![]() ![]() Once the unavoidable sets are found, it is a much smaller-although still non-trivial-computing task to show that no 16-clue puzzle can hit them all. To prevent the unavoidable sets from causing multiple solutions, the clues must overlap, or 'hit', the unavoidable sets. ![]() The idea behind this was to search for what he calls unavoidable sets, or arrangements of numbers within the completed puzzle that are interchangeable and so could result in multiple solutions. website offers free service of generating PDF files with sudokus, that you can print. So McGuire simplified the problem by designing a 'hitting-set algorithm'. A potential way to demonstrate that could be to check all possible completed grids for every 16-clue puzzle, but that would take too much computing time. That led to the conjecture that 16-clue puzzles with unique solutions simply do not exist. Use my blank Sudoku grid with candidates worksheet to save time in finding. The clues are the numbers that are filled in to begin with, and enthusiasts have long observed that although there are some puzzles with 17 clues, no one has been able to come up with a valid 16-clue puzzle. To make solving these puzzles so much easier. The rules of Sudoku require puzzlers to fill out a 9X9 grid with the numbers 1–9 so that no digit is repeated within the same column, row, or 3X3 subgrid. ![]()
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