Cow Curling

Cow curling is a popular cold weather sport at the Moolympics.

As in ordinary curling, two teams play against each other, and each team slides $N$ heavy stones across a sheet of ice ($3 \le N \le 50000$). When the match ends, $2N$ stones lie on the ice, and all of them sit at distinct points of the plane.

Scoring works in an unusual way. A stone is captured when it lies inside a triangle whose three corners are stones of the opposing team, and a stone on the boundary of such a triangle counts as captured too. The score of a team is the number of opposing stones that are captured.

Given the positions of all $2N$ stones, compute the final score of the match.

The first line contains the integer $N$.

Each of the next $N$ lines contains two integers, the $x$ and $y$ coordinates of a stone of team A.

Each of the following $N$ lines contains two integers, the $x$ and $y$ coordinates of a stone of team B.

Every coordinate is an integer between $-40000$ and $40000$, and the $2N$ stones sit at distinct points.

Print the score of team A and the score of team B on one line, separated by a space.