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Ingy döt Net 2023-07-01 11:58:00 -04:00
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:- use_module(library(clpfd)).
:- dynamic top/1, bottom/1.
% Baker does not live on the top floor
rule1(L) :-
member((baker, F), L),
top(Top),
F #\= Top.
% Cooper does not live on the bottom floor.
rule2(L) :-
member((cooper, F), L),
bottom(Bottom),
F #\= Bottom.
% Fletcher does not live on either the top or the bottom floor.
rule3(L) :-
member((fletcher, F), L),
top(Top),
bottom(Bottom),
F #\= Top,
F #\= Bottom.
% Miller lives on a higher floor than does Cooper.
rule4(L) :-
member((miller, Fm), L),
member((cooper, Fc), L),
Fm #> Fc.
% Smith does not live on a floor adjacent to Fletcher's.
rule5(L) :-
member((smith, Fs), L),
member((fletcher, Ff), L),
abs(Fs-Ff) #> 1.
% Fletcher does not live on a floor adjacent to Cooper's.
rule6(L) :-
member((cooper, Fc), L),
member((fletcher, Ff), L),
abs(Fc-Ff) #> 1.
init(L) :-
% we need to define top and bottom
assert(bottom(1)),
length(L, Top),
assert(top(Top)),
% we say that they are all in differents floors
bagof(F, X^member((X, F), L), LF),
LF ins 1..Top,
all_different(LF),
% Baker does not live on the top floor
rule1(L),
% Cooper does not live on the bottom floor.
rule2(L),
% Fletcher does not live on either the top or the bottom floor.
rule3(L),
% Miller lives on a higher floor than does Cooper.
rule4(L),
% Smith does not live on a floor adjacent to Fletcher's.
rule5(L),
% Fletcher does not live on a floor adjacent to Cooper's.
rule6(L).
solve(L) :-
bagof(F, X^member((X, F), L), LF),
label(LF).
dinners :-
retractall(top(_)), retractall(bottom(_)),
L = [(baker, _Fb), (cooper, _Fc), (fletcher, _Ff), (miller, _Fm), (smith, _Fs)],
init(L),
solve(L),
maplist(writeln, L).

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select([A|As],S):- select(A,S,S1),select(As,S1).
select([],_).
dinesmans(X) :-
%% Baker, Cooper, Fletcher, Miller, and Smith live on different floors
%% of an apartment house that contains only five floors.
select([Baker,Cooper,Fletcher,Miller,Smith],[1,2,3,4,5]),
%% Baker does not live on the top floor.
Baker =\= 5,
%% Cooper does not live on the bottom floor.
Cooper =\= 1,
%% Fletcher does not live on either the top or the bottom floor.
Fletcher =\= 1, Fletcher =\= 5,
%% Miller lives on a higher floor than does Cooper.
Miller > Cooper,
%% Smith does not live on a floor adjacent to Fletcher's.
1 =\= abs(Smith - Fletcher),
%% Fletcher does not live on a floor adjacent to Cooper's.
1 =\= abs(Fletcher - Cooper),
%% Where does everyone live?
X = ['Baker'(Baker), 'Cooper'(Cooper), 'Fletcher'(Fletcher),
'Miller'(Miller), 'Smith'(Smith)].
main :- bagof( X, dinesmans(X), L )
-> maplist( writeln, L), nl, write('No more solutions.')
; write('No solutions.').

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dinesmans(X) :-
%% 1. Baker, Cooper, Fletcher, Miller, and Smith live on different floors
%% of an apartment house that contains only five floors.
Domain = [1,2,3,4,5],
%% 2. Baker does not live on the top floor.
select(Baker,Domain,D1), Baker =\= 5,
%% 3. Cooper does not live on the bottom floor.
select(Cooper,D1,D2), Cooper =\= 1,
%% 4. Fletcher does not live on either the top or the bottom floor.
select(Fletcher,D2,D3), Fletcher =\= 1, Fletcher =\= 5,
%% 5. Miller lives on a higher floor than does Cooper.
select(Miller,D3,D4), Miller > Cooper,
%% 6. Smith does not live on a floor adjacent to Fletcher's.
select(Smith,D4,_), 1 =\= abs(Smith - Fletcher),
%% 7. Fletcher does not live on a floor adjacent to Cooper's.
1 =\= abs(Fletcher - Cooper),
%% Where does everyone live?
X = ['Baker'(Baker), 'Cooper'(Cooper), 'Fletcher'(Fletcher),
'Miller'(Miller), 'Smith'(Smith)].