Time Limit: Java: 2000 ms / Others: 2000 ms

Memory Limit: Java: 65536 KB / Others: 65536 KB

A friend of yours has taken the job of security officer at the Star-Buy Company,
a famous depart- ment store. One of his tasks is to install a video surveillance
system to guarantee the security of the customers (and the security of the merchandise
of course) on all of the store's countless floors. As the company has only a limited
budget, there will be only one camera on every floor. But these cameras may turn
around to look in every direction.

The first problem is to choose where to install the camera for every floor. The only requirement is that every part of the room must be visible from there. In the following figure the left floor can be completely surveyed from the position indicated by a dot, while for the right floor, there is no such position, the given position failing to see the lower left part of the floor.

Before trying to install the cameras, your friend first wants to know whether there is indeed a suitable position for them. He therefore asks you to write a program that, given a ground plan, de- termines whether there is a position from which the whole floor is visible. All floor ground plans form rectangular polygons, whose edges do not intersect each other and touch each other only at the corners.

The input contains several floor descriptions. Every description starts with
the number n of vertices that bound the floor (4 <= n <= 100). The next
n lines contain two integers each, the x and y coordinates for the n vertices,
given in clockwise order. All vertices will be distinct and at corners of the
polygon. Thus the edges alternate between horizontal and vertical.

A zero value for n indicates the end of the input.

A zero value for n indicates the end of the input.

For every test case first output a line with the number of the floor, as shown
in the sample output. Then print a line stating ``Surveillance is possible.''
if there exists a position from which the entire floor can be observed, or print
``Surveillance is impossible.'' if there is no such position.

Print a blank line after each test case.

Print a blank line after each test case.

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