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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: x-shadows [0,2] and [1,3] overlap over [1,2]; y-shadows [0,2] and [1,3] overlap over [1,2]. Both axes overlap, so the rectangles share a region of positive area.
Example 2
Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1]
Output: false
Explanation: The rectangles only touch along the line x = 1. The shared region has zero area, so they do not overlap.
Example 3
Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3]
Output: false
Explanation: rec2 starts at x = 2 and y = 2, beyond where rec1 ends (x = 1, y = 1). They share no area at all.
Two axis-aligned rectangles overlap with positive area exactly when their shadows overlap on BOTH the x-axis and the y-axis at the same time.
Run checks all cases above. Submit evaluates all test cases.