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

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.

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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