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I am currently stuck at this puzzle where I can't think of the next move without guessing it. I was surprised to be in this situation after solving ~70-80% of the puzzle. I thought for all possible logical ways but I couldn't figure out the next move without guessing something.

┌───┬───┬───┬───┬───┬───┬───┬───┬───┐
│ 3 │ 8 │ 4 │ 6 │ 2 │ 1 │ 9 │ 7 │ 5 │
│ 9 │ 5 │ 2 │   │   │   │ 4 │ 6 │ 1 │
│ 1 │ 6 │ 7 │ 5 │ 9 │ 4 │ 3 │ 2 │ 8 │
│───┼───┼───│───┼───┼───│───┼───┼───│
│ 5 │ 2 │ 3 │ 4 │ 7 │ 8 │ 6 │ 1 │ 9 │
│ 6 │ 4 │ 9 │   │ 1 │   │ 8 │ 5 │ 7 │
│ 8 │ 7 │ 1 │ 9 │ 6 │ 5 │ 2 │   │   │
│───┼───┼───│───┼───┼───│───┼───┼───│
│   │ 9 │ 6 │   │ 5 │   │ 1 │   │   │
│   │ 1 │ 8 │   │   │ 6 │ 5 │ 9 │   │
│ 2 │ 3 │ 5 │ 1 │   │ 9 │ 7 │   │ 6 │
└───┴───┴───┴───┴───┴───┴───┴───┴───┘

Can someone explain the next logical move I should do?

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1 Answer 1

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Unfortunately this seems to be an invalid Sudoku. It has multiple solutions, and therefore there is no logical next move.

Solution 1 +---+---+---+---+---+---+---+---+---+ | 3 | 8 | 4 | 6 | 2 | 1 | 9 | 7 | 5 | | 9 | 5 | 2 | 3 | 8 | 7 | 4 | 6 | 1 | | 1 | 6 | 7 | 5 | 9 | 4 | 3 | 2 | 8 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 5 | 2 | 3 | 4 | 7 | 8 | 6 | 1 | 9 | | 6 | 4 | 9 | 2 | 1 | 3 | 8 | 5 | 7 | | 8 | 7 | 1 | 9 | 6 | 5 | 2 | 3 | 4 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 7 | 9 | 6 | 8 | 5 | 2 | 1 | 4 | 3 | | 4 | 1 | 8 | 7 | 3 | 6 | 5 | 9 | 2 | | 2 | 3 | 5 | 1 | 4 | 9 | 7 | 8 | 6 | +---+---+---+---+---+---+---+---+---+ Solution 2 +---+---+---+---+---+---+---+---+---+ | 3 | 8 | 4 | 6 | 2 | 1 | 9 | 7 | 5 | | 9 | 5 | 2 | 3 | 8 | 7 | 4 | 6 | 1 | | 1 | 6 | 7 | 5 | 9 | 4 | 3 | 2 | 8 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 5 | 2 | 3 | 4 | 7 | 8 | 6 | 1 | 9 | | 6 | 4 | 9 | 2 | 1 | 3 | 8 | 5 | 7 | | 8 | 7 | 1 | 9 | 6 | 5 | 2 | 4 | 3 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 7 | 9 | 6 | 8 | 5 | 2 | 1 | 3 | 4 | | 4 | 1 | 8 | 7 | 3 | 6 | 5 | 9 | 2 | | 2 | 3 | 5 | 1 | 4 | 9 | 7 | 8 | 6 | +---+---+---+---+---+---+---+---+---+ Solution 3 +---+---+---+---+---+---+---+---+---+ | 3 | 8 | 4 | 6 | 2 | 1 | 9 | 7 | 5 | | 9 | 5 | 2 | 7 | 8 | 3 | 4 | 6 | 1 | | 1 | 6 | 7 | 5 | 9 | 4 | 3 | 2 | 8 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 5 | 2 | 3 | 4 | 7 | 8 | 6 | 1 | 9 | | 6 | 4 | 9 | 3 | 1 | 2 | 8 | 5 | 7 | | 8 | 7 | 1 | 9 | 6 | 5 | 2 | 4 | 3 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 4 | 9 | 6 | 8 | 5 | 7 | 1 | 3 | 2 | | 7 | 1 | 8 | 2 | 3 | 6 | 5 | 9 | 4 | | 2 | 3 | 5 | 1 | 4 | 9 | 7 | 8 | 6 | +---+---+---+---+---+---+---+---+---+ Solution 4 +---+---+---+---+---+---+---+---+---+ | 3 | 8 | 4 | 6 | 2 | 1 | 9 | 7 | 5 | | 9 | 5 | 2 | 8 | 3 | 7 | 4 | 6 | 1 | | 1 | 6 | 7 | 5 | 9 | 4 | 3 | 2 | 8 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 5 | 2 | 3 | 4 | 7 | 8 | 6 | 1 | 9 | | 6 | 4 | 9 | 2 | 1 | 3 | 8 | 5 | 7 | | 8 | 7 | 1 | 9 | 6 | 5 | 2 | 3 | 4 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 4 | 9 | 6 | 7 | 5 | 2 | 1 | 8 | 3 | | 7 | 1 | 8 | 3 | 4 | 6 | 5 | 9 | 2 | | 2 | 3 | 5 | 1 | 8 | 9 | 7 | 4 | 6 | +---+---+---+---+---+---+---+---+---+ Solution 5 +---+---+---+---+---+---+---+---+---+ | 3 | 8 | 4 | 6 | 2 | 1 | 9 | 7 | 5 | | 9 | 5 | 2 | 8 | 3 | 7 | 4 | 6 | 1 | | 1 | 6 | 7 | 5 | 9 | 4 | 3 | 2 | 8 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 5 | 2 | 3 | 4 | 7 | 8 | 6 | 1 | 9 | | 6 | 4 | 9 | 3 | 1 | 2 | 8 | 5 | 7 | | 8 | 7 | 1 | 9 | 6 | 5 | 2 | 3 | 4 | │───┼───┼───│───┼───┼───│───┼───┼───│ | 4 | 9 | 6 | 7 | 5 | 3 | 1 | 8 | 2 | | 7 | 1 | 8 | 2 | 4 | 6 | 5 | 9 | 3 | | 2 | 3 | 5 | 1 | 8 | 9 | 7 | 4 | 6 | +---+---+---+---+---+---+---+---+---+

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