Perfect Rectangle
Given an array rectangles where rectangles[i] = [xi, yi, ai, bi] represents an axis-aligned rectangle. The bottom-left point of the rectangle is (xi, yi) and the top-right point of it is (ai, bi).
Return true if all the rectangles together form an exact cover of a rectangular region.
Example 1
Input
rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]Output
trueAll 5 rectangles together form an exact cover of a rectangular region.
Example 2
Input
rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]Output
falseThere is a gap between the two rectangular regions.
Constraints
- 1 <= rectangles.length <= 2 * 10^4
- rectangles[i].length == 4
- -10^5 <= xi < ai <= 10^5
- -10^5 <= yi < bi <= 10^5