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

This Sudoku Puzzle has 75 steps and it is solved using Hidden Single, Locked Pair, Naked Single, Locked Candidates Type 1 (Pointing), Finned Swordfish, undefined, Empty Rectangle, Discontinuous Nice Loop, Naked Pair, Uniqueness Test 1, Sue de Coq, Grouped AIC, Full House techniques.

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

Solution Steps:

  1. Row 3 / Column 8 → 6 (Hidden Single)
  2. Locked Pair: 3,7 in r12c9 => r1c8,r2c7,r467c9<>3, r1c8,r2c7,r4678c9<>7
  3. Row 6 / Column 9 → 6 (Naked Single)
  4. Row 4 / Column 9 → 4 (Naked Single)
  5. Row 7 / Column 7 → 6 (Hidden Single)
  6. Row 2 / Column 3 → 4 (Hidden Single)
  7. Row 5 / Column 2 → 4 (Hidden Single)
  8. Row 7 / Column 1 → 4 (Hidden Single)
  9. Row 2 / Column 1 → 9 (Hidden Single)
  10. Row 9 / Column 8 → 4 (Hidden Single)
  11. Row 5 / Column 5 → 6 (Hidden Single)
  12. Row 4 / Column 2 → 6 (Hidden Single)
  13. Row 6 / Column 2 → 5 (Hidden Single)
  14. Row 6 / Column 3 → 9 (Hidden Single)
  15. Row 8 / Column 9 → 9 (Hidden Single)
  16. Row 7 / Column 9 → 1 (Naked Single)
  17. Locked Candidates Type 1 (Pointing): 7 in b5 => r13c6<>7
  18. Finned Swordfish: 8 r159 c467 fr5c8 => r46c7<>8
  19. Locked Candidates Type 1 (Pointing): 8 in b6 => r8c8<>8
  20. XY-Chain: 2 2- r1c8 -5- r8c8 -7- r8c1 -1- r8c3 -2 => r1c3<>2
  21. Row 8 / Column 3 → 2 (Hidden Single)
  22. Empty Rectangle: 1 in b4 (r8c15) => r4c5<>1
  23. Discontinuous Nice Loop: 3 r2c5 -3- r2c9 =3= r1c9 -3- r1c3 =3= r3c1 =7= r8c1 -7- r8c8 -5- r8c7 =5= r2c7 =2= r2c5 => r2c5<>3
  24. Naked Pair: 2,5 in r2c57 => r2c4<>5
  25. Uniqueness Test 1: 3/7 in r1c49,r2c49 => r1c4<>3, r1c4<>7
  26. Discontinuous Nice Loop: 7 r3c2 -7- r3c1 =7= r8c1 -7- r8c8 -5- r1c8 -2- r1c2 =2= r3c2 => r3c2<>7
  27. Sue de Coq: r1c23 - {1237} (r1c9 - {37}, r3c2 - {12}) => r3c1<>1, r1c6<>3
  28. Discontinuous Nice Loop: 1 r6c6 -1- r6c5 =1= r8c5 =8= r8c7 -8- r9c7 -3- r4c7 -7- r4c6 =7= r6c6 => r6c6<>1
  29. X-Wing: 1 r68 c15 => r4c1<>1
  30. Discontinuous Nice Loop: 7 r6c7 -7- r6c6 =7= r4c6 =5= r4c5 -5- r2c5 -2- r2c7 =2= r6c7 => r6c7<>7
  31. Discontinuous Nice Loop: 3 r7c6 -3- r7c8 =3= r9c7 -3- r6c7 -2- r2c7 =2= r2c5 -2- r7c5 =2= r7c6 => r7c6<>3
  32. Discontinuous Nice Loop: 5 r7c6 -5- r7c4 =5= r1c4 -5- r2c5 -2- r7c5 =2= r7c6 => r7c6<>5
  33. Grouped AIC: 2 2- r2c5 =2= r2c7 -2- r6c7 -3- r5c8 =3= r5c46 -3- r46c5 =3= r7c5 =2= r7c6 -2 => r13c6,r7c5<>2
  34. Row 3 / Column 2 → 2 (Hidden Single)
  35. Row 7 / Column 6 → 2 (Hidden Single)
  36. Row 2 / Column 5 → 2 (Hidden Single)
  37. Row 2 / Column 7 → 5 (Naked Single)
  38. Row 1 / Column 8 → 2 (Naked Single)
  39. Row 6 / Column 7 → 2 (Hidden Single)
  40. Locked Candidates Type 1 (Pointing): 1 in b1 => r1c46<>1
  41. W-Wing: 3/1 in r1c3,r3c6 connected by 1 in r4c36 => r3c1<>3
  42. Row 3 / Column 1 → 7 (Naked Single)
  43. Row 1 / Column 2 → 1 (Naked Single)
  44. Row 1 / Column 3 → 3 (Full House)
  45. Row 4 / Column 3 → 1 (Full House)
  46. Row 8 / Column 1 → 1 (Naked Single)
  47. Row 9 / Column 2 → 9 (Naked Single)
  48. Row 7 / Column 2 → 7 (Full House)
  49. Row 1 / Column 9 → 7 (Naked Single)
  50. Row 2 / Column 9 → 3 (Full House)
  51. Row 2 / Column 4 → 7 (Full House)
  52. Row 6 / Column 5 → 1 (Hidden Single)
  53. Row 7 / Column 4 → 9 (Hidden Single)
  54. Row 5 / Column 6 → 9 (Hidden Single)
  55. Row 1 / Column 4 → 5 (Hidden Single)
  56. Row 1 / Column 6 → 8 (Full House)
  57. Row 4 / Column 6 → 5 (Hidden Single)
  58. Row 4 / Column 7 → 7 (Hidden Single)
  59. Row 8 / Column 7 → 8 (Naked Single)
  60. Row 9 / Column 7 → 3 (Full House)
  61. Row 8 / Column 5 → 5 (Naked Single)
  62. Row 8 / Column 8 → 7 (Full House)
  63. Row 7 / Column 8 → 5 (Full House)
  64. Row 7 / Column 5 → 3 (Full House)
  65. Row 4 / Column 5 → 8 (Full House)
  66. Row 4 / Column 1 → 3 (Full House)
  67. Row 6 / Column 1 → 8 (Full House)
  68. Row 9 / Column 6 → 1 (Naked Single)
  69. Row 9 / Column 4 → 8 (Full House)
  70. Row 5 / Column 4 → 3 (Naked Single)
  71. Row 3 / Column 4 → 1 (Full House)
  72. Row 3 / Column 6 → 3 (Full House)
  73. Row 5 / Column 8 → 8 (Full House)
  74. Row 6 / Column 8 → 3 (Full House)
  75. Row 6 / Column 6 → 7 (Full House)
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