Input: coords = [[1,1],[1,2],[3,2],[3,3]]
\n\nOutput: 2
\n\nExplanation:
\n\n![](\"https://assets.leetcode.com/uploads/2025/04/19/image-20250420010047-1.png\")
The triangle shown in the image has a base 1 and height 2. Hence its area is 1/2 * base * height = 1.
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.
\n\nNote that a triangle cannot have zero area.
\n\n\n
Example 1:
\n\nInput: coords = [[1,1],[1,2],[3,2],[3,3]]
\n\nOutput: 2
\n\nExplanation:
\n\n
The triangle shown in the image has a base 1 and height 2. Hence its area is 1/2 * base * height = 1.
Example 2:
\n\nInput: coords = [[1,1],[2,2],[3,3]]
\n\nOutput: -1
\n\nExplanation:
\n\nThe 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.
\n
Constraints:
\n\n1 <= n == coords.length <= 1051 <= coords[i][0], coords[i][1] <= 106coords[i] are unique.给你一个二维数组 coords，大小为 n x 2，表示一个无限笛卡尔平面上 n 个点的坐标。
找出一个 最大 三角形的 两倍 面积，其中三角形的三个顶点来自 coords 中的任意三个点，并且该三角形至少有一条边与 x 轴或 y 轴平行。严格地说，如果该三角形的最大面积为 A，则返回 2 * A。
如果不存在这样的三角形，返回 -1。
\n\n注意，三角形的面积 不能 为零。
\n\n\n\n
示例 1：
\n\n输入： coords = [[1,1],[1,2],[3,2],[3,3]]
\n\n输出： 2
\n\n解释：
\n\n
图中的三角形的底边为 1，高为 2。因此，它的面积为 1/2 * 底边 * 高 = 1。
示例 2：
\n\n输入： coords = [[1,1],[2,2],[3,3]]
\n\n输出： -1
\n\n解释：
\n\n唯一可能的三角形的顶点是 (1, 1)、(2, 2) 和 (3, 3)。它的任意边都不与 x 轴或 y 轴平行。
\n\n
提示：
\n\n1 <= n == coords.length <= 1051 <= coords[i][0], coords[i][1] <= 106coords[i] 都是 唯一 的。area * 2 = base * height",
"Let the base be parallel to the x‑axis or y‑axis",
"Sort to find the maximum base for each fixed x (or y), then the maximum height comes from the extreme values of the other coordinate."
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