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2

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

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

Solution Steps:

  1. Locked Candidates Type 1 (Pointing): 9 in b2 => r45c4<>9
  2. Locked Candidates Type 1 (Pointing): 7 in b7 => r46c2<>7
  3. Hidden Pair: 3,6 in r2c3,r3c2 => r2c3<>5, r2c3,r3c2<>8, r3c2<>9
  4. Hidden Pair: 3,6 in r36c2 => r6c2<>8, r6c2<>9
  5. Finned X-Wing: 2 c19 r38 fr7c9 fr9c9 => r8c7<>2
  6. Finned Swordfish: 6 r258 c357 fr5c4 => r6c5<>6
  7. Locked Candidates Type 1 (Pointing): 6 in b5 => r5c3<>6
  8. Discontinuous Nice Loop: 3/7/8 r2c6 =1= r2c9 -1- r5c9 =1= r5c3 =3= r5c7 -3- r8c7 =3= r8c6 =1= r2c6 => r2c6<>3, r2c6<>7, r2c6<>8
  9. Row 2 / Column 6 → 1 (Naked Single)
  10. Row 1 / Column 5 → 7 (Hidden Single)
  11. Locked Candidates Type 1 (Pointing): 3 in b2 => r7c4<>3
  12. Naked Pair: 4,8 in r36c5 => r59c5<>8
  13. Finned Swordfish: 8 c159 r236 fr5c1 => r6c3<>8
  14. Continuous Nice Loop: 1/2/6 6= r3c8 =1= r3c9 -1- r5c9 =1= r5c3 -1- r8c3 =1= r8c5 =6= r8c7 -6- r9c8 =6= r3c8 =1 => r4c3<>1, r3c8<>2, r9c7<>6
  15. AIC: 5 5- r2c1 -8- r2c9 =8= r3c9 -8- r3c5 -4- r6c5 =4= r4c4 -4- r4c3 -5 => r1c3,r45c1<>5
  16. Row 2 / Column 1 → 5 (Hidden Single)
  17. XYZ-Wing: 2/4/8 in r17c3,r8c1 => r8c3<>2
  18. XY-Chain: 5 5- r4c3 -4- r8c3 -1- r8c5 -6- r5c5 -5 => r4c4,r5c3<>5
  19. Row 4 / Column 3 → 5 (Hidden Single)
  20. Hidden Pair: 5,6 in r5c45 => r5c4<>8
  21. AIC: 5 5- r1c8 -2- r1c3 =2= r7c3 -2- r8c1 -4- r4c1 =4= r4c4 -4- r1c4 =4= r1c7 =5= r9c7 -5 => r1c7,r79c8<>5
  22. Row 1 / Column 8 → 5 (Hidden Single)
  23. Row 9 / Column 7 → 5 (Hidden Single)
  24. Row 7 / Column 4 → 5 (Hidden Single)
  25. Row 5 / Column 4 → 6 (Naked Single)
  26. Row 5 / Column 5 → 5 (Naked Single)
  27. W-Wing: 4/2 in r1c7,r8c1 connected by 2 in r17c3 => r8c7<>4
  28. Locked Candidates Type 1 (Pointing): 4 in b9 => r3c9<>4
  29. XY-Wing: 2/7/8 in r29c9,r9c4 => r2c4<>8
  30. Row 2 / Column 4 → 3 (Naked Single)
  31. Row 2 / Column 3 → 6 (Naked Single)
  32. Row 2 / Column 7 → 7 (Naked Single)
  33. Row 2 / Column 9 → 8 (Full House)
  34. Row 3 / Column 2 → 3 (Naked Single)
  35. Row 6 / Column 2 → 6 (Naked Single)
  36. AIC: 7 7- r7c2 =7= r9c2 =1= r4c2 -1- r4c8 =1= r3c8 -1- r3c9 -2- r9c9 -7 => r7c89,r9c2<>7
  37. Row 7 / Column 2 → 7 (Hidden Single)
  38. W-Wing: 3/2 in r7c8,r8c6 connected by 2 in r7c3,r8c1 => r7c6,r8c7<>3
  39. Row 7 / Column 8 → 3 (Hidden Single)
  40. Row 8 / Column 6 → 3 (Hidden Single)
  41. XY-Chain: 4 4- r1c7 -2- r1c3 -8- r1c2 -9- r4c2 -1- r9c2 -8- r9c4 -2- r4c4 -4- r6c5 -8- r3c5 -4 => r1c4,r3c7<>4
  42. Row 1 / Column 7 → 4 (Hidden Single)
  43. Row 1 / Column 3 → 2 (Hidden Single)
  44. Row 8 / Column 1 → 2 (Hidden Single)
  45. Locked Candidates Type 1 (Pointing): 4 in b7 => r6c3<>4
  46. Row 6 / Column 3 → 3 (Naked Single)
  47. Row 5 / Column 7 → 3 (Hidden Single)
  48. X-Wing: 8 r19 c24 => r3c4<>8
  49. XY-Chain: 2 2- r4c4 -4- r3c4 -9- r1c4 -8- r9c4 -2- r7c6 -8- r7c3 -4- r8c3 -1- r8c5 -6- r8c7 -9- r6c7 -2 => r4c8,r6c6<>2
  50. XY-Chain: 1 1- r3c9 -2- r3c7 -6- r8c7 -9- r6c7 -2- r6c8 -7- r4c8 -1 => r3c8,r5c9<>1
  51. Row 3 / Column 8 → 6 (Naked Single)
  52. Row 3 / Column 7 → 2 (Naked Single)
  53. Row 3 / Column 9 → 1 (Full House)
  54. Row 6 / Column 7 → 9 (Naked Single)
  55. Row 8 / Column 7 → 6 (Full House)
  56. Row 5 / Column 9 → 7 (Naked Single)
  57. Row 8 / Column 5 → 1 (Naked Single)
  58. Row 4 / Column 8 → 1 (Naked Single)
  59. Row 6 / Column 8 → 2 (Full House)
  60. Row 9 / Column 8 → 7 (Full House)
  61. Row 9 / Column 9 → 2 (Naked Single)
  62. Row 8 / Column 3 → 4 (Naked Single)
  63. Row 8 / Column 9 → 9 (Full House)
  64. Row 7 / Column 9 → 4 (Full House)
  65. Row 9 / Column 5 → 6 (Naked Single)
  66. Row 4 / Column 2 → 9 (Naked Single)
  67. Row 9 / Column 4 → 8 (Naked Single)
  68. Row 7 / Column 6 → 2 (Full House)
  69. Row 7 / Column 3 → 8 (Full House)
  70. Row 9 / Column 2 → 1 (Full House)
  71. Row 1 / Column 2 → 8 (Full House)
  72. Row 1 / Column 4 → 9 (Full House)
  73. Row 5 / Column 3 → 1 (Full House)
  74. Row 3 / Column 1 → 9 (Full House)
  75. Row 5 / Column 1 → 8 (Naked Single)
  76. Row 5 / Column 6 → 9 (Full House)
  77. Row 4 / Column 6 → 7 (Naked Single)
  78. Row 6 / Column 6 → 8 (Full House)
  79. Row 3 / Column 4 → 4 (Naked Single)
  80. Row 3 / Column 5 → 8 (Full House)
  81. Row 6 / Column 5 → 4 (Full House)
  82. Row 4 / Column 4 → 2 (Full House)
  83. Row 4 / Column 1 → 4 (Full House)
  84. Row 6 / Column 1 → 7 (Full House)
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