# 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.
Input: rec1 = [0,0,2,2], rec2 = [1,1,3,3] Output: true
Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1] Output: false
Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3] Output: false
Approach 1: use 1D overlap.
# Code (Python)
class Solution: def isRectangleOverlap(self, rec1: List[int], rec2: List[int]) -> bool: return self._linear_overlap([rec1, rec1], [rec2, rec2]) and self._linear_overlap([rec1, rec1], [rec2, rec2]) def _linear_overlap(self, line1, line2): if line1 <= line2: return line1 > line2 else: return self._linear_overlap(line2, line1)
# Code (C++)