import java.io.*;
import java.util.*;

public class Fast {
	public static void main(String[] args) throws IOException{
		FileWriter fw = new FileWriter("visualPoints.txt", false);
		BufferedWriter write = new BufferedWriter(fw);
		int n = StdIn.readInt();
		Point[] points = new Point[n];

		for(int i = 0; i < n; i++) {		//Add points
			points[i] = new Point(StdIn.readInt(), StdIn.readInt());
		}
		Set<ArrayList<Point>> ff = new HashSet<>();
		ArrayList<ArrayList<Point>> pl = new ArrayList<ArrayList<Point>>();
		ArrayList<Point> seg = new ArrayList<>();
		for(int a = 0; a < n; a++) {
			Point[] temp = Arrays.copyOf(points, points.length);
			double curSlope = 0;
			Arrays.sort(temp, temp[a].BY_SLOPE_ORDER);
			curSlope = temp[0].slopeTo(temp[1]);

			for(int b = 1; b < n; b++) {
				if(seg.isEmpty()) {
					seg.add(temp[b]);
					curSlope = temp[0].slopeTo(temp[b]);
				}
				else if(curSlope == temp[0].slopeTo(temp[b])) {
					seg.add(temp[b]);
					if(b == n - 1 && seg.size() >= 3) {
						seg.add(temp[0]);
						pl.add(seg);
						seg = new ArrayList<>();
					}
				}
				else{
					if(seg.size() >= 3) {
						seg.add(temp[0]);
						pl.add(seg);
						seg = new ArrayList<>();
					}
					seg.clear();
					seg.add(temp[b]);
					curSlope = temp[0].slopeTo(temp[b]);
					}
				}
			}
			for(ArrayList<Point> col : pl) Collections.sort(col);
			ff.addAll(pl);
			pl.clear();
			pl.addAll(ff);
			ArrayList<Point> faf = new ArrayList<>();
			for(ArrayList<Point> col: pl)StdOut.print(col+"\n");
			Iterator<ArrayList<Point>> index = pl.iterator();
			while(index.hasNext()) {
				faf = index.next();

				StdOut.print(faf.size()+":(");
				for(int i = 0; i < faf.size(); i++) {
					StdOut.print(faf.get(i).getX()+", "+faf.get(i).getY());
					if(i < faf.size()-1) StdOut.print(" -> ");
				}
				StdOut.print(")\n");
			}
		}
	}