303. Rectangle Overlap

EasyMath

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.

Examples

Input: [0,0,2,2] [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.

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.
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Run checks all cases above. Submit evaluates all test cases.