Hole Cutter

The assistants at the main office often need to cut various shapes out of a large sheet of paper — for example, to hand out posters of many different sizes. They have just acquired a new cutter that can make cuts far more freely than any of their previous machines, and they want a program that computes exactly what happens when a complex series of cuts is made. In particular, they need to know how many holes are formed in the sheet by the cuts. The pictures below show some situations that can arise after cutting.

Two holes	Two holes	One hole	One hole

The input consists of several cutting-operation descriptions. Each description starts with a line containing an integer $N$, the number of cuts in the operation, where $1 \le N \le 100$. This line is followed by $N$ lines giving the actual cuts. Each cut is given by four integers separated by single spaces, $X_1, Y_1, X_2, Y_2$, with $-10^5 < X_1, Y_1, X_2, Y_2 < 10^5$. $(X_1, Y_1)$ is the start point of the cut line and $(X_2, Y_2)$ is its end point.

You may assume the points are always strictly inside the sheet, never on its boundary. Each cut is parallel to the $x$-axis or the $y$-axis. The input is terminated by a cutting-operation description with $N = 0$, i.e. a line consisting of a single $0$.

For each cutting operation, output a single line containing the sentence There are H holes., where $H$ is the number of distinct holes in the sheet after all the cuts have been made. Note that the minimum area of any hole is 1 square unit.