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

This Sudoku Puzzle has 58 steps and it is solved using Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Skyscraper, Discontinuous Nice Loop, Naked Single, AIC, Hidden Single, Naked Triple, undefined, Full House, Naked Pair techniques.

Try To Solve This Puzzle

Solution Steps:

  1. Locked Candidates Type 1 (Pointing): 1 in b1 => r3c789<>1
  2. Locked Candidates Type 2 (Claiming): 1 in c8 => r4c7,r5c9<>1
  3. Skyscraper: 9 in r4c8,r6c2 (connected by r7c28) => r4c3,r6c79<>9
  4. Discontinuous Nice Loop: 3/7/9 r7c3 =6= r7c1 -6- r1c1 -7- r9c1 -5- r2c1 =5= r2c3 =6= r7c3 => r7c3<>3, r7c3<>7, r7c3<>9
  5. Row 7 / Column 3 → 6 (Naked Single)
  6. AIC: 8 8- r3c8 =8= r3c7 =4= r3c9 -4- r8c9 =4= r8c1 =8= r8c3 -8- r6c3 =8= r6c7 -8 => r3c7,r4c8<>8
  7. Row 3 / Column 8 → 8 (Hidden Single)
  8. Discontinuous Nice Loop: 3 r2c1 -3- r7c1 =3= r7c2 =9= r9c3 -9- r9c9 =9= r2c9 =6= r2c1 => r2c1<>3
  9. Naked Triple: 5,6,7 in r129c1 => r48c1<>5, r47c1<>7
  10. Discontinuous Nice Loop: 3 r3c3 -3- r2c3 -5- r2c1 =5= r9c1 -5- r8c2 -1- r3c2 =1= r3c3 => r3c3<>3
  11. Discontinuous Nice Loop: 3/5/7 r6c7 =8= r6c3 =9= r9c3 -9- r9c9 =9= r2c9 -9- r2c7 -3- r2c3 =3= r3c2 -3- r7c2 =3= r7c1 -3- r4c1 -8- r4c7 =8= r6c7 => r6c7<>3, r6c7<>5, r6c7<>7
  12. Row 6 / Column 7 → 8 (Naked Single)
  13. AIC: 7 7- r7c8 -9- r4c8 =9= r4c7 =5= r9c7 -5- r9c1 -7 => r7c2,r9c79<>7
  14. W-Wing: 9/3 in r2c7,r7c2 connected by 3 in r2c3,r3c2 => r7c7<>9
  15. XY-Chain: 3 3- r4c1 -8- r8c1 -4- r7c1 -3- r7c2 -9- r7c8 -7- r5c8 -1- r5c4 -3 => r4c4,r5c2<>3
  16. Row 4 / Column 4 → 1 (Naked Single)
  17. Row 5 / Column 4 → 3 (Full House)
  18. Row 5 / Column 8 → 1 (Hidden Single)
  19. Discontinuous Nice Loop: 3/5/7 r6c3 =9= r6c2 -9- r7c2 -3- r3c2 =3= r2c3 -3- r2c7 -9- r2c9 =9= r9c9 -9- r9c3 =9= r6c3 => r6c3<>3, r6c3<>5, r6c3<>7
  20. Row 6 / Column 3 → 9 (Naked Single)
  21. Row 7 / Column 2 → 9 (Hidden Single)
  22. Row 7 / Column 8 → 7 (Naked Single)
  23. Row 4 / Column 8 → 9 (Full House)
  24. Row 7 / Column 7 → 4 (Naked Single)
  25. Row 7 / Column 1 → 3 (Full House)
  26. Row 4 / Column 1 → 8 (Naked Single)
  27. Row 8 / Column 1 → 4 (Naked Single)
  28. Row 3 / Column 9 → 4 (Hidden Single)
  29. Row 8 / Column 3 → 8 (Hidden Single)
  30. X-Wing: 5 r58 c29 => r6c29,r9c9<>5
  31. Row 6 / Column 5 → 5 (Hidden Single)
  32. Row 4 / Column 5 → 7 (Full House)
  33. Locked Candidates Type 1 (Pointing): 7 in b4 => r3c2<>7
  34. Locked Candidates Type 1 (Pointing): 7 in b6 => r1c9<>7
  35. Naked Pair: 3,5 in r24c3 => r9c3<>5
  36. Skyscraper: 3 in r3c2,r4c3 (connected by r34c7) => r2c3,r6c2<>3
  37. Row 2 / Column 3 → 5 (Naked Single)
  38. Row 6 / Column 2 → 7 (Naked Single)
  39. Row 6 / Column 9 → 3 (Full House)
  40. Row 2 / Column 1 → 6 (Naked Single)
  41. Row 4 / Column 3 → 3 (Naked Single)
  42. Row 5 / Column 2 → 5 (Full House)
  43. Row 4 / Column 7 → 5 (Full House)
  44. Row 5 / Column 9 → 7 (Full House)
  45. Row 1 / Column 1 → 7 (Naked Single)
  46. Row 9 / Column 1 → 5 (Full House)
  47. Row 2 / Column 9 → 9 (Naked Single)
  48. Row 2 / Column 7 → 3 (Full House)
  49. Row 8 / Column 2 → 1 (Naked Single)
  50. Row 3 / Column 2 → 3 (Full House)
  51. Row 3 / Column 3 → 1 (Full House)
  52. Row 3 / Column 7 → 7 (Full House)
  53. Row 8 / Column 9 → 5 (Full House)
  54. Row 9 / Column 3 → 7 (Full House)
  55. Row 1 / Column 7 → 1 (Naked Single)
  56. Row 1 / Column 9 → 6 (Full House)
  57. Row 9 / Column 9 → 1 (Full House)
  58. Row 9 / Column 7 → 9 (Full House)
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