📄 riverbfs.pl
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% The problem:
% A man needs to cross the river with a fox, a goose and a bag of beans.
% Each time the man can only bring one of them across the river.
% Without the man, the fox will eat the goose, the goose will eat the beans.
%
% States:
% Format: state(FoxPos, GoosePos, BeansPos, ManPos)
% Initial: state(left, left, left, left)
% Goal: state(right, right,right, right)
%
%
% Define movement
move(left, right).
move(right, left).
% Valid states
validState(state(_, GoosePos, _, ManPos)):-
ManPos = GoosePos, !.
validState(state(FoxPos, GoosePos, BeansPos, _)):-
FoxPos \= GoosePos,
BeansPos \= GoosePos.
% Can the man bring something to the other side?
canBring(nothing,
state(FoxPos, GoosePos, BeansPos, ManPos),
state(FoxPos, GoosePos, BeansPos, NewManPos)):-
move(ManPos, NewManPos),
validState(state(FoxPos, GoosePos, BeansPos, NewManPos)).
canBring(fox,
state(ManPos, GoosePos, BeansPos, ManPos),
state(NewManPos, GoosePos, BeansPos, NewManPos)):-
move(ManPos, NewManPos),
validState(state(NewManPos, GoosePos, BeansPos, NewManPos)).
canBring(goose,
state(FoxPos, ManPos, BeansPos, ManPos),
state(FoxPos, NewManPos, BeansPos, NewManPos)):-
move(ManPos, NewManPos),
validState(state(FoxPos, NewManPos, BeansPos, NewManPos)).
canBring(beans,
state(FoxPos, GoosePos, ManPos, ManPos),
state(FoxPos, GoosePos, NewManPos, NewManPos)):-
move(ManPos, NewManPos),
validState(state(FoxPos, GoosePos, NewManPos, NewManPos)).
% Find the path to goal.
solve([state(right, right, right, right)/ReversedPath|_], ReturnPath):-
reverse(ReversedPath, ReturnPath).
solve([State/Path|QueueTail], ReturnPath) :-
findall(NewState/[Item|Path], canBring(Item, State, NewState), NextStates),
append(QueueTail, NextStates, NewQueue),
solve(NewQueue, ReturnPath).
% entry point
solvePuzzle:-
solve([state(left,left,left,left)/[]], Path),
!,
printPath(Path, left).
printPath([], _).
printPath([Item|Path], Position):-
writef('bring %w to the %w\n', [Item, Position]),
move(Position, NewPosition),
printPath(Path, NewPosition).
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