3588. Find Maximum Area of a Triangle
Asked by 2 companies
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You are given a 2D array coords of size n x 2, representing the coordinates of n points in an infinite Cartesian plane.
Find twice the maximum area of a triangle with its corners at any three elements from coords, such that at least one side of this triangle is parallel to the x-axis or y-axis. Formally, if the maximum area of such a triangle is A, return 2 * A.
If no such triangle exists, return -1.
Note that a triangle cannot have zero area.
Example 1:
Input: coords = [[1,1],[1,2],[3,2],[3,3]]
Output: 2
Explanation:
The triangle shown in the image has a base 1 and height 2. Hence its area is 1/2 * base * height = 1.
Example 2:
Input: coords = [[1,1],[2,2],[3,3]]
Output: -1
Explanation:
The only possible triangle has corners (1, 1), (2, 2), and (3, 3). None of its sides are parallel to the x-axis or the y-axis.
Constraints:
1 <= n == coords.length <= 1051 <= coords[i][0], coords[i][1] <= 106- All
coords[i]are unique.
Hints
Hint 1
area * 2 = base * heightHint 2
Hint 3
x (or y), then the maximum height comes from the extreme values of the other coordinate.