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Ingy döt Net 2023-07-01 11:58:00 -04:00
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import util.
import cp.
main => go.
go =>
sudokus(Sudokus),
foreach([Comment,SudokuS] in Sudokus)
println(SudokuS),
println(Comment),
% Convert string to numbers and "." to _ (unknown)
Sudoku = [ [cond(S == '.',_,S.to_integer()) :
S in slice(SudokuS,(I*9)+1,(I+1)*9)] : I in 0..8],
print_board(Sudoku),
% Ensure unicity of the solution (check that it is a unique solution)
All = findall(Sudoku,sudoku(Sudoku)),
if All.length > 1 then
printf("Problem has %d solutions!\n", All.length)
end,
print("Solution:")
foreach(A in All)
print_board(A)
end,
nl
end,
nl.
sudoku(Board) =>
N = ceiling(sqrt(Board.len)),
N2 = N*N,
Vars = Board.vars(),
Vars :: 1..N2,
foreach(Row in Board) all_different(Row) end,
foreach(Column in transpose(Board)) all_different(Column) end,
foreach(I in 1..N..N2, J in 1..N..N2)
all_different([Board[I+K,J+L] : K in 0..N-1, L in 0..N-1])
end,
solve([ffd,inout], Vars).
print_board(Board) =>
N = Board.length,
foreach(I in 1..N)
foreach(J in 1..N)
X = Board[I,J],
if var(X) then printf(" _") else printf(" %w", X) end
end,
nl
end,
nl.
% (Problems from the Groovy implementation)
sudokus(Sudokus) => Sudokus =
[
"819..5.....2...75..371.4.6.4..59.1..7..3.8..2..3.62..7.5.7.921..64...9.....2..438",
"53..247....2...8..1..7.39.2..8.72.49.2.98..7.79.....8.....3.5.696..1.3...5.69..1.",
"..3.2.6..9..3.5..1..18.64....81.29..7.......8..67.82....26.95..8..2.3..9..5.1.3..",
"394..267....3..4..5..69..2..45...9..6.......7..7...58..1..67..8..9..8....264..735",
"97.3...6..6.75.........8.5.......67.....3.....539..2..7...25.....2.1...8.4...73..",
"4......6.5...8.9..3....1....2.7....1.9.....4.8....3.5....2....7..6.5...8.1......6",
"85...24..72......9..4.........1.7..23.5...9...4...........8..7..17..........36.4.",
"..1..5.7.92.6.......8...6...9..2.4.1.........3.4.8..9...7...3.......7.69.1.8..7..",
".9...4..7.....79..8........4.58.....3.......2.....97.6........4..35.....2..6...8.",
"12.3....435....1....4........54..2..6...7.........8.9...31..5.......9.7.....6...8",
"9..2..5...4..6..3...3.....6...9..2......5..8...7..4..37.....1...5..2..4...1..6..9",
"1....7.9..3..2...8..96..5....53..9...1..8...26....4...3......1..4......7..7...3..",
"12.4..3..3...1..5...6...1..7...9.....4.6.3.....3..2...5...8.7....7.....5.......98",
"..............3.85..1.2.......5.7.....4...1...9.......5......73..2.1........4...9",
".......39.....1..5..3.5.8....8.9...6.7...2...1..4.......9.8..5..2....6..4..7.....",
"....839..1......3...4....7..42.3....6.......4....7..1..2........8...92.....25...6",
"..3......4...8..36..8...1...4..6..73...9..........2..5..4.7..686........7..6..5.."
].