Initialize domains for all cells to be used in consistency checking. Return domains and domain sizes.
Read input data from file filename and perform consistency check on it. Return input board, updated domains, and updated domain sizes.
Return string representation of board board.
Write string representation of board board to file filename.
Perform consistency check for board with domains domains and domain sizes dom_sizes after having value k entered in cell (i,j). Return updated domains, updated domain_sizes, and consistency flag.
Use backtrack search to find a value for cell cell_id (numbered left to right then top to bottom) in board board with domains domains and domain sizes dom_sizes. Return consistency flag, updated board, updated domains, and updated domain sizes.
Execute backtrack search to solve board board with domains domains and domain sizes dom_sizes and print solved board. Return flag indicating if puzzle was solved and solved board if puzzle was solvable.