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.

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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