length <= 50
  • -50 <= x i, y i <= 50
  • All the given points are unique.

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