8808: [CSES Problem Set] Area of Rectangles
[Creator : ]
Description
Given n rectangles, your task is to determine the total area of their union.
Input
The first input line has an integer n: the number of rectangles.
After that, there are n lines describing the rectangles. Each line has four integers $x_1, y_1, x_2$ and $y_2$: a rectangle begins at point $(x_1,y_1)$ and ends at point $(x_2,y_2)$.
After that, there are n lines describing the rectangles. Each line has four integers $x_1, y_1, x_2$ and $y_2$: a rectangle begins at point $(x_1,y_1)$ and ends at point $(x_2,y_2)$.
Output
Print the total area covered by the rectangles.
Constraints
$1≤n≤10^5$
$-10^6≤x_1<x_2≤10^6$
$-10^6≤y_1<y_2≤10^6$
$-10^6≤x_1<x_2≤10^6$
$-10^6≤y_1<y_2≤10^6$
Sample 1 Input
3
1 3 4 5
3 1 7 4
5 3 8 6
Sample 1 Output
24