You are given a 2D array of axis-aligned rectangles. Each rectangle[i] = [xi1, yi1, xi2, yi2] denotes the ith rectangle where (xi1, yi1) are the coordinates of the bottom-left corner, and (xi2, yi2) are the coordinates of the top-right corner.
Calculate the total area covered by all rectangles in the plane. Any area covered by two or more rectangles should only be counted once.
Return the total area. Since the answer may be too large, return it modulo 109 + 7.
\n
Example 1:
\n![\"\"](\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/06/06/rectangle_area_ii_pic.png\")
\n\nInput: rectangles = [[0,0,2,2],[1,0,2,3],[1,0,3,1]]\nOutput: 6\nExplanation: A total area of 6 is covered by all three rectangales, as illustrated in the picture.\nFrom (1,1) to (2,2), the green and red rectangles overlap.\nFrom (1,0) to (2,3), all three rectangles overlap.\n\n\n
Example 2:
\n\n\nInput: rectangles = [[0,0,1000000000,1000000000]]\nOutput: 49\nExplanation: The answer is 1018 modulo (109 + 7), which is 49.\n\n\n
\n
Constraints:
\n\n1 <= rectangles.length <= 200rectanges[i].length == 40 <= xi1, yi1, xi2, yi2 <= 109Compiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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Python 2.7.12.
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Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms
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Support https://godoc.org/github.com/emirpasic/gods library.
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