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

This Sudoku Puzzle has 85 steps and it is solved using Locked Candidates Type 1 (Pointing), Hidden Pair, undefined, Discontinuous Nice Loop, Naked Pair, Locked Candidates Type 2 (Claiming), Naked Triple, Hidden Rectangle, Grouped AIC, Naked Single, Full House, Hidden Single, AIC 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): 1 in b1 => r7c3<>1
  2. Locked Candidates Type 1 (Pointing): 3 in b2 => r1c8<>3
  3. Locked Candidates Type 1 (Pointing): 6 in b2 => r45c4<>6
  4. Locked Candidates Type 1 (Pointing): 7 in b2 => r9c4<>7
  5. Locked Candidates Type 1 (Pointing): 1 in b3 => r7c9<>1
  6. Locked Candidates Type 1 (Pointing): 3 in b4 => r7c3<>3
  7. Locked Candidates Type 1 (Pointing): 2 in b8 => r9c8<>2
  8. Hidden Pair: 6,7 in r23c4 => r23c4<>4, r23c4<>8, r3c4<>5
  9. Locked Candidates Type 1 (Pointing): 5 in b2 => r1c23<>5
  10. Hidden Pair: 6,9 in r45c6 => r4c6<>8, r5c6<>3, r5c6<>4
  11. 2-String Kite: 5 in r6c3,r7c9 (connected by r5c9,r6c8) => r7c3<>5
  12. Discontinuous Nice Loop: 6 r3c2 -6- r3c4 -7- r3c9 -2- r3c1 =2= r5c1 -2- r4c2 -6- r3c2 => r3c2<>6
  13. Discontinuous Nice Loop: 5 r5c1 -5- r5c9 -9- r5c6 -6- r4c6 =6= r4c2 =2= r5c1 => r5c1<>5
  14. Locked Candidates Type 1 (Pointing): 5 in b4 => r3c3<>5
  15. Naked Pair: 2,6 in r4c2,r5c1 => r5c3<>6
  16. Locked Candidates Type 2 (Claiming): 6 in c3 => r2c2,r3c1<>6
  17. Naked Triple: 4,8,9 in r2c258 => r2c3<>4, r2c3<>8, r2c9<>9
  18. Discontinuous Nice Loop: 6 r9c2 -6- r9c8 =6= r8c8 =9= r8c7 -9- r4c7 =9= r4c6 =6= r4c2 -6- r9c2 => r9c2<>6
  19. Discontinuous Nice Loop: 8 r9c5 -8- r2c5 =8= r2c8 -8- r6c8 =8= r4c7 -8- r4c4 -2- r9c4 =2= r9c5 => r9c5<>8
  20. Locked Candidates Type 2 (Claiming): 8 in c5 => r1c46<>8
  21. Hidden Rectangle: 1/2 in r5c45,r9c45 => r5c4<>2
  22. Grouped AIC: 2 2- r1c2 =2= r1c89 -2- r3c9 -7- r2c9 -1- r2c3 =1= r1c3 =8= r3c13 -8- r3c7 =8= r4c7 -8- r4c4 -2- r4c2 =2= r5c1 -2 => r3c1,r4c2<>2
  23. Row 4 / Column 2 → 6 (Naked Single)
  24. Row 4 / Column 6 → 9 (Naked Single)
  25. Row 5 / Column 1 → 2 (Naked Single)
  26. Row 4 / Column 7 → 8 (Naked Single)
  27. Row 4 / Column 4 → 2 (Full House)
  28. Row 5 / Column 6 → 6 (Naked Single)
  29. Row 9 / Column 5 → 2 (Hidden Single)
  30. AIC: 2/3 3- r3c8 =3= r3c7 =4= r5c7 =9= r5c9 =5= r7c9 =2= r7c8 -2 => r3c8<>2, r7c8<>3
  31. Discontinuous Nice Loop: 1 r8c1 -1- r8c5 =1= r5c5 -1- r5c4 -4- r5c7 -9- r8c7 =9= r8c8 =6= r8c1 => r8c1<>1
  32. Hidden Rectangle: 5/6 in r8c18,r9c18 => r9c8<>5
  33. Discontinuous Nice Loop: 8 r3c8 -8- r3c1 -5- r8c1 -6- r8c8 =6= r9c8 =3= r3c8 => r3c8<>8
  34. Locked Candidates Type 2 (Claiming): 8 in r3 => r1c3<>8
  35. Hidden Rectangle: 4/8 in r1c58,r2c58 => r1c8<>4
  36. AIC: 2/5 2- r7c8 =2= r1c8 =8= r1c5 =3= r5c5 -3- r5c3 -5- r5c9 =5= r7c9 -5 => r7c9<>2, r7c8<>5
  37. Row 7 / Column 8 → 2 (Naked Single)
  38. Discontinuous Nice Loop: 4/5 r1c6 =3= r1c5 -3- r5c5 =3= r5c3 =5= r5c9 =9= r5c7 -9- r8c7 =9= r8c8 =5= r6c8 -5- r6c3 -3- r6c6 =3= r1c6 => r1c6<>4, r1c6<>5
  39. Row 1 / Column 6 → 3 (Naked Single)
  40. Row 1 / Column 4 → 5 (Hidden Single)
  41. Row 5 / Column 5 → 3 (Hidden Single)
  42. Row 5 / Column 3 → 5 (Naked Single)
  43. Row 6 / Column 3 → 3 (Full House)
  44. Row 5 / Column 9 → 9 (Naked Single)
  45. Row 5 / Column 7 → 4 (Naked Single)
  46. Row 5 / Column 4 → 1 (Full House)
  47. Row 6 / Column 8 → 5 (Full House)
  48. Row 9 / Column 4 → 8 (Naked Single)
  49. Row 6 / Column 4 → 4 (Naked Single)
  50. Row 6 / Column 6 → 8 (Full House)
  51. Row 8 / Column 5 → 1 (Hidden Single)
  52. Row 7 / Column 9 → 5 (Hidden Single)
  53. Row 8 / Column 7 → 9 (Hidden Single)
  54. Row 8 / Column 8 → 6 (Naked Single)
  55. Row 8 / Column 1 → 5 (Naked Single)
  56. Row 9 / Column 8 → 3 (Naked Single)
  57. Row 3 / Column 1 → 8 (Naked Single)
  58. Row 3 / Column 8 → 4 (Naked Single)
  59. Row 9 / Column 2 → 7 (Naked Single)
  60. Row 7 / Column 1 → 1 (Naked Single)
  61. Row 9 / Column 1 → 6 (Full House)
  62. Row 3 / Column 3 → 6 (Naked Single)
  63. Row 8 / Column 2 → 4 (Naked Single)
  64. Row 8 / Column 6 → 7 (Full House)
  65. Row 9 / Column 6 → 5 (Naked Single)
  66. Row 9 / Column 7 → 1 (Full House)
  67. Row 7 / Column 7 → 7 (Full House)
  68. Row 7 / Column 6 → 4 (Full House)
  69. Row 3 / Column 7 → 3 (Full House)
  70. Row 2 / Column 3 → 1 (Naked Single)
  71. Row 3 / Column 4 → 7 (Naked Single)
  72. Row 2 / Column 4 → 6 (Full House)
  73. Row 2 / Column 2 → 9 (Naked Single)
  74. Row 7 / Column 2 → 3 (Naked Single)
  75. Row 7 / Column 3 → 8 (Full House)
  76. Row 1 / Column 3 → 4 (Full House)
  77. Row 2 / Column 9 → 7 (Naked Single)
  78. Row 3 / Column 9 → 2 (Naked Single)
  79. Row 1 / Column 9 → 1 (Full House)
  80. Row 3 / Column 2 → 5 (Full House)
  81. Row 1 / Column 2 → 2 (Full House)
  82. Row 2 / Column 8 → 8 (Naked Single)
  83. Row 1 / Column 8 → 9 (Full House)
  84. Row 1 / Column 5 → 8 (Full House)
  85. Row 2 / Column 5 → 4 (Full House)
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