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

This Sudoku Puzzle has 67 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Naked Triple, undefined, Finned Swordfish, Continuous Nice Loop, Discontinuous Nice Loop, Naked Single, Full House techniques.

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

Solution Steps:

  1. Row 2 / Column 8 → 7 (Hidden Single)
  2. Row 5 / Column 7 → 5 (Hidden Single)
  3. Row 9 / Column 2 → 5 (Hidden Single)
  4. Row 9 / Column 9 → 3 (Hidden Single)
  5. Row 6 / Column 1 → 7 (Hidden Single)
  6. Row 3 / Column 1 → 5 (Hidden Single)
  7. Row 1 / Column 8 → 5 (Hidden Single)
  8. Row 7 / Column 6 → 5 (Hidden Single)
  9. Row 6 / Column 4 → 5 (Hidden Single)
  10. Row 6 / Column 8 → 2 (Hidden Single)
  11. Row 4 / Column 1 → 2 (Hidden Single)
  12. Row 3 / Column 3 → 8 (Hidden Single)
  13. Locked Candidates Type 1 (Pointing): 1 in b3 => r1c13<>1
  14. Locked Candidates Type 1 (Pointing): 8 in b6 => r4c246<>8
  15. Row 1 / Column 4 → 8 (Hidden Single)
  16. Row 6 / Column 6 → 8 (Hidden Single)
  17. Row 1 / Column 6 → 6 (Hidden Single)
  18. Row 5 / Column 2 → 8 (Hidden Single)
  19. Row 8 / Column 6 → 2 (Hidden Single)
  20. Row 9 / Column 7 → 2 (Hidden Single)
  21. Row 9 / Column 5 → 7 (Hidden Single)
  22. Naked Triple: 1,4,9 in r138c7 => r47c7<>4, r47c7<>9, r7c7<>1
  23. X-Wing: 3 c35 r15 => r15c1<>3
  24. Finned X-Wing: 1 c35 r67 fr9c3 => r7c1<>1
  25. Sashimi X-Wing: 1 r49 c24 fr9c1 fr9c3 => r8c2<>1
  26. Finned Swordfish: 1 r249 c124 fr9c3 => r8c1<>1
  27. Continuous Nice Loop: 3/4/9 3= r1c5 =2= r1c9 =1= r1c7 -1- r8c7 =1= r8c4 =6= r8c1 =3= r2c1 -3- r2c6 =3= r1c5 =2 => r2c2<>3, r1c59,r8c14<>4, r1c59,r8c1<>9
  28. Discontinuous Nice Loop: 1/4/9 r4c2 =3= r8c2 -3- r8c1 -6- r5c1 =6= r5c3 =3= r4c2 => r4c2<>1, r4c2<>4, r4c2<>9
  29. Row 4 / Column 2 → 3 (Naked Single)
  30. Row 4 / Column 6 → 4 (Naked Single)
  31. Row 2 / Column 6 → 3 (Full House)
  32. Row 1 / Column 5 → 2 (Naked Single)
  33. Row 1 / Column 9 → 1 (Naked Single)
  34. Row 4 / Column 4 → 1 (Hidden Single)
  35. Row 6 / Column 5 → 9 (Naked Single)
  36. Row 5 / Column 5 → 3 (Full House)
  37. Row 8 / Column 4 → 6 (Naked Single)
  38. Row 3 / Column 5 → 4 (Naked Single)
  39. Row 2 / Column 4 → 9 (Full House)
  40. Row 9 / Column 4 → 4 (Full House)
  41. Row 7 / Column 5 → 1 (Full House)
  42. Row 8 / Column 1 → 3 (Naked Single)
  43. Row 3 / Column 7 → 9 (Naked Single)
  44. Row 3 / Column 9 → 2 (Full House)
  45. Row 1 / Column 7 → 4 (Full House)
  46. Row 9 / Column 8 → 8 (Naked Single)
  47. Row 1 / Column 1 → 9 (Naked Single)
  48. Row 1 / Column 3 → 3 (Full House)
  49. Row 8 / Column 7 → 1 (Naked Single)
  50. Row 4 / Column 8 → 9 (Naked Single)
  51. Row 8 / Column 8 → 4 (Full House)
  52. Row 8 / Column 2 → 9 (Full House)
  53. Row 7 / Column 7 → 7 (Naked Single)
  54. Row 4 / Column 7 → 8 (Full House)
  55. Row 4 / Column 9 → 7 (Full House)
  56. Row 5 / Column 9 → 4 (Full House)
  57. Row 7 / Column 9 → 9 (Full House)
  58. Row 7 / Column 3 → 4 (Naked Single)
  59. Row 7 / Column 1 → 8 (Full House)
  60. Row 5 / Column 1 → 6 (Naked Single)
  61. Row 5 / Column 3 → 9 (Full House)
  62. Row 6 / Column 3 → 1 (Naked Single)
  63. Row 6 / Column 2 → 4 (Full House)
  64. Row 9 / Column 3 → 6 (Full House)
  65. Row 9 / Column 1 → 1 (Full House)
  66. Row 2 / Column 2 → 1 (Full House)
  67. Row 2 / Column 1 → 4 (Full House)
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