812. Largest Triangle Area

You have a list of points in the plane. Return the area of the largest triangle that can be formed by any 3 of the points.

Example:
Input: points = [[0,0],[0,1],[1,0],[0,2],[2,0]]
Output: 2
Explanation: 
The five points are show in the figure below. The red triangle is the largest.

Notes:

  • 3 <= points.length <= 50.
  • No points will be duplicated.
  •  -50 <= points[i][j] <= 50.
  • Answers within 10^-6 of the true value will be accepted as correct.

 

812. Largest Triangle Area
struct Solution;

impl Solution {
    fn largest_triangle_area(points: Vec<Vec<i32>>) -> f64 {
        let mut res: f64 = 0f64;
        for i in &points {
            for j in &points {
                for k in &points {
                    let area = (i[0] * j[1] + j[0] * k[1] + k[0] * i[1]
                        - j[0] * i[1]
                        - k[0] * j[1]
                        - i[0] * k[1])
                        .abs();
                    let area = area as f64 / 2f64;
                    res = f64::max(area, res);
                }
            }
        }
        res
    }
}

#[test]
fn test() {
    use assert_approx_eq::assert_approx_eq;
    let points: Vec<Vec<i32>> = vec_vec_i32![[0, 0], [0, 1], [1, 0], [0, 2], [2, 0]];
    assert_approx_eq!(Solution::largest_triangle_area(points), 2f64);
}