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

This Sudoku Puzzle has 54 steps and it is solved using Locked Triple, Hidden Single, Naked Single, Locked Candidates Type 1 (Pointing), undefined, Full House, Naked Pair techniques.

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

Solution Steps:

  1. Locked Triple: 3,5,6 in r456c4 => r1c4,r56c6<>5, r3c4,r4c5,r56c6<>3, r4c5,r7c4<>6
  2. Row 1 / Column 6 → 5 (Hidden Single)
  3. Row 1 / Column 4 → 4 (Hidden Single)
  4. Row 7 / Column 4 → 9 (Naked Single)
  5. Row 3 / Column 4 → 2 (Naked Single)
  6. Locked Candidates Type 1 (Pointing): 1 in b7 => r8c56<>1
  7. Locked Candidates Type 1 (Pointing): 2 in b9 => r46c7<>2
  8. Locked Candidates Type 1 (Pointing): 4 in b9 => r4c7<>4
  9. Locked Candidates Type 1 (Pointing): 6 in b9 => r3456c7<>6
  10. XY-Chain: 6 6- r3c9 -9- r2c9 -4- r2c8 -3- r5c8 -6 => r1c8,r45c9<>6
  11. XY-Chain: 6 6- r1c2 -1- r3c3 -6- r3c9 -9- r5c9 -7- r5c6 -8- r4c5 -1- r6c6 -7- r6c3 -6 => r3c3,r456c2<>6
  12. Row 3 / Column 3 → 1 (Naked Single)
  13. Row 1 / Column 2 → 6 (Full House)
  14. Row 8 / Column 3 → 7 (Naked Single)
  15. Row 6 / Column 3 → 6 (Full House)
  16. Row 8 / Column 2 → 1 (Full House)
  17. Row 1 / Column 9 → 2 (Naked Single)
  18. Row 1 / Column 8 → 1 (Full House)
  19. Row 3 / Column 9 → 6 (Hidden Single)
  20. Naked Pair: 2,3 in r6c18 => r6c47<>3
  21. Row 6 / Column 4 → 5 (Naked Single)
  22. Row 5 / Column 7 → 5 (Hidden Single)
  23. W-Wing: 8/7 in r4c2,r5c6 connected by 7 in r6c26 => r4c5,r5c2<>8
  24. Row 4 / Column 5 → 1 (Naked Single)
  25. Row 4 / Column 7 → 3 (Naked Single)
  26. Row 6 / Column 6 → 7 (Naked Single)
  27. Row 7 / Column 5 → 6 (Naked Single)
  28. Row 3 / Column 7 → 9 (Naked Single)
  29. Row 4 / Column 1 → 2 (Naked Single)
  30. Row 6 / Column 1 → 3 (Full House)
  31. Row 4 / Column 4 → 6 (Naked Single)
  32. Row 5 / Column 4 → 3 (Full House)
  33. Row 5 / Column 6 → 8 (Full House)
  34. Row 5 / Column 8 → 6 (Naked Single)
  35. Row 6 / Column 8 → 2 (Naked Single)
  36. Row 6 / Column 2 → 9 (Naked Single)
  37. Row 6 / Column 7 → 1 (Full House)
  38. Row 7 / Column 7 → 4 (Naked Single)
  39. Row 7 / Column 6 → 1 (Full House)
  40. Row 8 / Column 5 → 3 (Naked Single)
  41. Row 2 / Column 9 → 4 (Naked Single)
  42. Row 2 / Column 8 → 3 (Full House)
  43. Row 4 / Column 8 → 4 (Full House)
  44. Row 2 / Column 5 → 9 (Full House)
  45. Row 3 / Column 5 → 8 (Full House)
  46. Row 3 / Column 6 → 3 (Full House)
  47. Row 5 / Column 2 → 7 (Naked Single)
  48. Row 4 / Column 2 → 8 (Full House)
  49. Row 4 / Column 9 → 7 (Full House)
  50. Row 5 / Column 9 → 9 (Full House)
  51. Row 9 / Column 7 → 2 (Naked Single)
  52. Row 8 / Column 7 → 6 (Full House)
  53. Row 8 / Column 6 → 2 (Full House)
  54. Row 9 / Column 6 → 4 (Full House)
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