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Rectangle Overlap

Problem Statement​

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.

Leetcode Link

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.

Code​

Python Code

class Solution:
    def isRectangleOverlap(self, rec1, rec2):
        """
        :type rec1: List[int]
        :type rec2: List[int]
        :rtype: bool
        """
        width = min(rec1[2], rec2[2]) - max(rec1[0], rec2[0])
        height = min(rec1[3], rec2[3]) - max(rec1[1], rec2[1])
        return True if width > 0 and height > 0 else False