day 5.2 prolog (tentative)
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pl/05.2.pl
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188
pl/05.2.pl
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parse_line(S, [A, B, C, D]) :-
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split_string(S, " ->", "", [X, _, _, _, Y]),
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split_string(X, ",", "", [A0, B0]),
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split_string(Y, ",", "", [C0, D0]),
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number_string(A, A0),
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number_string(B, B0),
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number_string(C, C0),
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number_string(D, D0).
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read_file(Stream, []) :-
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at_end_of_stream(Stream).
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read_file(Stream, [X|L]) :-
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\+ at_end_of_stream(Stream),
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read_line_to_codes(Stream, C),
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string_chars(S, C),
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parse_line(S, X),
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read_file(Stream, L).
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main :-
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open('../input/05', read, Stream),
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%open('05', read, Stream),
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read_file(Stream, Lines), !,
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close(Stream),
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minmax_seq(Lines, X0, X1, Y0, Y1),
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C = [X0 - 10, X1 + 10, Y0 - 10, Y1 + 10],
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convert_coords(Lines, C, L1),
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create_grid(C, G),
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mark_lines(G, L1, G1),
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count_ge2(G1, W),
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print(W).
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convert_coords([], _, []).
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convert_coords([[A0,A1,A2,A3]|As], [X0, X1, Y0, Y1], [[B0,B1,B2,B3]|Bs]) :-
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C0 is A0 - X0,
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C1 is A1 - Y0,
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C2 is A2 - X0,
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C3 is A3 - Y0,
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((
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(horizontal([C0, C1, C2, C3]); vertical([C0, C1, C2, C3])),
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B0 is min(C0, C2),
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B2 is max(C0, C2),
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B1 is min(C1, C3),
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B3 is max(C1, C3)
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);
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(
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C0 =< C2,
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B0 is C0,
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B1 is C1,
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B2 is C2,
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B3 is C3
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);
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(
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C2 < C0,
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B0 is C2,
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B1 is C3,
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B2 is C0,
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B3 is C1
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)),
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convert_coords(As, [X0, X1, Y0, Y1], Bs).
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create_row(0, []).
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create_row(X, [0|As]) :-
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X > 0,
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X1 is X - 1,
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create_row(X1, As).
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create_grid([X0, X1, Y0, Y1], A) :-
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create_grid(X1 - X0 + 1, Y1 - Y0 + 1, A).
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create_grid(_, 0, []).
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create_grid(X, Y, [A|As]) :-
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Y > 0,
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Y1 is Y - 1,
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create_row(X, A),
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create_grid(X, Y1, As).
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minmax([A, B, C, D], X0, X1, Y0, Y1) :-
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X0 is min(A, C),
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X1 is max(A, C),
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Y0 is min(B, D),
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Y1 is max(B, D).
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minmax_seq([A], X0, X1, Y0, Y1) :-
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minmax(A, X0, X1, Y0, Y1).
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minmax_seq([A|As], X0, X1, Y0, Y1) :-
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minmax_seq(As, X00, X01, Y00, Y01),
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minmax(A, X10, X11, Y10, Y11),
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X0 is min(X00, X10),
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X1 is max(X01, X11),
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Y0 is min(Y00, Y10),
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Y1 is max(Y01, Y11).
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vertical([A, _, A, _]).
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horizontal([_, A, _, A]).
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diagonal_a([A, B, C, D]) :-
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C - A = D - B.
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diagonal_b([A, B, C, D]) :-
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C - A = B - D.
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applicable(A) :-
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(vertical(A); horizontal(A)).
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prefix_n(0, _, []).
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prefix_n(X, [A|As], [A|Ps]) :-
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X > 0,
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X1 is X - 1,
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prefix_n(X1, As, Ps).
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suffix_n(N, A, S) :-
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reverse(A, B),
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prefix_n(N, B, P),
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reverse(P, S).
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add_one([], []).
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add_one([A|As], [B|Bs]) :-
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B is A + 1,
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add_one(As, Bs).
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mark_in_row(X, [A, B], Y) :-
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length(X, L),
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L1 is L - B - 1,
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prefix_n(A, X, Pfx),
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suffix_n(L1, X, Sfx),
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append([Pfx, Q, Sfx], X),
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add_one(Q, W),
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append([Pfx, W, Sfx], Y).
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mark_row(X, [A, B, C, B], Y) :-
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length(X, L),
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L1 is L - B - 1,
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prefix_n(B, X, Pfx),
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suffix_n(L1, X, Sfx),
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nth0(B, X, Row0),
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mark_in_row(Row0, [A, C], Row1),
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append([Pfx, [Row1], Sfx], Y).
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mark_cols([], _, []).
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mark_cols([X|Xs], A, [Y|Ys]) :-
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mark_in_row(X, [A, A], Y),
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mark_cols(Xs, A, Ys).
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mark_col(X, [A, B, A, D], Y) :-
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length(X, L),
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L1 is L - D - 1,
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prefix_n(B, X, Pfx),
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suffix_n(L1, X, Sfx),
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append([Pfx, Q, Sfx], X),
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mark_cols(Q, A, W),
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append([Pfx, W, Sfx], Y).
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mark_diag_a(X, [A, A, A, A], Y) :-
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mark_row(X, [A, A, A, A], Y).
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mark_diag_a(X, [A, B, C, D], Y) :-
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A \= C,
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diagonal_a([A, B, C, D]),
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mark_diag_a(X, [A, B, A, B], Y0),
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A1 is A + 1,
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B1 is B + 1,
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mark_diag_a(Y0, [A1, B1, C, D], Y).
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mark_diag_b(X, [A, A, A, A], Y) :-
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mark_row(X, [A, A, A, A], Y).
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mark_diag_b(X, [A, B, C, D], Y) :-
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A \= C,
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diagonal_b([A, B, C, D]),
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mark_diag_b(X, [A, B, A, B], Y0),
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A1 is A + 1,
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B1 is B - 1,
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mark_diag_b(Y0, [A1, B1, C, D], Y).
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mark_line(X, Z, Y) :-
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mark_col(X, Z, Y); mark_row(X, Z, Y); mark_diag_a(X, Z, Y); mark_diag_b(X, Z, Y), !.
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mark_lines(X, [], X).
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mark_lines(X, [Z|Zs], Y) :-
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mark_line(X, Z, Y0), !,
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mark_lines(Y0, Zs, Y).
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count_ge2_row([], 0).
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count_ge2_row([A|As], C) :-
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A >= 2,
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count_ge2_row(As, C1),
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C is C1 + 1.
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count_ge2_row([A|As], C) :-
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A < 2,
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count_ge2_row(As, C).
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count_ge2([], 0).
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count_ge2([X|Xs], Y) :-
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count_ge2(Xs, Y0),
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count_ge2_row(X, Y1),
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Y is Y0 + Y1.
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