2001-06-06 19:40:57 +00:00
										 
									 
								 
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								:- object(list,
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									implements(listp),
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									extends(compound)).
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									:- info([
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											2004-06-06 22:46:45 +00:00
										 
									 
								 
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										version is 1.2,
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											2003-02-05 00:15:28 +00:00
										 
									 
								 
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										author is 'Paulo Moura',
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											2004-06-06 22:46:45 +00:00
										 
									 
								 
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										date is 2004/5/9,
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											2001-06-06 19:40:57 +00:00
										 
									 
								 
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										comment is 'List predicates.']).
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									:- public(as_difflist/2).
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									:- mode(as_difflist(+list, -list), one).
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									:- info(as_difflist/2,
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										[comment is 'Converts a list to a difference list.',
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										 argnames is ['List', 'Diffist']]).
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									append([], List, List).
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									append([Head| Tail], List, [Head| Tail2]) :-
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										append(Tail, List, Tail2).
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									as_difflist([], Back-Back).
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									as_difflist([Head| Tail], [Head| Tail2]-Back) :-
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										as_difflist(Tail, Tail2-Back).
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									delete([], _, []).
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									delete([Head| Tail], Element, Remaining) :-
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										Head == Element ->
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											delete(Tail, Element, Remaining)
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											;
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											Remaining = [Head| Tail2],
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											delete(Tail, Element, Tail2).
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									delete_matches([], _, []).
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									delete_matches([Head| Tail], Element, Remaining) :-
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										\+ \+ Head = Element ->
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											delete_matches(Tail, Element, Remaining)
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											;
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											Remaining = [Head| Tail2],
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											delete_matches(Tail, Element, Tail2).
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									empty(List) :-
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										List == [].
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									flatten(List, Flatted) :-
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										flatten(List, [], Flatted).
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									flatten(Var, Tail, [Var| Tail]) :-
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										var(Var),
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										!.
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									flatten([], Flatted, Flatted) :-
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										!.
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									flatten([Head| Tail], List, Flatted) :-
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										!,
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										flatten(Tail, List, Aux),
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										flatten(Head, Aux, Flatted).
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									flatten(Head, Tail, [Head| Tail]).
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									keysort(List, Sorted) :-
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										{keysort(List, Sorted)}.		
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									last([Head| Tail], Last) :-
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										last(Tail, Head, Last).
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									last([], Last, Last).
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									last([Head| Tail], _, Last) :-
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										last(Tail, Head, Last).
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									length(List, Length) :-
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										integer(Length) ->
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											Length >= 0,
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											make_list(Length, List)
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											;
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											length(List, 0, Length).
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									make_list(0, []):-
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										!.
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									make_list(N, [_| Tail]):-
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										M is N-1,
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										make_list(M, Tail).
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									length([], Length, Length).
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									length([_| Tail], Acc, Length) :-
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										Acc2 is Acc + 1,
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										length(Tail, Acc2, Length).
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									max([N| Ns], Max) :-
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										max(Ns, N, Max).
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									max([], Max, Max).
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									max([N| Ns], Aux, Max) :-
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										N @> Aux ->
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											max(Ns, N, Max)
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											;
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											max(Ns, Aux, Max).
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									member(Element, [Element| _]).
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									member(Element, [_| List]) :-
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										member(Element, List).
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									memberchk(Element, [Element| _]) :-
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										!.
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									memberchk(Element, [_| List]) :-
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										memberchk(Element, List).
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									min([N| Ns], Min) :-
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										min(Ns, N, Min).
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									min([], Min, Min).
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									min([N| Ns], Aux, Min) :-
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										N @< Aux ->
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											min(Ns, N, Min)
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											;
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											min(Ns, Aux, Min).
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									new([]).
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											2004-06-06 22:46:45 +00:00
										 
									 
								 
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									nextto(X, Y, [X, Y| _]).
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									nextto(X, Y, [_| Tail]) :-
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										nextto(X, Y, Tail).
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											2004-06-06 22:46:45 +00:00
										 
									 
								 
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									nth0(Nth, List, Element) :-
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										nth(Element, List, 0, Nth, _).
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							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									nth0(Nth, List, Element, Tail) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										nth(Element, List, 0, Nth, Tail).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									nth1(Nth, List, Element) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										nth(Element, List, 1, Nth, _).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									nth1(Nth, List, Element, Tail) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										nth(Element, List, 1, Nth, Tail).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									nth(Head, [Head| Tail], Position, Position, Tail).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									nth(Head, [_| List], Count, Position, Tail) :-
							 | 
						
					
						
							
								
									
										
										
										
											2001-06-06 19:40:57 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										Count2 is Count + 1,
							 | 
						
					
						
							
								
									
										
										
										
											2004-06-06 22:46:45 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										nth(Head, List, Count2, Position, Tail).
							 | 
						
					
						
							
								
									
										
										
										
											2001-06-06 19:40:57 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									permutation(List, Permutation) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										same_length(List, Permutation),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										permutation2(List, Permutation).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									permutation2([], []).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									permutation2(List, [Head| Tail]) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										select(Head, List, Remaining),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										permutation2(Remaining, Tail).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									prefix([], _).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									prefix([Element| Tail], [Element| Tail2]) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										prefix(Tail, Tail2).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									reverse(List, Reversed) :-
							 | 
						
					
						
							
								
									
										
										
										
											2003-06-26 14:52:54 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										reverse(List, [], Reversed, Reversed).
							 | 
						
					
						
							
								
									
										
										
										
											2001-06-06 19:40:57 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2003-06-26 14:52:54 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									reverse([], Reversed, Reversed, []).
							 | 
						
					
						
							
								
									
										
										
										
											2001-06-06 19:40:57 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2003-06-26 14:52:54 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									reverse([Head| Tail], List, Reversed, [_| Bound]) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										reverse(Tail, [Head| List], Reversed, Bound).
							 | 
						
					
						
							
								
									
										
										
										
											2001-06-06 19:40:57 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									same_length([], []).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									same_length([_| Tail1], [_| Tail2]) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										same_length(Tail1, Tail2).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									select(Head, [Head| Tail], Tail).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									select(Head, [Head2| Tail], [Head2| Tail2]) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										select(Head, Tail, Tail2).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sort(List, Sorted) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										{sort(List, Sorted)}.		
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sublist(List, List).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sublist(Sublist, [Head| Tail]):-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										sublist(Tail, Head, Sublist).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sublist(Sublist, _, Sublist).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sublist([Head| Tail], _, Sublist):-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										sublist(Tail, Head, Sublist).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									sublist([Head| Tail], Element, [Element| Sublist]):-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										sublist(Tail, Head, Sublist).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									subtract([], _, []).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									subtract([Head| Tail], List, Rest) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										::memberchk(Head, List) ->
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											subtract(Tail, List, Rest)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											Rest = [Head| Tail2],
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											subtract(Tail, List, Tail2).		
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									suffix(List, List).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									suffix(List, [_| Tail]) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										suffix(List, Tail).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									valid(List) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										nonvar(List),
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										\+ \+ valid2(List).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									valid2([]).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									valid2([_| List]) :-
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										valid2(List).
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								:- end_object.
							 |