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10

To start things off, here are three disjoint clue sets with the same solution. . . . 1 9 . . . . . 8 . . . 2 . 4 . 7 . 6 . . . 5 . 3 . 4 . . . 3 . . . 5 . 9 . 6 . 2 . 1 . . . 7 . . . 8 . . . 1 . . 4 7 . . 3 . . . . . . 6 . . 2 . 8 5 . . . 9 . . . . . . 6 . 8 . 3 . . 4 7 . 2 . 1 . 5 9 . . . . . . 9 8 . . . . 7 . 2 ...


35

Here are two proper, irreducible sudoku with the same solution as each other and disjoint sets of clues (24 & 25 clues, respectively). 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 ·-------·-------·-------· ·-------·-------·-------· A| · · · | 4 · · | 7 · · | A| 1 2 3 | 4 5 6 | 7 8 9 | B| · · 6 | · 8 · | 1 · · | B| 4 5 6 | 7 8 9 |...


12

Yes, it's completely possible that two Sudoku puzzles with disjoint clues have the same solution. The two puzzles below: 123|456| 89 | |7 4 6|7 9|12 5 | 8 | 3 78 | 23|4 9|1 | 56 ---+---+--- ---+---+--- 3 |567| 2 4| |891 567|8 | | 1|234 891| |5 7 |234| 6 ---+---+--- ---+---+--- 34 | 8|9 5|67 ...


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