Mercurial > repos > other > SevenLanguagesInSevenWeeks
changeset 66:2acc1ad8d365
Add half-completed sudoku solver
author | IBBoard <dev@ibboard.co.uk> |
---|---|
date | Mon, 02 Oct 2017 21:02:22 +0100 |
parents | 69eb40c46798 |
children | 8906b5a4517f |
files | 3-Prolog/day3-sudoku.pl |
diffstat | 1 files changed, 46 insertions(+), 0 deletions(-) [+] |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/3-Prolog/day3-sudoku.pl Mon Oct 02 21:02:22 2017 +0100 @@ -0,0 +1,46 @@ +% Create a generic sudoku reader + +valid([]). +valid([Head|Tail]) :- + fd_all_different(Head), + valid(Tail). + +sudoku(Board, X, Y, Solution) :- + Solution = Board, + Max is X * Y, + fd_domain(Solution, 1, Max), + board(X, Y, Board), + rows(Board, Max, Rows), + cols(Board, Max, Cols), + valid(Rows), + valid(Cols). +% TODO: Calculate boxes and validate them + +board(X, Y, Board) :- + Size is X * Y * X * Y, + board(Size, Board). +board(1, [_]). +board(Size, [_|Board]) :- SmallerSize is Size - 1, board(SmallerSize, Board). + +sublist(Start, Length, Input, Output) :- End is Start + Length - 1, sublist(Start, End, 1, Input, Output). +sublist(Start, End, Pos, [Head|TailIn], [Head|TailOut]) :- Pos >= Start, Pos =< End, NextPos is Pos + 1, sublist(Start, End, NextPos, TailIn, TailOut). +sublist(Start, End, Pos, [_|TailIn], Output) :- Pos < Start, NextPos is Pos + 1, sublist(Start, End, NextPos, TailIn, Output). +sublist(_, End, Pos, _, []) :- Pos > End. + +rows(Board, RowLength, Rows) :- rows(Board, RowLength, 1, Rows). +rows(Board, RowLength, RowNum, [NewRow|Rows]) :- RowNum =< RowLength, NextRowNum is RowNum + 1, + Start is ((RowNum - 1) * RowLength) + 1, sublist(Start, RowLength, Board, NewRow), + rows(Board, RowLength, NextRowNum, Rows). +rows(_, RowLength, RowNum, []) :- RowNum > RowLength. + +nth_from_list(Start, N, Input, Output) :- nth_from_list(N, Start, 1, Input, Output). +nth_from_list(N, Next, Pos, [Head|TailIn], [Head|TailOut]) :- Pos == Next, NewNext is Next + N, NewPos is Pos + 1, + nth_from_list(N, NewNext, NewPos, TailIn, TailOut). +nth_from_list(N, Next, Pos, [_|TailIn], Output) :- NewPos is Pos + 1, nth_from_list(N, Next, NewPos, TailIn, Output). +nth_from_list(_, _, _, [], []). + +cols(Board, ColLength, Cols) :- cols(Board, ColLength, 1, Cols). +cols(Board, ColLength, ColNum, [NewCol|Cols]) :- ColNum =< ColLength, NextColNum is ColNum + 1, + nth_from_list(ColNum, ColLength, Board, NewCol), + cols(Board, ColLength, NextColNum, Cols). +cols(_, ColLength, ColNum, []) :- ColNum > ColLength. \ No newline at end of file