Problem 11 格子内の最大の積

問題

最初の問題は簡単だなあ…作業感出てきた…早くもう少し難しくなってほしい


% problem 7

:- dynamic
gvar/2.

gvar(max,0).

set_gvar(Name,X):-
nonvar(Name),retract(gvar(Name,_)),!,asserta(gvar(Name,X)).
set_gvar(Name,X):-
nonvar(Name),asserta(gvar(Name,X)).

solve:-
set_gvar(squares,
masu(
hline(08,02,22,97,38,15,00,40,00,75,04,05,07,78,52,12,50,77,91,08),
hline(49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48,04,56,62,00),
hline(81,49,31,73,55,79,14,29,93,71,40,67,53,88,30,03,49,13,36,65),
hline(52,70,95,23,04,60,11,42,69,24,68,56,01,32,56,71,37,02,36,91),
hline(22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80),
hline(24,47,32,60,99,03,45,02,44,75,33,53,78,36,84,20,35,17,12,50),
hline(32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70),
hline(67,26,20,68,02,62,12,20,95,63,94,39,63,08,40,91,66,49,94,21),
hline(24,55,58,05,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72),
hline(21,36,23,09,75,00,76,44,20,45,35,14,00,61,33,97,34,31,33,95),
hline(78,17,53,28,22,75,31,67,15,94,03,80,04,62,16,14,09,53,56,92),
hline(16,39,05,42,96,35,31,47,55,58,88,24,00,17,54,24,36,29,85,57),
hline(86,56,00,48,35,71,89,07,05,44,44,37,44,60,21,58,51,54,17,58),
hline(19,80,81,68,05,94,47,69,28,73,92,13,86,52,17,77,04,89,55,40),
hline(04,52,08,83,97,35,99,16,07,97,57,32,16,26,26,79,33,27,98,66),
hline(88,36,68,87,57,62,20,72,03,46,33,67,46,55,12,32,63,93,53,69),
hline(04,42,16,73,38,25,39,11,24,94,72,18,08,46,29,32,40,62,76,36),
hline(20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74,04,36,16),
hline(20,73,35,29,78,31,90,01,74,31,49,71,48,86,81,16,23,57,05,54),
hline(01,70,54,71,83,51,54,69,16,92,33,48,61,43,52,01,89,19,67,48)
)
),
set_gvar(max,0),
\+vartical,
\+horizontal,
\+diagonal_topleft2bottomright,
\+diagonal_topright2bottomleft,
!,
gvar(max,Max),
write(Max).

vartical:-
gvar(squares,Masu),
between(1,20,H),
between(1,17,V),
V1 is V+1,
V2 is V+2,
V3 is V+3,
arg(V,Masu,HLine),
arg(V1,Masu,HLine1),
arg(V2,Masu,HLine2),
arg(V3,Masu,HLine3),
arg(H,HLine,Val),
arg(H,HLine1,Val1),
arg(H,HLine2,Val2),
arg(H,HLine3,Val3),
Mul is Val * Val1 * Val2 * Val3,
gvar(max,Max),
(Mul > Max -> set_gvar(max,Mul);true),
fail.

horizontal:-
gvar(squares,Masu),
between(1,17,H),
between(1,20,V),
H1 is H+1,
H2 is H+2,
H3 is H+3,
arg(V,Masu,HLine),
arg(H,HLine,Val),
arg(H1,HLine,Val1),
arg(H2,HLine,Val2),
arg(H3,HLine,Val3),
Mul is Val * Val1 * Val2 * Val3,
gvar(max,Max),
(Mul > Max -> set_gvar(max,Mul);true),
fail.

diagonal_topleft2bottomright:-
gvar(squares,Masu),
between(1,17,H),
between(1,17,V),
H1 is H+1,
H2 is H+2,
H3 is H+3,
V1 is V+1,
V2 is V+2,
V3 is V+3,
arg(V,Masu,HLine),
arg(V1,Masu,HLine1),
arg(V2,Masu,HLine2),
arg(V3,Masu,HLine3),
arg(H,HLine,Val),
arg(H1,HLine1,Val1),
arg(H2,HLine2,Val2),
arg(H3,HLine3,Val3),
Mul is Val * Val1 * Val2 * Val3,
gvar(max,Max),
(Mul > Max -> set_gvar(max,Mul);true),
fail.

diagonal_topright2bottomleft:-
gvar(squares,Masu),
between(4,20,H),
between(4,20,V),
H1 is H-1,
H2 is H-2,
H3 is H-3,
V1 is V+1,
V2 is V+2,
V3 is V+3,
arg(V,Masu,HLine),
arg(V1,Masu,HLine1),
arg(V2,Masu,HLine2),
arg(V3,Masu,HLine3),
arg(H,HLine,Val),
arg(H1,HLine1,Val1),
arg(H2,HLine2,Val2),
arg(H3,HLine3,Val3),
Mul is Val * Val1 * Val2 * Val3,
gvar(max,Max),
(Mul > Max -> set_gvar(max,Mul);true),
fail.

実行結果(解答伏せています):
1 ?- time(solve).
XXXXXXXX
% 12,531 inferences, 0.000 CPU in 0.000 seconds (?% CPU, Infinite Lips)
true.

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