**6 人解决**，9 人已尝试。

**6 份提交通过**，共有 32 份提交。

**7.3** EMB 奖励。

**单点时限: **1.0 sec

**内存限制: **256 MB

Archeologists from the Antiquities and Curios Museum (ACM) have flown to Egypt to examine the great pyramid of Key-Ops. Using state-of-the-art technology they are able to determine that the lower floor of the pyramid is constructed from a series of straightline walls, which intersect to form numerous enclosed chambers. Currently, no doors exist to allow access to any chamber. This state-of-the-art technology has also pinpointed the location of the treasure room. What these dedicated (and greedy) archeologists want to do is blast doors through the walls to get to the treasure room. However, to minimize the damage to the artwork in the intervening chambers (and stay under their government grant for dynamite) they want to blast through the minimum number of doors. For structural integrity purposes, doors should only be blasted at the midpoint of the wall of the room being entered. You are to write a program which determines this minimum number of doors.

An example is shown below:

The input will consist of several cases.

The first line of the input contains the number of cases, and it’s followed by a blank line.

The first line of each case will be an integer () specifying number of interior walls, followed by lines containing integer endpoints of each wall . The 4 enclosing walls of the pyramid have fixed endpoints at , , and and are not included in the list of walls. The interior walls always span from one exterior wall to another exterior wall and are arranged such that no more than two walls intersect at any point. You may assume that no two given walls coincide. After the listing of the interior walls there will be one final line containing the floating point coordinates of the treasure in the treasure room (guaranteed not to lie on a wall).

Different cases are separated by a blank line.

For each case, print a single line listing the minimum number of doors which need to be created, in the format shown below. Print a blank line between cases.

Input

1 7 20 0 37 100 40 0 76 100 85 0 0 75 100 90 0 90 0 71 100 61 0 14 100 38 100 47 47 100 54.5 55.4

Output

Number of doors = 2