Solution for Hard Sudoku #3112876943518

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

This Sudoku Puzzle has 61 steps and it is solved using Hidden Single, Locked Triple, Naked Single, Locked Candidates Type 1 (Pointing), Naked Pair, undefined, Skyscraper, Full House techniques.

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

Solution Steps:

  1. Row 8 / Column 8 → 2 (Hidden Single)
  2. Locked Triple: 2,7,8 in r456c3 => r3c3,r5c1<>7, r37c3,r46c2,r5c1<>8, r46c2<>2
  3. Row 5 / Column 1 → 4 (Naked Single)
  4. Row 5 / Column 7 → 2 (Naked Single)
  5. Locked Candidates Type 1 (Pointing): 3 in b4 => r8c2<>3
  6. Locked Candidates Type 1 (Pointing): 9 in b4 => r23c2<>9
  7. Locked Candidates Type 1 (Pointing): 9 in b6 => r7c7<>9
  8. Naked Pair: 7,8 in r5c39 => r5c46<>7, r5c4<>8
  9. X-Wing: 6 c37 r37 => r3c2568,r7c2458<>6
  10. Skyscraper: 6 in r8c5,r9c8 (connected by r2c58) => r9c46<>6
  11. Row 9 / Column 8 → 6 (Hidden Single)
  12. Row 3 / Column 7 → 6 (Hidden Single)
  13. Row 3 / Column 3 → 5 (Naked Single)
  14. Row 7 / Column 3 → 6 (Naked Single)
  15. Row 7 / Column 8 → 1 (Hidden Single)
  16. Row 7 / Column 2 → 8 (Naked Single)
  17. Row 3 / Column 2 → 4 (Naked Single)
  18. Row 8 / Column 1 → 3 (Naked Single)
  19. Row 8 / Column 2 → 1 (Naked Single)
  20. Row 9 / Column 1 → 5 (Full House)
  21. Row 8 / Column 9 → 4 (Naked Single)
  22. Row 7 / Column 7 → 5 (Naked Single)
  23. Row 8 / Column 6 → 6 (Naked Single)
  24. Row 8 / Column 5 → 8 (Full House)
  25. Row 4 / Column 7 → 9 (Naked Single)
  26. Row 6 / Column 7 → 4 (Full House)
  27. Row 7 / Column 9 → 9 (Naked Single)
  28. Row 9 / Column 9 → 3 (Full House)
  29. Row 5 / Column 6 → 1 (Naked Single)
  30. Row 4 / Column 2 → 3 (Naked Single)
  31. Row 7 / Column 4 → 7 (Naked Single)
  32. Row 7 / Column 5 → 4 (Full House)
  33. Row 5 / Column 4 → 6 (Naked Single)
  34. Row 9 / Column 6 → 9 (Naked Single)
  35. Row 9 / Column 4 → 1 (Full House)
  36. Row 4 / Column 5 → 7 (Naked Single)
  37. Row 6 / Column 2 → 9 (Naked Single)
  38. Row 1 / Column 4 → 2 (Naked Single)
  39. Row 3 / Column 6 → 7 (Naked Single)
  40. Row 2 / Column 5 → 6 (Naked Single)
  41. Row 3 / Column 5 → 1 (Naked Single)
  42. Row 6 / Column 5 → 3 (Full House)
  43. Row 4 / Column 6 → 2 (Naked Single)
  44. Row 6 / Column 4 → 8 (Full House)
  45. Row 2 / Column 4 → 9 (Full House)
  46. Row 1 / Column 6 → 4 (Full House)
  47. Row 1 / Column 2 → 6 (Naked Single)
  48. Row 2 / Column 2 → 2 (Full House)
  49. Row 3 / Column 8 → 8 (Naked Single)
  50. Row 3 / Column 1 → 9 (Full House)
  51. Row 4 / Column 3 → 8 (Naked Single)
  52. Row 4 / Column 8 → 5 (Full House)
  53. Row 6 / Column 8 → 7 (Naked Single)
  54. Row 2 / Column 8 → 4 (Full House)
  55. Row 5 / Column 9 → 8 (Full House)
  56. Row 5 / Column 3 → 7 (Full House)
  57. Row 6 / Column 3 → 2 (Full House)
  58. Row 2 / Column 1 → 7 (Naked Single)
  59. Row 1 / Column 1 → 8 (Full House)
  60. Row 1 / Column 9 → 7 (Full House)
  61. Row 2 / Column 9 → 5 (Full House)
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