/* abc */
 
using System;
 
using System.Collections.Generic;
 
class Cell{
 
	public int x;
 
	public int y;
 
	public int color;
 
}
 
class Game{
 
	List<Cell> cells;
 
	List<System.Func<Cell,Cell,bool>> predicates;
 
	public Game(){
 
 
 
		predicates = new List<System.Func<Cell,Cell,bool>>();
 
		predicates.Add( delegate(Cell a,Cell b){  return ( b.x - a.x == 0); });
 
		predicates.Add( delegate(Cell a,Cell b){  return ( b.y - a.y == 0); });
 
		predicates.Add( 
 
						delegate(Cell a,Cell b){
 
							return (
 
										( (b.x - a.x == 0) && (b.y - a.y == 0)) || 
 
										(
 
											(b.x - a.x != 0 ) &&
 
											(
 
												(double)(b.y - a.y) / (b.x - a.x) == 1
 
											)
 
										)
 
							);
 
						}
 
					);
 
		predicates.Add(
 
						delegate(Cell a,Cell b){
 
							return (
 
										( (b.x - a.x == 0) && (b.y - a.y == 0)) || 
 
										(
 
											(b.x - a.x != 0 ) &&
 
											(
 
												(double)(b.y - a.y) / (b.x - a.x) == -1
 
											)
 
										)
 
							);
 
						}
 
					);
 
		cells = new List<Cell>();
 
		for(int j = 0;j < 5; j++){
 
			for(int i = 0;i < 5; i++){
 
				Cell cell = new Cell();
 
				cell.x = i;
 
				cell.y = j;
 
				cell.color = 0;
 
				cells.Add(cell);
 
			}
 
		}
 
		Test();			
 
	}
 
	public void Test(){
 
		List<Evaluator> elist = new List<Evaluator>();
 
		cells.ConvertAll(
 
				delegate(Cell c1){
 
						return predicates.ConvertAll(
 
								delegate(System.Func<Cell,Cell,bool> f1){
 
										return new Evaluator(c1,f1); 
 
								}
 
						);
 
				}
 
		).ForEach(
 
				delegate(List<Evaluator> elist1){
 
						elist.AddRange(elist1);
 
				}
 
		);
 
		List<List<Cell>> x1 = elist.ConvertAll(
 
				delegate(Evaluator e){
 
						return cells.FindAll(e.GetResult);
 
				}
 
		);
 
		List<List<Cell>> x2 = new List<List<Cell>>();
 
		x1.ForEach(
 
			delegate(List<Cell> list1){
 
				if(
 
					x2.FindAll(
 
						delegate(List<Cell> list2){
 
							return (list1.Count == list2.Count) &&
 
								(list1.TrueForAll(delegate(Cell c){ return list2.Contains(c);}));
 
						}
 
					).Count == 0
 
				){
 
					x2.Add(list1);
 
				}
 
			}
 
		);
 
		x2.ForEach(
 
				delegate(List<Cell> testlist){
 
						System.Console.WriteLine(
 
								String.Concat(
 
										testlist.ConvertAll(
 
												delegate(Cell c1){ 
 
														return "(" + c1.x.ToString() + "," + c1.y.ToString() + ")";
 
												}
 
										)
 
								)
 
						);
 
				}
 
		);
 
	}
 
}
 
class Evaluator{
 
	Cell c = null;
 
	System.Func<Cell,Cell,bool> f = null;
 
	public Evaluator(Cell c1,System.Func<Cell,Cell,bool> f1){
 
			c = c1;
 
			f = f1;
 
	}
 
 	public bool GetResult (Cell c1){
 
			return f(c,c1);
 
	}
 
}
 
class HOGE{
 
		public static void Main(){
 
				Game g = new Game();
 
		}
 
}

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