2
9
6
7
3
4
5
8
1
4
1
3
8
5
6
2
7
9
7
8
5
2
9
1
4
3
6
4
2
9
6
5
7
6
1
3
7
6
5
1
3
8
9
4
2
8
1
3
9
2
4
6
5
7
1
4
9
8
7
5
3
6
2
3
2
7
6
9
1
5
8
4
5
6
8
3
4
2
1
7
9

This Sudoku Puzzle has 45 steps and it is solved using Naked Single, Hidden Single, Locked Pair, Full House, Uniqueness Test 1, Bivalue Universal Grave + 1 techniques.

Naked Single Explanation
Hidden Single Explanation
Full House Explanation
Try To Solve This Puzzle

Solution Steps:

  1. Row 9 / Column 4 → 5 (Naked Single)
  2. Row 5 / Column 6 → 8 (Hidden Single)
  3. Row 2 / Column 7 → 2 (Hidden Single)
  4. Row 5 / Column 8 → 2 (Hidden Single)
  5. Row 8 / Column 3 → 5 (Hidden Single)
  6. Row 1 / Column 7 → 7 (Hidden Single)
  7. Row 5 / Column 4 → 1 (Hidden Single)
  8. Row 4 / Column 8 → 1 (Hidden Single)
  9. Locked Pair: 6,9 in r56c1 => r23c1,r4c3<>6, r4c3,r7c1<>9
  10. Row 7 / Column 1 → 1 (Naked Single)
  11. Row 7 / Column 3 → 9 (Full House)
  12. Row 4 / Column 3 → 9 (Naked Single)
  13. Row 4 / Column 5 → 6 (Naked Single)
  14. Row 5 / Column 1 → 6 (Naked Single)
  15. Row 5 / Column 7 → 9 (Full House)
  16. Row 6 / Column 7 → 6 (Full House)
  17. Row 6 / Column 1 → 6 (Naked Single)
  18. Row 6 / Column 6 → 2 (Naked Single)
  19. Row 8 / Column 5 → 9 (Naked Single)
  20. Row 8 / Column 4 → 6 (Full House)
  21. Row 6 / Column 5 → 4 (Naked Single)
  22. Row 6 / Column 4 → 9 (Full House)
  23. Row 1 / Column 4 → 4 (Naked Single)
  24. Row 3 / Column 4 → 2 (Full House)
  25. Row 7 / Column 6 → 7 (Naked Single)
  26. Row 2 / Column 6 → 6 (Full House)
  27. Row 9 / Column 5 → 8 (Naked Single)
  28. Row 7 / Column 5 → 2 (Full House)
  29. Row 9 / Column 8 → 7 (Full House)
  30. Row 2 / Column 3 → 4 (Hidden Single)
  31. Uniqueness Test 1: 6/8 in r1c89,r7c89 => r1c9<>6, r1c9<>8
  32. Row 1 / Column 8 → 8 (Hidden Single)
  33. Row 7 / Column 8 → 6 (Full House)
  34. Row 7 / Column 9 → 8 (Full House)
  35. Row 1 / Column 3 → 6 (Hidden Single)
  36. Row 3 / Column 3 → 1 (Naked Single)
  37. Row 3 / Column 9 → 6 (Hidden Single)
  38. Bivalue Universal Grave + 1 => r2c5<>1, r2c5<>7
  39. Row 2 / Column 5 → 5 (Naked Single)
  40. Row 1 / Column 5 → 1 (Naked Single)
  41. Row 3 / Column 5 → 7 (Full House)
  42. Row 1 / Column 9 → 5 (Full House)
  43. Row 2 / Column 9 → 1 (Full House)
  44. Row 2 / Column 1 → 7 (Full House)
  45. Row 3 / Column 1 → 5 (Full House)
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