""" A rectangle is represented as a list [x1, y1, x2, y2], where (x1, y1) are the coordinates of its bottom-left corner, and (x2, y2) are the coordinates of its top-right corner.

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, return whether they overlap.

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
Notes:

Both rectangles rec1 and rec2 are lists of 4 integers.
All coordinates in rectangles will be between -10^9 and 10^9. """

# use the way judge two intervals are overlaping to judge rectangles overlaping
class Solution:
    def isRectangleOverlap(self, rec1: List[int], rec2: List[int]) -> bool:
        x1, y1, x2, y2 = rec1
        x21, y21, x22, y22 = rec2
        return any(x21 < p[0] < x22 and y21 < p[1] < y22 for p in [(x1, y1), (x2, y2), (x1, y2), (x2, y1)]) or any(x1 < p[0] < x2 and y1 < p[1] < y2 for p in [(x21, y21), (x22, y22), (x21, y22), (x22, y21)])
    