*Note: for some extremely rare super-difficult puzzles guessing may be needed, since no known human-technique has yet been developed to solve them. Computers can solve them because the computer-technique is brute-force guessing, and backtracking to try a different number when a guessed number does not lead to solving the puzzle. Due to their incredible speed, computers can get away with this method of solving; humans cannot (nor would it be any fun for them to try.)