836. Rectangle Overlap

An axis-aligned rectangle is represented as a list [x1, y1, x2, y2], where (x1, y1) is the coordinate of its bottom-left corner, and (x2, y2) is the coordinate of its top-right corner. Its top and bottom edges are parallel to the X-axis, and its left and right edges are parallel to the Y-axis.

Two rectangles overlap if the area of their intersection is positive. To be clear, two rectangles that only touch at the corner or edges do not overlap.

Given two axis-aligned rectangles rec1 and rec2, return true if they overlap, otherwise return false.

 

Example 1:

Input: rec1 = [0,0,2,2], rec2 = [1,1,3,3]
Output: true

Example 2:

Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1]
Output: false

Example 3:

Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3]
Output: false

 

Constraints:

  • rect1.length == 4
  • rect2.length == 4
  • -109 <= rec1[i], rec2[i] <= 109
  • rec1[0] <= rec1[2] and rec1[1] <= rec1[3]
  • rec2[0] <= rec2[2] and rec2[1] <= rec2[3]

Rust Solution

struct Solution;

impl Solution {
    fn is_rectangle_overlap(rec1: Vec<i32>, rec2: Vec<i32>) -> bool {
        rec1[2] > rec2[0] && rec1[0] < rec2[2] && rec1[1] < rec2[3] && rec1[3] > rec2[1]
    }
}

#[test]
fn test() {
    let rec1 = vec![0, 0, 2, 2];
    let rec2 = vec![1, 1, 3, 3];
    assert_eq!(Solution::is_rectangle_overlap(rec1, rec2), true);
    let rec1 = vec![0, 0, 1, 1];
    let rec2 = vec![1, 0, 2, 1];
    assert_eq!(Solution::is_rectangle_overlap(rec1, rec2), false);
}

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