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7
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1

This Sudoku Puzzle has 84 steps and it is solved using Locked Triple, Naked Single, Locked Candidates Type 1 (Pointing), AIC, Discontinuous Nice Loop, Naked Pair, Full House, Hidden Single, undefined, Locked Pair techniques.

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

Solution Steps:

  1. Locked Triple: 5,8,9 in r123c6 => r2c4,r5c6<>5, r1c5,r2c4,r56c6<>8, r2c4,r8c6<>9
  2. Row 8 / Column 6 → 4 (Naked Single)
  3. Locked Candidates Type 1 (Pointing): 2 in b3 => r9c9<>2
  4. Locked Candidates Type 1 (Pointing): 3 in b3 => r7c8<>3
  5. Locked Candidates Type 1 (Pointing): 1 in b7 => r56c2<>1
  6. Locked Candidates Type 1 (Pointing): 3 in b8 => r5c4<>3
  7. Locked Candidates Type 1 (Pointing): 6 in b9 => r13c8<>6
  8. AIC: 8 8- r4c1 -4- r9c1 =4= r9c2 =1= r9c9 -1- r6c9 -9- r6c7 -8 => r4c8,r6c2<>8
  9. Discontinuous Nice Loop: 7 r1c1 -7- r1c5 =7= r4c5 =4= r6c5 -4- r6c2 -3- r2c2 =3= r1c1 => r1c1<>7
  10. Locked Candidates Type 1 (Pointing): 7 in b1 => r89c2<>7
  11. AIC: 6/7 7- r3c2 =7= r2c2 -7- r2c4 -2- r2c9 =2= r1c9 =6= r3c9 -6 => r3c2<>6, r3c9<>7
  12. Discontinuous Nice Loop: 5/9 r3c9 =6= r3c3 =4= r3c2 =7= r2c2 -7- r2c4 -2- r2c9 =2= r1c9 =6= r3c9 => r3c9<>5, r3c9<>9
  13. Row 3 / Column 9 → 6 (Naked Single)
  14. Discontinuous Nice Loop: 8 r1c1 -8- r4c1 -4- r6c2 -3- r2c2 =3= r1c1 => r1c1<>8
  15. Discontinuous Nice Loop: 9 r1c9 -9- r6c9 =9= r6c7 =8= r6c5 -8- r9c5 -2- r1c5 =2= r1c9 => r1c9<>9
  16. Naked Pair: 2,7 in r1c59 => r1c8<>7
  17. AIC: 8 8- r1c8 -3- r1c1 =3= r5c1 -3- r5c6 -1- r6c6 =1= r6c9 =9= r2c9 -9- r2c3 -8 => r1c3,r2c8<>8
  18. Discontinuous Nice Loop: 9 r2c6 -9- r2c9 =9= r6c9 =1= r6c6 =3= r6c2 -3- r2c2 =3= r2c8 -3- r1c8 -8- r1c6 -9- r2c6 => r2c6<>9
  19. Discontinuous Nice Loop: 5 r2c8 -5- r2c6 -8- r1c6 =8= r1c8 =3= r2c8 => r2c8<>5
  20. Discontinuous Nice Loop: 9 r3c3 -9- r3c7 =9= r6c7 =8= r6c5 =4= r6c2 -4- r3c2 =4= r3c3 => r3c3<>9
  21. Discontinuous Nice Loop: 5 r3c7 -5- r7c7 =5= r7c8 =6= r8c8 =1= r9c9 -1- r6c9 -9- r6c7 =9= r3c7 => r3c7<>5
  22. Discontinuous Nice Loop: 7 r3c7 -7- r2c8 -3- r1c8 -8- r1c6 -9- r3c6 =9= r3c7 => r3c7<>7
  23. Naked Pair: 8,9 in r36c7 => r5c7<>8
  24. AIC: 3 3- r5c6 -1- r6c6 =1= r6c9 =9= r6c7 =8= r5c8 =4= r4c8 -4- r4c5 =4= r6c5 -4- r6c2 -3 => r5c12,r6c6<>3
  25. Row 6 / Column 6 → 1 (Naked Single)
  26. Row 5 / Column 6 → 3 (Naked Single)
  27. Row 6 / Column 9 → 9 (Naked Single)
  28. Row 6 / Column 7 → 8 (Naked Single)
  29. Row 3 / Column 7 → 9 (Naked Single)
  30. Row 6 / Column 5 → 4 (Naked Single)
  31. Row 6 / Column 2 → 3 (Full House)
  32. Row 1 / Column 1 → 3 (Hidden Single)
  33. Row 1 / Column 8 → 8 (Naked Single)
  34. Row 1 / Column 6 → 9 (Naked Single)
  35. Row 1 / Column 3 → 6 (Naked Single)
  36. Row 2 / Column 3 → 9 (Hidden Single)
  37. Row 2 / Column 8 → 3 (Hidden Single)
  38. W-Wing: 7/5 in r3c8,r5c7 connected by 5 in r7c78 => r45c8<>7
  39. Locked Candidates Type 1 (Pointing): 7 in b6 => r5c4<>7
  40. XY-Chain: 4 4- r3c3 -8- r2c2 -7- r2c4 -2- r1c5 -7- r4c5 -8- r4c1 -4 => r45c3<>4
  41. Row 3 / Column 3 → 4 (Hidden Single)
  42. Locked Candidates Type 1 (Pointing): 8 in b1 => r579c2<>8
  43. XY-Chain: 2 2- r7c2 -6- r7c8 -5- r3c8 -7- r1c9 -2- r1c5 -7- r4c5 -8- r5c4 -5- r5c7 -7- r8c7 -2 => r7c7,r8c2<>2
  44. XY-Chain: 2 2- r7c2 -6- r7c8 -5- r3c8 -7- r1c9 -2- r1c5 -7- r4c5 -8- r9c5 -2 => r7c4,r9c2<>2
  45. XY-Chain: 4 4- r4c1 -8- r4c5 -7- r1c5 -2- r1c9 -7- r9c9 -1- r9c2 -4 => r5c2,r9c1<>4
  46. Row 9 / Column 2 → 4 (Hidden Single)
  47. Row 9 / Column 9 → 1 (Hidden Single)
  48. Row 8 / Column 2 → 1 (Hidden Single)
  49. Locked Pair: 5,7 in r5c79 => r45c8,r5c4<>5
  50. Row 5 / Column 4 → 8 (Naked Single)
  51. Row 4 / Column 5 → 7 (Naked Single)
  52. Row 4 / Column 4 → 5 (Full House)
  53. Row 1 / Column 5 → 2 (Naked Single)
  54. Row 1 / Column 9 → 7 (Full House)
  55. Row 9 / Column 5 → 8 (Full House)
  56. Row 2 / Column 4 → 7 (Naked Single)
  57. Row 3 / Column 8 → 5 (Naked Single)
  58. Row 2 / Column 9 → 2 (Full House)
  59. Row 5 / Column 9 → 5 (Full House)
  60. Row 9 / Column 1 → 7 (Naked Single)
  61. Row 2 / Column 2 → 8 (Naked Single)
  62. Row 2 / Column 6 → 5 (Full House)
  63. Row 3 / Column 6 → 8 (Full House)
  64. Row 3 / Column 2 → 7 (Full House)
  65. Row 7 / Column 8 → 6 (Naked Single)
  66. Row 5 / Column 7 → 7 (Naked Single)
  67. Row 7 / Column 2 → 2 (Naked Single)
  68. Row 5 / Column 2 → 6 (Full House)
  69. Row 8 / Column 8 → 7 (Naked Single)
  70. Row 8 / Column 7 → 2 (Naked Single)
  71. Row 7 / Column 3 → 8 (Naked Single)
  72. Row 5 / Column 1 → 4 (Naked Single)
  73. Row 8 / Column 4 → 9 (Naked Single)
  74. Row 8 / Column 1 → 6 (Full House)
  75. Row 7 / Column 1 → 9 (Full House)
  76. Row 4 / Column 1 → 8 (Full House)
  77. Row 9 / Column 7 → 3 (Naked Single)
  78. Row 7 / Column 7 → 5 (Full House)
  79. Row 7 / Column 4 → 3 (Full House)
  80. Row 9 / Column 4 → 2 (Full House)
  81. Row 4 / Column 3 → 1 (Naked Single)
  82. Row 4 / Column 8 → 4 (Full House)
  83. Row 5 / Column 8 → 1 (Full House)
  84. Row 5 / Column 3 → 2 (Full House)
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