CSES Problem Set

# Area of Rectangles

CSES - Area of RectanglesCSES - Area of Rectangles

 Time limit: 1.00 s Memory limit: 512 MB

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 $(x_2,y_2)$.

Output

Print the total area covered by the rectangles.

Constraints
• $1 \le n \le 10^5$
• $-10^6 \le x_1 < x_2 \le 10^6$
• $-10^6 \le y_1 < y_2 \le 10^6$
Example

Input:
3 1 3 4 5 3 1 7 4 5 3 8 6

Output:
24