Just solved a 'Brutal' Sudoku puzzle, which is the maximum difficulty for the
Math is Fun site. Used the hints function to identify the sure things at the beginning,
thus avoided tiring myself out. This should not be an endurance test. From there,
logically found the rest. Many spots had multiple possible answers, but one could
find the only one in the lot that satisfied all the conditions, coming down to 'this
is the only spot I could eventually put a '1' or whatever!!
Clearly, all of these Sudos could be presented from an already complete board
on which one clears a certain number of tiles. If the player adds a value, computer
knows if it is correct and can output 'solvable' or 'not solvable'. Generating the hints
comes down to the most elementary check with respect to horizontal and vertical
values...
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