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2
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8
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9
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6
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6
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9
8

This Sudoku Puzzle has 59 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Naked Quadruple, Naked Single, Locked Candidates Type 2 (Claiming), Hidden Pair, Locked Pair, Full House techniques.

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Solution Steps:

  1. Row 4 / Column 5 → 4 (Hidden Single)
  2. Locked Candidates Type 1 (Pointing): 7 in b7 => r7c456<>7
  3. Naked Quadruple: 1,5,8,9 in r7c456,r8c6 => r8c45<>1, r8c4<>5, r8c45<>8, r8c45<>9
  4. Row 8 / Column 4 → 6 (Naked Single)
  5. Row 8 / Column 5 → 6 (Naked Single)
  6. Locked Candidates Type 2 (Claiming): 6 in r5 => r6c78<>6
  7. Hidden Pair: 3,6 in r8c78 => r8c78<>1, r8c78<>4
  8. Row 8 / Column 7 → 3 (Naked Single)
  9. Row 8 / Column 8 → 3 (Naked Single)
  10. Row 8 / Column 6 → 1 (Hidden Single)
  11. Locked Pair: 4,6 in r23c7 => r23c8,r5c7<>6, r23c8,r7c7<>4
  12. Row 2 / Column 8 → 5 (Naked Single)
  13. Row 3 / Column 8 → 5 (Naked Single)
  14. Row 5 / Column 8 → 6 (Hidden Single)
  15. Row 7 / Column 8 → 4 (Hidden Single)
  16. Row 7 / Column 7 → 1 (Hidden Single)
  17. Locked Pair: 4,9 in r23c2 => r23c3,r45678c2<>9, r23c3,r8c2<>4
  18. Row 2 / Column 3 → 6 (Naked Single)
  19. Row 3 / Column 3 → 6 (Naked Single)
  20. Row 2 / Column 7 → 4 (Naked Single)
  21. Row 3 / Column 7 → 4 (Naked Single)
  22. Row 2 / Column 2 → 9 (Naked Single)
  23. Row 3 / Column 2 → 9 (Naked Single)
  24. Row 8 / Column 3 → 4 (Hidden Single)
  25. Row 8 / Column 2 → 5 (Hidden Single)
  26. Row 7 / Column 3 → 9 (Hidden Single)
  27. Row 7 / Column 5 → 8 (Naked Single)
  28. Row 7 / Column 2 → 7 (Full House)
  29. Row 7 / Column 4 → 5 (Full House)
  30. Row 7 / Column 6 → 5 (Full House)
  31. Row 3 / Column 5 → 1 (Naked Single)
  32. Locked Candidates Type 2 (Claiming): 3 in r2 => r3c46<>3
  33. Row 3 / Column 4 → 8 (Naked Single)
  34. Row 3 / Column 6 → 8 (Naked Single)
  35. Locked Candidates Type 2 (Claiming): 8 in c2 => r456c3<>8
  36. Locked Candidates Type 2 (Claiming): 9 in c4 => r456c6,r56c5<>9
  37. Locked Pair: 2,7 in r56c5 => r2c5,r456c6<>2, r2c5,r4c46,r5c46,r6c46<>7
  38. Row 2 / Column 5 → 7 (Naked Single)
  39. Row 4 / Column 6 → 7 (Naked Single)
  40. Row 5 / Column 6 → 3 (Naked Single)
  41. Row 6 / Column 6 → 3 (Naked Single)
  42. Row 2 / Column 4 → 3 (Naked Single)
  43. Row 5 / Column 5 → 2 (Naked Single)
  44. Row 6 / Column 5 → 2 (Naked Single)
  45. Row 4 / Column 3 → 2 (Naked Single)
  46. Row 2 / Column 6 → 2 (Naked Single)
  47. Row 5 / Column 3 → 7 (Naked Single)
  48. Row 6 / Column 3 → 7 (Naked Single)
  49. Row 4 / Column 8 → 1 (Naked Single)
  50. Row 6 / Column 8 → 1 (Naked Single)
  51. Row 4 / Column 2 → 8 (Naked Single)
  52. Row 4 / Column 4 → 9 (Naked Single)
  53. Row 6 / Column 2 → 8 (Naked Single)
  54. Row 6 / Column 4 → 9 (Naked Single)
  55. Row 4 / Column 7 → 9 (Naked Single)
  56. Row 5 / Column 2 → 1 (Naked Single)
  57. Row 5 / Column 4 → 1 (Naked Single)
  58. Row 6 / Column 7 → 9 (Naked Single)
  59. Row 5 / Column 7 → 8 (Naked Single)
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