Is every Sudoku solvable?

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Tags

1. #possible
2. #would
3. #irrelevant
4. #every
5. #sudoku
6. #whether
7. #could
8. #multiple
9. #proper
10. #which
11. #solutions
12. #guessing
13. #guess
14. #solution
15. #puzzle
16. #without
17. #solved
18. #improper
19. #guesses