September 14Easy

Rectangle overlap

Math
Geometry

Problem

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

class Solution:
    def isRectangleOverlap(self, rec1: List[int], rec2: List[int]) -> bool:
        bottom1, top1 = (rec1[0], rec1[1]), (rec1[2], rec1[3])
        bottom2, top2 = (rec2[0], rec2[1]), (rec2[2], rec2[3])
        return top2[0] > bottom1[0] and bottom2[0] < top1[0] and top2[1] > bottom1[1] and bottom2[1] < top1[1]