-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy path11.pl
74 lines (60 loc) · 3.44 KB
/
11.pl
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
% Largest product in a Rows
:- use_module(library(clpfd)).
:- use_module(library(lists)).
grid([
[08, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 08],
[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00],
[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65],
[52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91],
[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80],
[24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50],
[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70],
[67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 08, 40, 91, 66, 49, 94, 21],
[24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72],
[21, 36, 23, 09, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95],
[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 09, 53, 56, 92],
[16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57],
[86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],
[19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40],
[04, 52, 08, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],
[88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69],
[04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 08, 46, 29, 32, 40, 62, 76, 36],
[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16],
[20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54],
[01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48]
]).
get_cell(I, J, Rows, Cell) :-
nth0(I, Rows, Row),
nth0(J, Row, Cell).
get_orthogonal_product(_, _, _, 1, 0).
get_orthogonal_product(I, J, Rows, Product, Counter) :-
get_cell(I, J, Rows, Cell),
NewJ is J + 1,
NewCounter is Counter - 1,
get_orthogonal_product(I, NewJ, Rows, NewProduct, NewCounter),
Product is Cell * NewProduct.
get_orthogonal_product(I, J, Rows, Product) :-
get_orthogonal_product(I, J, Rows, Product, 4).
get_diagonal_product(_, _, _, 1, 0, _).
get_diagonal_product(I, J, Rows, Product, Counter, Slope) :-
get_cell(I, J, Rows, Cell),
NewI is I - Slope,
NewJ is J + 1,
NewCounter is Counter - 1,
get_diagonal_product(NewI, NewJ, Rows, NewProduct, NewCounter, Slope),
Product is Cell * NewProduct.
get_diagonal_product(I, J, Rows, Product, Slope) :-
get_diagonal_product(I, J, Rows, Product, 4, Slope).
solve(Answer) :-
grid(Rows),
transpose(Rows, Columns),
findall(HorizontalProduct, get_orthogonal_product(_, _, Rows, HorizontalProduct), HorizontalProducts),
findall(VerticalProduct, get_orthogonal_product(_, _, Columns, VerticalProduct), VerticalProducts),
findall(NegativeSlopeProduct, get_diagonal_product(_, _, Rows, NegativeSlopeProduct, -1), NegativeSlopeProducts),
findall(PositiveSlopeProduct, get_diagonal_product(_, _, Rows, PositiveSlopeProduct, 1), PositiveSlopeProducts),
get_diagonal_product(3, 0, Columns, P, 1),
print(P), nl,
append(HorizontalProducts, VerticalProducts, OrthogonalProducts),
append(NegativeSlopeProducts, PositiveSlopeProducts, DiagonalProducts),
append(OrthogonalProducts, DiagonalProducts, Products),
max_list(Products, Answer).