4
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8
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1
1
7
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6

This Sudoku Puzzle has 81 steps and it is solved using Hidden Single, Locked Pair, Naked Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), undefined, Grouped Discontinuous Nice Loop, Discontinuous Nice Loop, Empty Rectangle, Grouped AIC, Naked Pair, Hidden Triple, Continuous Nice Loop, Full House techniques.

Try To Solve This Puzzle

## Solution Steps:

1. Row 3 / Column 5 → 4 (Hidden Single)
2. Row 1 / Column 6 → 6 (Hidden Single)
3. Row 6 / Column 3 → 4 (Hidden Single)
4. Row 4 / Column 9 → 4 (Hidden Single)
5. Row 8 / Column 6 → 4 (Hidden Single)
6. Row 9 / Column 1 → 4 (Hidden Single)
7. Row 7 / Column 6 → 2 (Hidden Single)
8. Row 4 / Column 6 → 5 (Hidden Single)
9. Locked Pair: 3,5 in r8c45 => r79c5,r8c178<>3, r79c5,r8c278<>5
10. Row 1 / Column 8 → 5 (Hidden Single)
11. Row 8 / Column 5 → 5 (Hidden Single)
12. Row 8 / Column 4 → 3 (Naked Single)
13. Row 3 / Column 4 → 5 (Hidden Single)
14. Locked Candidates Type 1 (Pointing): 8 in b8 => r5c5<>8
15. Locked Candidates Type 1 (Pointing): 9 in b8 => r125c5<>9
16. Locked Candidates Type 1 (Pointing): 9 in b2 => r2c28<>9
17. Locked Candidates Type 1 (Pointing): 9 in b1 => r45c1<>9
18. Locked Candidates Type 2 (Claiming): 9 in c8 => r456c7,r5c9<>9
19. Locked Candidates Type 2 (Claiming): 7 in c9 => r13c7,r2c8<>7
20. Finned X-Wing: 3 c68 r26 fr4c8 fr5c8 => r6c7<>3
21. Grouped Discontinuous Nice Loop: 2 r3c3 -2- r2c23 =2= r2c8 -2- r8c8 -7- r8c7 =7= r4c7 =6= r5c7 -6- r5c3 =6= r3c3 => r3c3<>2
22. Grouped Discontinuous Nice Loop: 6 r4c1 -6- r8c1 =6= r8c2 =1= r2c2 -1- r2c4 =1= r6c4 -1- r5c5 -3- r5c13 =3= r4c1 => r4c1<>6
23. Discontinuous Nice Loop: 2 r8c1 -2- r8c8 -7- r8c7 =7= r4c7 =6= r4c2 -6- r8c2 =6= r8c1 => r8c1<>2
24. Empty Rectangle: 2 in b3 (r35c1) => r5c8<>2
25. Discontinuous Nice Loop: 3 r5c1 -3- r5c5 -1- r1c5 =1= r1c1 =9= r3c1 =2= r5c1 => r5c1<>3
26. Grouped AIC: 2/6 2- r5c1 =2= r3c1 -2- r2c23 =2= r2c8 -2- r8c8 -7- r8c7 =7= r4c7 =6= r5c7 -6 => r5c7<>2, r5c1<>6
27. Almost Locked Set XZ-Rule: A=r4c1 {38}, B=r5c159 {1238}, X=8, Z=3 => r5c3<>3
28. Row 4 / Column 1 → 3 (Hidden Single)
29. Discontinuous Nice Loop: 2 r5c9 -2- r5c1 -8- r7c1 -1- r7c9 =1= r5c9 => r5c9<>2
30. Locked Candidates Type 1 (Pointing): 2 in b6 => r6c2<>2
31. Naked Pair: 1,3 in r5c59 => r5c7<>1, r5c78<>3
32. Hidden Triple: 1,2,3 in r5c9,r6c78 => r6c78<>8, r6c8<>9
33. X-Wing: 3 c68 r26 => r2c5<>3
34. XYZ-Wing: 1/2/7 in r68c7,r8c8 => r9c7<>2
35. Continuous Nice Loop: 2/7/8/9 3= r1c5 =1= r1c1 =9= r3c1 -9- r3c7 -2- r6c7 -1- r6c4 =1= r5c5 =3= r1c5 =1 => r8c7<>2, r1c5<>7, r1c1<>8, r3c9<>9
36. Row 2 / Column 5 → 7 (Hidden Single)
37. XY-Wing: 1/7/2 in r68c7,r8c8 => r6c8<>2
38. Row 6 / Column 8 → 3 (Naked Single)
39. Row 5 / Column 9 → 1 (Naked Single)
40. Row 6 / Column 6 → 9 (Naked Single)
41. Row 2 / Column 6 → 3 (Full House)
42. Row 5 / Column 5 → 3 (Naked Single)
43. Row 6 / Column 7 → 2 (Naked Single)
44. Row 4 / Column 4 → 8 (Naked Single)
45. Row 6 / Column 4 → 1 (Full House)
46. Row 6 / Column 2 → 8 (Full House)
47. Row 2 / Column 4 → 9 (Full House)
48. Row 1 / Column 5 → 1 (Full House)
49. Row 3 / Column 7 → 9 (Naked Single)
50. Row 5 / Column 1 → 2 (Naked Single)
51. Row 1 / Column 1 → 9 (Naked Single)
52. Row 3 / Column 1 → 6 (Naked Single)
53. Row 3 / Column 3 → 7 (Naked Single)
54. Row 3 / Column 9 → 2 (Full House)
55. Row 8 / Column 1 → 1 (Naked Single)
56. Row 7 / Column 1 → 8 (Full House)
57. Row 1 / Column 3 → 8 (Naked Single)
58. Row 2 / Column 8 → 8 (Naked Single)
59. Row 8 / Column 7 → 7 (Naked Single)
60. Row 7 / Column 5 → 9 (Naked Single)
61. Row 9 / Column 5 → 8 (Full House)
62. Row 1 / Column 7 → 3 (Naked Single)
63. Row 1 / Column 9 → 7 (Full House)
64. Row 2 / Column 3 → 2 (Naked Single)
65. Row 2 / Column 2 → 1 (Full House)
66. Row 5 / Column 8 → 9 (Naked Single)
67. Row 4 / Column 7 → 6 (Naked Single)
68. Row 8 / Column 8 → 2 (Naked Single)
69. Row 4 / Column 8 → 7 (Full House)
70. Row 4 / Column 2 → 9 (Full House)
71. Row 5 / Column 7 → 8 (Full House)
72. Row 8 / Column 2 → 6 (Full House)
73. Row 7 / Column 9 → 3 (Naked Single)
74. Row 9 / Column 9 → 9 (Full House)
75. Row 9 / Column 7 → 5 (Naked Single)
76. Row 7 / Column 7 → 1 (Full House)
77. Row 7 / Column 3 → 5 (Full House)
78. Row 5 / Column 2 → 5 (Naked Single)
79. Row 9 / Column 2 → 2 (Full House)
80. Row 9 / Column 3 → 3 (Full House)
81. Row 5 / Column 3 → 6 (Full House)