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

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.

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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