Intersection Points

Given n horizontal and vertical line segments, your task is to calculate the number of their intersection points. You can assume that no parallel line segments intersect, and no endpoint of a line segment is an intersection point.

Input

The first line has an integer n: the number of line segments. Then there are n lines describing the line segments. Each line has four integers: x_1, y_1, x_2 and y_2: a line segment begins at point (x_1,y_1) and ends at point (x_2,y_2).

Output

Print the number of intersection points.

Constraints

$1 \le n \le 10^5$

$-10^6 \le x_1 \le x_2 \le 10^6$

$-10^6 \le y_1 \le y_2 \le 10^6$

$(x_1,y_1) \neq (x_2,y_2)$

Example

Input

3
2 3 7 3
3 1 3 5
6 2 6 6

Output

2