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

This Sudoku Puzzle has 84 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Finned Swordfish, Sue de Coq, Discontinuous Nice Loop, Naked Single, Locked Candidates Type 2 (Claiming), Full House, Hidden Pair, undefined, Hidden Rectangle, AIC techniques.

Try To Solve This Puzzle

Solution Steps:

  1. Row 4 / Column 8 → 6 (Hidden Single)
  2. Row 7 / Column 2 → 6 (Hidden Single)
  3. Locked Candidates Type 1 (Pointing): 5 in b4 => r5c579<>5
  4. Row 8 / Column 5 → 5 (Hidden Single)
  5. Locked Candidates Type 1 (Pointing): 9 in b4 => r123c2<>9
  6. Locked Candidates Type 1 (Pointing): 2 in b7 => r23c1<>2
  7. Finned Swordfish: 1 c357 r579 fr4c7 => r5c9<>1
  8. Finned Swordfish: 1 c359 r579 fr4c9 fr6c9 => r5c7<>1
  9. Sue de Coq: r4c79 - {1579} (r4c46 - {145}, r5c789,r6c8 - {23789}) => r6c9<>3, r6c9<>8, r6c9<>9, r4c2<>1, r4c2<>4
  10. Locked Candidates Type 1 (Pointing): 4 in b4 => r5c5<>4
  11. Discontinuous Nice Loop: 7 r2c2 -7- r4c2 -9- r6c2 -1- r6c9 -5- r2c9 =5= r2c1 =1= r2c2 => r2c2<>7
  12. Discontinuous Nice Loop: 7 r4c7 -7- r4c2 -9- r6c2 -1- r2c2 =1= r2c1 =5= r2c9 -5- r1c7 =5= r4c7 => r4c7<>7
  13. Discontinuous Nice Loop: 7 r5c3 -7- r4c2 -9- r6c2 -1- r6c9 -5- r2c9 =5= r2c1 -5- r5c1 =5= r5c3 => r5c3<>7
  14. Discontinuous Nice Loop: 1 r6c2 -1- r6c9 -5- r2c9 =5= r2c1 =1= r2c2 -1- r6c2 => r6c2<>1
  15. Row 6 / Column 2 → 9 (Naked Single)
  16. Row 4 / Column 2 → 7 (Naked Single)
  17. Locked Candidates Type 1 (Pointing): 1 in b4 => r5c5<>1
  18. Locked Candidates Type 1 (Pointing): 1 in b5 => r789c6<>1
  19. Locked Candidates Type 2 (Claiming): 1 in r8 => r7c13,r9c13<>1
  20. Row 5 / Column 3 → 1 (Hidden Single)
  21. Row 5 / Column 2 → 4 (Naked Single)
  22. Row 5 / Column 1 → 5 (Full House)
  23. Row 1 / Column 3 → 5 (Hidden Single)
  24. Row 2 / Column 9 → 5 (Hidden Single)
  25. Row 6 / Column 9 → 1 (Naked Single)
  26. Row 4 / Column 9 → 9 (Naked Single)
  27. Row 4 / Column 7 → 5 (Naked Single)
  28. Row 4 / Column 4 → 4 (Naked Single)
  29. Row 4 / Column 6 → 1 (Full House)
  30. Row 6 / Column 4 → 5 (Hidden Single)
  31. Locked Candidates Type 1 (Pointing): 7 in b1 => r789c1<>7
  32. Locked Candidates Type 2 (Claiming): 7 in r8 => r79c6,r9c4<>7
  33. Locked Candidates Type 2 (Claiming): 3 in c4 => r7c56,r89c6,r9c5<>3
  34. Hidden Pair: 1,9 in r7c57 => r7c5<>4, r7c7<>7
  35. X-Wing: 9 c48 r29 => r2c15,r9c57<>9
  36. W-Wing: 8/3 in r1c2,r5c5 connected by 3 in r16c6 => r1c5<>8
  37. XYZ-Wing: 4/7/8 in r2c56,r8c6 => r1c6<>4
  38. Hidden Rectangle: 2/4 in r7c16,r9c16 => r9c1<>4
  39. Finned Swordfish: 8 r168 c268 fr1c7 fr1c9 => r2c8<>8
  40. Finned Swordfish: 8 r268 c268 fr2c5 => r1c6<>8
  41. AIC: 9 9- r2c4 =9= r2c8 =2= r2c2 =1= r8c2 =8= r8c8 -8- r6c8 -3- r6c6 =3= r1c6 -3- r1c2 -8- r1c7 -9- r7c7 =9= r7c5 -9 => r13c5,r9c4<>9
  42. Row 9 / Column 4 → 3 (Naked Single)
  43. Row 8 / Column 4 → 7 (Naked Single)
  44. Row 2 / Column 4 → 9 (Full House)
  45. Row 9 / Column 1 → 2 (Naked Single)
  46. Row 8 / Column 6 → 4 (Naked Single)
  47. Row 7 / Column 6 → 2 (Naked Single)
  48. Row 9 / Column 6 → 6 (Naked Single)
  49. Row 9 / Column 5 → 1 (Naked Single)
  50. Row 7 / Column 5 → 9 (Full House)
  51. Row 7 / Column 7 → 1 (Naked Single)
  52. Row 9 / Column 8 → 9 (Hidden Single)
  53. Row 2 / Column 8 → 4 (Hidden Single)
  54. Row 2 / Column 5 → 8 (Naked Single)
  55. Row 2 / Column 6 → 7 (Naked Single)
  56. Row 5 / Column 5 → 3 (Naked Single)
  57. Row 6 / Column 6 → 8 (Full House)
  58. Row 1 / Column 6 → 3 (Full House)
  59. Row 6 / Column 8 → 3 (Full House)
  60. Row 2 / Column 1 → 1 (Naked Single)
  61. Row 2 / Column 2 → 2 (Full House)
  62. Row 1 / Column 2 → 8 (Naked Single)
  63. Row 8 / Column 8 → 8 (Naked Single)
  64. Row 5 / Column 8 → 2 (Full House)
  65. Row 8 / Column 1 → 3 (Naked Single)
  66. Row 8 / Column 2 → 1 (Full House)
  67. Row 3 / Column 2 → 3 (Full House)
  68. Row 1 / Column 7 → 9 (Naked Single)
  69. Row 1 / Column 9 → 6 (Naked Single)
  70. Row 3 / Column 3 → 4 (Naked Single)
  71. Row 9 / Column 7 → 7 (Naked Single)
  72. Row 7 / Column 1 → 4 (Naked Single)
  73. Row 1 / Column 5 → 4 (Naked Single)
  74. Row 1 / Column 1 → 7 (Full House)
  75. Row 3 / Column 1 → 9 (Full House)
  76. Row 3 / Column 5 → 6 (Full House)
  77. Row 3 / Column 9 → 8 (Naked Single)
  78. Row 3 / Column 7 → 2 (Full House)
  79. Row 5 / Column 7 → 8 (Full House)
  80. Row 5 / Column 9 → 7 (Full House)
  81. Row 7 / Column 3 → 7 (Naked Single)
  82. Row 9 / Column 3 → 8 (Full House)
  83. Row 9 / Column 9 → 4 (Full House)
  84. Row 7 / Column 9 → 3 (Full House)
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