Rectangle overlap

Math Geometry

46.5% acceptance

Feb 22, 2026

2087

483

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.

Solution

Rust

Time O(1)

Space O(1)

LeetCode

solution.rs

/*
 * 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:
 * rec1.length == 4
 * rec2.length == 4
 * -109 <= rec1[i], rec2[i] <= 109
 * rec1 and rec2 represent a valid rectangle with a non-zero area.
 */

impl Solution {
  pub fn is_rectangle_overlap(rec1: Vec<i32>, rec2: Vec<i32>) -> bool {
    // rec = [x1, y1, x2, y2] where (x1,y1) bottom-left, (x2,y2) top-right
    !(rec1[2] <= rec2[0] || rec2[2] <= rec1[0] || rec1[3] <= rec2[1] || rec2[3] <= rec1[1])
  }
}