public class CircleDivisionByChords
{
private static void print(int p, int r)
{
final int n = (p * (p - 1)) / 2; // number of chords
System.out.print(p + " point");
System.out.print(p == 1 ? ", " : "s, ");
System.out.print(n + " line");
System.out.print(n == 1 ? ", " : "s, ");
System.out.print(r + " region");
System.out.print(r == 1 ? "\n" : "s\n");
}
public static void main(String[] args)
{
int p = 0; // number of points
int r = 1; // number of regions
print(p, r);
print(++p, r);
print(++p, ++r);
for (int i=1, j=1, k=0; k < 4; k++) {
j += k;
i += j;
r += i;
print(++p, r);
}
}
}