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/*-------------------------------------------------------------------------*/
/* Benchmark (Boolean) */
/* */
/* Name : bsend.pl */
/* Title : crypt-arithmetic */
/* Original Source: Daniel Diaz - INRIA France */
/* Adapted by : Daniel Diaz for GNU Prolog */
/* Date : January 1993 */
/* */
/* Solve the operation: */
/* */
/* S E N D */
/* + M O R E */
/* ----------- */
/* = M O N E Y */
/* */
/* (resolution by column) */
/* The digit of each letter is coded in binary on 4 bits (dcb). The order */
/* for labeling is very relevant for efficiency. */
/* */
/* Solution: */
/* [S,E,N,D,M,O,R,Y] */
/* [[1,0,0,1],[0,1,0,1],[0,1,1,0],[0,1,1,1],[0,0,0,1],[0,0,0,0],[1,0,0,0],*/
/* [0,0,1,0]] */
/* ie: */
/* [9,5,6,7,1,0,8,2] */
/*-------------------------------------------------------------------------*/
q :-
statistics(runtime, _),
( bsend(A),
write(A),
nl %,
% fail
; write('No more solutions'),
nl
),
statistics(runtime, [_, Y]),
write('time : '),
write(Y),
nl.
bsend(A) :-
A = [S, E, N, D, M, O, R, Y],
dcb_digit(S),
dcb_digit(E),
dcb_digit(N),
dcb_digit(D),
dcb_digit(M),
dcb_digit(O),
dcb_digit(R),
dcb_digit(Y),
diff0(S),
diff0(M),
all_dcb_digit_diff(A),
LC = [C1, C2, C3, C4],
Z = [0, 0, 0, 0],
dcb_add(0, D, E, Y, C1),
dcb_add(C1, N, R, E, C2),
dcb_add(C2, E, O, N, C3),
dcb_add(C3, S, M, O, C4),
dcb_add(C4, Z, Z, M, 0), !,
array_labeling(A),
fd_labeling(LC).
dcb_digit(D) :-
D = [B3, B2, B1, _],
B3 #==> #\ B2 #/\ #\ B1.
diff0([B3, B2, B1, B0]) :-
B3 #\/ B2 #\/ B1 #\/ B0.
all_dcb_digit_diff([]).
all_dcb_digit_diff([X|L]) :-
diff_of(L, X),
all_dcb_digit_diff(L).
diff_of([], _).
diff_of([Y|L], X) :-
dcb_digit_diff(X, Y),
diff_of(L, X).
dcb_digit_diff([X3, X2, X1, X0], [Y3, Y2, Y1, Y0]) :-
#\ ((X3 #<=> Y3) #/\ (X2 #<=> Y2) #/\ (X1 #<=> Y1) #/\ (X0 #<=> Y0)).
dcb_add(CI, [X3, X2, X1, X0], [Y3, Y2, Y1, Y0], [Z3, Z2, Z1, Z0], CO) :-
full_add(CI, X0, Y0, Z0, C1),
full_add(C1, X1, Y1, I1, C2),
full_add(C2, X2, Y2, I2, C3),
full_add(C3, X3, Y3, I3, C4),
I2 #\/ I1 #<=> I12,
I3 #/\ I12 #<=> I123,
C4 #\/ I123 #<=> Hex,
half_add(I1, Hex, Z1, D2),
full_add(D2, I2, Hex, Z2, D3),
half_add(D3, I3, Z3, D4),
C4 #\/ D4 #<=> CO.
full_add(CI, X, Y, Z, CO) :-
half_add(X, Y, Z1, C1),
half_add(CI, Z1, Z, C2),
C1 #\/ C2 #<=> CO.
half_add(X, Y, Z, CO) :-
X #/\ Y #<=> CO,
X ## Y #<=> Z.
:- include(array).
% interface with for_each_... procedures
array_prog(_, _).
:- initialization(q).
|
