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.
Example 1
Input
rec1 = [0,0,2,2], rec2 = [1,1,3,3]Output
trueThe rectangles intersect with positive area.
Example 2
Input
rec1 = [0,0,1,1], rec2 = [1,0,2,1]Output
falseThe rectangles only touch along an edge, so their intersection area is not positive.
Constraints
- rec1.length == 4
- rec2.length == 4
- -10^9 <= rec1[i], rec2[i] <= 10^9
- rec1 and rec2 represent a valid rectangle with a non-zero area.