📄 fig9_13.pl
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% Figure 9.13 Deleting from the binary dictionary.
% del( Tree, X, NewTree):
% deleting X from binary dictionary Tree gives NewTree
del( t( nil, X, Right), X, Right).
del( t( Left, X, nil), X, Left).
del( t( Left, X, Right), X, t( Left, Y, Right1)) :-
delmin( Right, Y, Right1).
del( t( Left, Root, Right), X, t( Left1, Root, Right)) :-
gt( Root, X),
del( Left, X, Left1).
del( t( Left, Root, Right), X, t( Left, Root, Right1)) :-
gt( X, Root),
del( Right, X, Right1).
% delmin( Tree, Y, NewTree):
% delete minimal item Y in binary dictionary Tree producing NewTree
delmin( t( nil, Y, R), Y, R).
delmin( t( Left, Root, Right), Y, t( Left1, Root, Right)) :-
delmin( Left, Y, Left1).
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