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
Explanation:
The rectangles overlap in the region with corners at (1,1), (2,1), (1,2), and (2,2).
This region has positive area, so the rectangles overlap.
Example 2:
Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1]
Output: false
Explanation:
The rectangles share the vertical edge where x = 1, but they do not have any common interior region.
Since their intersection has zero area, the rectangles do not overlap.
Example 3:
Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3]
Output: false
Explanation:
The rectangles are completely separate. Rectangle rec1 ends at x = 1 and y = 1, while rec2 starts at x = 2 and y = 2.
Therefore, they have no common points and do not overlap.
Constraints:
rec1.length == 4rec2.length == 4-109 <= rec1[i], rec2[i] <= 109rec1 and rec2 represent a valid rectangle with a non-zero area.