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

This Sudoku Puzzle has 91 steps and it is solved using Locked Candidates Type 1 (Pointing), Skyscraper, Discontinuous Nice Loop, Grouped AIC, Hidden Single, AIC, undefined, Empty Rectangle, Sue de Coq, Hidden Pair, Naked Triple, Naked Single, Full House, Locked Candidates Type 2 (Claiming) techniques.

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

Solution Steps:

  1. Locked Candidates Type 1 (Pointing): 2 in b4 => r5c89<>2
  2. Locked Candidates Type 1 (Pointing): 1 in b6 => r5c12<>1
  3. Skyscraper: 9 in r2c3,r6c2 (connected by r26c5) => r3c2,r5c3<>9
  4. Discontinuous Nice Loop: 3 r1c5 -3- r1c3 =3= r2c3 =9= r2c5 -9- r6c5 -7- r4c5 -3- r1c5 => r1c5<>3
  5. Discontinuous Nice Loop: 6 r9c6 -6- r2c6 =6= r2c3 =9= r2c5 -9- r6c5 -7- r6c9 -2- r6c8 =2= r3c8 -2- r3c6 =2= r9c6 => r9c6<>6
  6. Grouped AIC: 3 3- r1c3 =3= r2c3 =9= r2c5 -9- r6c5 -7- r6c9 -2- r1c9 =2= r1c5 =1= r1c79 -1- r2c9 -3 => r1c79,r2c3<>3
  7. Row 1 / Column 3 → 3 (Hidden Single)
  8. AIC: 5 5- r1c4 -6- r2c6 =6= r2c3 =9= r2c5 -9- r6c5 =9= r5c4 =5= r5c6 -5 => r3c6,r5c4<>5
  9. Row 5 / Column 6 → 5 (Hidden Single)
  10. Discontinuous Nice Loop: 5 r1c5 -5- r1c4 -6- r2c6 =6= r2c3 =9= r2c5 -9- r6c5 -7- r6c9 -2- r1c9 =2= r1c5 => r1c5<>5
  11. Finned X-Wing: 5 r18 c47 fr8c5 => r7c4<>5
  12. Discontinuous Nice Loop: 3 r2c6 -3- r3c6 -2- r3c8 =2= r6c8 -2- r6c9 -7- r6c5 -9- r2c5 =9= r2c3 =6= r2c6 => r2c6<>3
  13. Empty Rectangle: 3 in b2 (r4c58) => r3c8<>3
  14. Discontinuous Nice Loop: 3 r3c4 -3- r3c6 -2- r3c8 =2= r6c8 -2- r6c9 -7- r6c5 -9- r5c4 =9= r3c4 => r3c4<>3
  15. 2-String Kite: 3 in r4c8,r7c4 (connected by r4c5,r5c4) => r7c8<>3
  16. Sue de Coq: r2c56 - {13689} (r2c79 - {138}, r13c4 - {569}) => r3c5<>5, r3c5<>9, r2c3<>8
  17. Row 5 / Column 3 → 8 (Hidden Single)
  18. Row 5 / Column 1 → 2 (Hidden Single)
  19. Locked Candidates Type 1 (Pointing): 5 in b2 => r8c4<>5
  20. Locked Candidates Type 1 (Pointing): 9 in b4 => r79c2<>9
  21. Hidden Pair: 2,8 in r36c8 => r3c8<>4, r3c8<>5, r6c8<>6
  22. Locked Candidates Type 1 (Pointing): 5 in b3 => r89c7<>5
  23. Row 8 / Column 5 → 5 (Hidden Single)
  24. Row 8 / Column 3 → 2 (Hidden Single)
  25. Naked Triple: 2,3,8 in r3c568 => r3c27<>8, r3c7<>3
  26. Row 1 / Column 2 → 8 (Hidden Single)
  27. Locked Candidates Type 1 (Pointing): 3 in b3 => r2c5<>3
  28. Empty Rectangle: 4 in b1 (r8c17) => r3c7<>4
  29. Row 3 / Column 7 → 5 (Naked Single)
  30. Row 3 / Column 4 → 9 (Naked Single)
  31. Row 1 / Column 4 → 5 (Hidden Single)
  32. Row 2 / Column 3 → 9 (Hidden Single)
  33. Row 6 / Column 5 → 9 (Hidden Single)
  34. Row 9 / Column 1 → 9 (Hidden Single)
  35. Row 5 / Column 2 → 9 (Hidden Single)
  36. Row 1 / Column 1 → 6 (Hidden Single)
  37. Row 2 / Column 6 → 6 (Hidden Single)
  38. Row 7 / Column 9 → 9 (Hidden Single)
  39. Row 4 / Column 1 → 1 (Hidden Single)
  40. Locked Candidates Type 1 (Pointing): 1 in b2 => r79c5<>1
  41. Locked Candidates Type 1 (Pointing): 4 in b4 => r4c8<>4
  42. Locked Candidates Type 1 (Pointing): 3 in b9 => r9c56<>3
  43. Naked Triple: 4,6,7 in r79c3,r8c1 => r79c2<>4, r79c2<>6, r79c2<>7
  44. Locked Candidates Type 1 (Pointing): 6 in b7 => r4c3<>6
  45. AIC: 1/5 5- r7c2 -1- r7c6 -3- r7c4 =3= r5c4 -3- r4c5 =3= r4c8 =6= r6c7 =8= r6c8 =2= r3c8 -2- r3c6 =2= r9c6 =1= r9c2 -1 => r7c2<>1, r9c2<>5
  46. Row 7 / Column 2 → 5 (Naked Single)
  47. Row 9 / Column 2 → 1 (Naked Single)
  48. Row 9 / Column 6 → 2 (Naked Single)
  49. Row 3 / Column 6 → 3 (Naked Single)
  50. Row 7 / Column 6 → 1 (Full House)
  51. Row 9 / Column 8 → 5 (Hidden Single)
  52. Locked Candidates Type 2 (Claiming): 3 in c8 => r5c79<>3
  53. XY-Chain: 4 4- r7c8 -6- r4c8 -3- r4c5 -7- r9c5 -4 => r7c5,r9c79<>4
  54. Row 9 / Column 5 → 4 (Hidden Single)
  55. Sue de Coq: r12c9 - {1234} (r69c9 - {237}, r1c7 - {14}) => r2c7<>1, r5c9<>7
  56. XY-Chain: 6 6- r7c8 -4- r5c8 -3- r5c4 -7- r8c4 -6 => r7c4,r8c7<>6
  57. Row 8 / Column 4 → 6 (Hidden Single)
  58. Locked Candidates Type 1 (Pointing): 7 in b8 => r7c3<>7
  59. Naked Triple: 1,4,7 in r158c7 => r69c7<>7
  60. Skyscraper: 7 in r6c2,r9c3 (connected by r69c9) => r4c3<>7
  61. Row 4 / Column 3 → 4 (Naked Single)
  62. Row 7 / Column 3 → 6 (Naked Single)
  63. Row 9 / Column 3 → 7 (Full House)
  64. Row 8 / Column 1 → 4 (Full House)
  65. Row 3 / Column 1 → 7 (Full House)
  66. Row 8 / Column 7 → 7 (Full House)
  67. Row 3 / Column 2 → 4 (Full House)
  68. Row 7 / Column 8 → 4 (Naked Single)
  69. Row 9 / Column 9 → 3 (Naked Single)
  70. Row 9 / Column 7 → 6 (Full House)
  71. Row 5 / Column 8 → 3 (Naked Single)
  72. Row 2 / Column 9 → 1 (Naked Single)
  73. Row 6 / Column 7 → 8 (Naked Single)
  74. Row 4 / Column 8 → 6 (Naked Single)
  75. Row 5 / Column 4 → 7 (Naked Single)
  76. Row 4 / Column 5 → 3 (Full House)
  77. Row 4 / Column 2 → 7 (Full House)
  78. Row 7 / Column 4 → 3 (Full House)
  79. Row 7 / Column 5 → 7 (Full House)
  80. Row 6 / Column 2 → 6 (Full House)
  81. Row 1 / Column 7 → 4 (Naked Single)
  82. Row 2 / Column 5 → 8 (Naked Single)
  83. Row 2 / Column 7 → 3 (Full House)
  84. Row 5 / Column 7 → 1 (Full House)
  85. Row 5 / Column 9 → 4 (Full House)
  86. Row 6 / Column 8 → 2 (Naked Single)
  87. Row 3 / Column 8 → 8 (Full House)
  88. Row 1 / Column 9 → 2 (Full House)
  89. Row 3 / Column 5 → 2 (Full House)
  90. Row 6 / Column 9 → 7 (Full House)
  91. Row 1 / Column 5 → 1 (Full House)
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