We are given a list of (axis-aligned) rectangles. Each rectangle[i] = [x1, y1, x2, y2] , where (x1, y1) are the coordinates of the bottom-left corner, and (x2, y2) are the coordinates of the top-right corner of the ith rectangle.
Find the total area covered by all rectangles in the plane. Since the answer may be too large, return it modulo 10^9 + 7.
Example 1:
Input: [[0,0,2,2],[1,0,2,3],[1,0,3,1]] Output: 6 Explanation: As illustrated in the picture.
Example 2:
Input: [[0,0,1000000000,1000000000]] Output: 49 Explanation: The answer is 10^18 modulo (10^9 + 7), which is (10^9)^2 = (-7)^2 = 49.
Note:
<li><code>1 <= rectangles.length <= 200</code></li>
<li><code><font face="monospace">rectanges[i].length = 4</font></code></li>
<li><code>0 <= rectangles[i][j] <= 10^9</code></li>
<li>The total area covered by all rectangles will never exceed <code>2^63 - 1</code> and thus will fit in a 64-bit signed integer.</li>