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

This Sudoku Puzzle has 75 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Naked Single, Locked Pair, Locked Candidates Type 2 (Claiming), Naked Triple, Empty Rectangle, Uniqueness Test 2, undefined, Discontinuous Nice Loop, Hidden Pair, AIC, Full House 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. Row 1 / Column 9 → 5 (Hidden Single)
  2. Row 6 / Column 2 → 3 (Hidden Single)
  3. Locked Candidates Type 1 (Pointing): 4 in b3 => r457c8<>4
  4. Row 7 / Column 7 → 4 (Hidden Single)
  5. Locked Candidates Type 1 (Pointing): 9 in b7 => r1c2<>9
  6. Row 1 / Column 2 → 6 (Naked Single)
  7. Row 6 / Column 3 → 6 (Hidden Single)
  8. Locked Pair: 2,9 in r46c7 => r29c7,r4c89,r5c89,r6c9<>2
  9. Row 2 / Column 9 → 2 (Hidden Single)
  10. Locked Pair: 1,4 in r46c9 => r5c9<>4, r4c8,r8c9<>1
  11. Row 4 / Column 8 → 7 (Naked Single)
  12. Row 2 / Column 3 → 7 (Hidden Single)
  13. Row 1 / Column 3 → 9 (Hidden Single)
  14. Locked Candidates Type 2 (Claiming): 2 in r5 => r4c56,r6c45<>2
  15. Locked Candidates Type 2 (Claiming): 4 in r5 => r4c6,r6c4<>4
  16. Naked Triple: 5,6,8 in r8c79,r9c7 => r9c8<>6
  17. Empty Rectangle: 5 in b4 (r7c26) => r4c6<>5
  18. Uniqueness Test 2: 1/2 in r7c48,r9c48 => r6c4,r79c6<>9
  19. XY-Chain: 5 5- r3c2 -1- r2c1 -8- r2c7 -6- r9c7 -5 => r9c2<>5
  20. Discontinuous Nice Loop: 1 r2c6 -1- r2c1 -8- r1c1 -2- r6c1 =2= r6c7 =9= r6c5 -9- r2c5 =9= r2c6 => r2c6<>1
  21. Discontinuous Nice Loop: 1 r3c4 -1- r3c2 =1= r2c1 =8= r1c1 -8- r1c4 =8= r3c4 => r3c4<>1
  22. Discontinuous Nice Loop: 5 r9c1 -5- r9c7 -6- r2c7 -8- r2c1 -1- r3c2 -5- r5c2 -7- r9c2 =7= r9c1 => r9c1<>5
  23. Hidden Pair: 5,6 in r9c67 => r9c6<>1, r9c6<>2
  24. AIC: 6 6- r2c7 -8- r2c1 -1- r3c2 -5- r7c2 =5= r7c6 -5- r9c6 -6 => r2c6,r9c7<>6
  25. Row 9 / Column 7 → 5 (Naked Single)
  26. Row 9 / Column 6 → 6 (Naked Single)
  27. Discontinuous Nice Loop: 2 r3c5 -2- r3c3 -5- r3c2 -1- r2c1 =1= r2c5 =6= r3c5 => r3c5<>2
  28. Row 5 / Column 5 → 2 (Hidden Single)
  29. X-Wing: 5 r57 c26 => r3c2<>5
  30. Row 3 / Column 2 → 1 (Naked Single)
  31. Row 2 / Column 1 → 8 (Naked Single)
  32. Row 3 / Column 5 → 6 (Naked Single)
  33. Row 1 / Column 1 → 2 (Naked Single)
  34. Row 3 / Column 3 → 5 (Full House)
  35. Row 2 / Column 7 → 6 (Naked Single)
  36. Row 8 / Column 3 → 4 (Naked Single)
  37. Row 4 / Column 3 → 2 (Full House)
  38. Row 2 / Column 8 → 3 (Naked Single)
  39. Row 8 / Column 7 → 8 (Naked Single)
  40. Row 4 / Column 7 → 9 (Naked Single)
  41. Row 6 / Column 7 → 2 (Full House)
  42. Row 2 / Column 6 → 9 (Naked Single)
  43. Row 2 / Column 5 → 1 (Full House)
  44. Row 8 / Column 9 → 6 (Naked Single)
  45. Row 6 / Column 5 → 9 (Naked Single)
  46. Row 5 / Column 9 → 8 (Naked Single)
  47. Row 5 / Column 8 → 6 (Naked Single)
  48. W-Wing: 1/3 in r4c6,r8c4 connected by 3 in r1c46 => r6c4,r7c6<>1
  49. Row 6 / Column 4 → 7 (Naked Single)
  50. Row 5 / Column 4 → 4 (Naked Single)
  51. Row 6 / Column 1 → 4 (Naked Single)
  52. Row 6 / Column 9 → 1 (Full House)
  53. Row 4 / Column 9 → 4 (Full House)
  54. Row 5 / Column 6 → 5 (Naked Single)
  55. Row 5 / Column 2 → 7 (Full House)
  56. Row 4 / Column 1 → 5 (Full House)
  57. Row 4 / Column 5 → 3 (Naked Single)
  58. Row 4 / Column 6 → 1 (Full House)
  59. Row 8 / Column 5 → 5 (Full House)
  60. Row 7 / Column 6 → 2 (Naked Single)
  61. Row 9 / Column 2 → 9 (Naked Single)
  62. Row 7 / Column 2 → 5 (Full House)
  63. Row 8 / Column 1 → 1 (Naked Single)
  64. Row 8 / Column 4 → 3 (Full House)
  65. Row 9 / Column 1 → 7 (Full House)
  66. Row 3 / Column 6 → 4 (Naked Single)
  67. Row 1 / Column 6 → 3 (Full House)
  68. Row 7 / Column 8 → 1 (Naked Single)
  69. Row 7 / Column 4 → 9 (Full House)
  70. Row 9 / Column 4 → 1 (Full House)
  71. Row 9 / Column 8 → 2 (Full House)
  72. Row 1 / Column 4 → 8 (Naked Single)
  73. Row 1 / Column 8 → 4 (Full House)
  74. Row 3 / Column 8 → 8 (Full House)
  75. Row 3 / Column 4 → 2 (Full House)
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