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

This Sudoku Puzzle has 87 steps and it is solved using undefined, Locked Candidates Type 1 (Pointing), Hidden Single, Discontinuous Nice Loop, Grouped AIC, AIC, Naked Single, Hidden Pair, Hidden Triple, Locked Candidates Type 2 (Claiming), Hidden Rectangle, Full House techniques.

Try To Solve This Puzzle

## Solution Steps:

1. 2-String Kite: 6 in r1c7,r7c2 (connected by r7c9,r9c7) => r1c2<>6
2. Locked Candidates Type 1 (Pointing): 6 in b1 => r9c3<>6
3. XY-Wing: 1/4/7 in r27c1,r9c3 => r12c3,r89c1<>7
4. Row 8 / Column 6 → 7 (Hidden Single)
5. Discontinuous Nice Loop: 5 r9c7 -5- r8c9 -1- r3c9 -6- r1c7 =6= r9c7 => r9c7<>5
6. Grouped AIC: 6 6- r1c3 =6= r2c3 =1= r23c1 -1- r78c1 =1= r7c2 =6= r7c9 -6- r9c7 =6= r1c7 -6 => r1c49<>6
7. W-Wing: 1/6 in r2c3,r3c9 connected by 6 in r1c37 => r2c9,r3c1<>1
8. AIC: 6 6- r7c2 =6= r9c2 =5= r1c2 -5- r3c1 -3- r1c3 -6- r1c7 =6= r9c7 -6 => r7c9,r9c2<>6
9. Row 7 / Column 2 → 6 (Hidden Single)
10. Locked Candidates Type 1 (Pointing): 1 in b7 => r256c1<>1
11. Row 2 / Column 1 → 7 (Naked Single)
12. Row 2 / Column 3 → 1 (Hidden Single)
13. Row 1 / Column 9 → 7 (Hidden Single)
14. Row 1 / Column 3 → 6 (Hidden Single)
15. Row 9 / Column 7 → 6 (Hidden Single)
16. Locked Candidates Type 1 (Pointing): 3 in b1 => r56c1<>3
17. W-Wing: 8/4 in r1c8,r8c4 connected by 4 in r18c7 => r1c4<>8
18. 2-String Kite: 8 in r1c5,r4c9 (connected by r1c8,r2c9) => r4c5<>8
19. XY-Wing: 2/4/1 in r16c7,r3c8 => r46c8<>1
20. Row 3 / Column 8 → 1 (Hidden Single)
21. Row 3 / Column 9 → 6 (Naked Single)
22. Locked Candidates Type 1 (Pointing): 4 in b3 => r1c45<>4
23. XY-Wing: 2/9/1 in r4c2,r6c17 => r4c9,r6c2<>1
24. Row 4 / Column 2 → 1 (Hidden Single)
25. Hidden Pair: 1,7 in r56c5 => r56c5<>2, r56c5<>3, r5c5<>4, r5c5<>5, r6c5<>8
26. Hidden Triple: 3,6,8 in r6c468 => r6c46<>2, r6c468<>9
27. Locked Candidates Type 2 (Claiming): 9 in r6 => r5c1<>9
28. 2-String Kite: 9 in r4c8,r7c4 (connected by r7c9,r9c8) => r4c4<>9
29. XY-Chain: 3 3- r4c3 -4- r5c1 -2- r6c1 -9- r6c2 -7- r6c5 -1- r6c7 -2- r1c7 -4- r1c8 -8- r6c8 -3 => r4c89<>3
30. AIC: 4 4- r8c4 -8- r9c5 =8= r1c5 -8- r1c8 -4- r1c7 -2- r6c7 -1- r6c5 -7- r6c2 =7= r9c2 -7- r9c3 -4 => r8c1,r9c56<>4
31. Discontinuous Nice Loop: 3 r1c5 -3- r7c5 -4- r8c4 -8- r9c5 =8= r1c5 => r1c5<>3
32. AIC: 3 3- r1c4 =3= r1c1 =9= r6c1 =2= r6c7 -2- r1c7 -4- r8c7 =4= r8c4 -4- r7c5 -3 => r3c5,r7c4<>3
33. Discontinuous Nice Loop: 3 r4c5 -3- r4c3 -4- r5c1 -2- r6c1 =2= r6c7 -2- r1c7 -4- r8c7 =4= r8c4 -4- r7c5 -3- r4c5 => r4c5<>3
34. Locked Candidates Type 2 (Claiming): 3 in c5 => r9c6<>3
35. Discontinuous Nice Loop: 8 r4c4 -8- r4c9 =8= r2c9 =2= r1c7 =4= r8c7 -4- r8c4 -8- r4c4 => r4c4<>8
36. Discontinuous Nice Loop: 5 r4c9 -5- r5c7 =5= r8c7 =4= r1c7 =2= r2c9 =8= r4c9 => r4c9<>5
37. Locked Candidates Type 1 (Pointing): 5 in b6 => r5c4<>5
38. Hidden Rectangle: 1/5 in r5c79,r8c79 => r5c7<>1
39. AIC: 1 1- r7c1 -4- r5c1 -2- r6c1 =2= r6c7 =1= r8c7 -1 => r7c9,r8c1<>1
40. Row 7 / Column 1 → 1 (Hidden Single)
41. Locked Candidates Type 1 (Pointing): 4 in b7 => r9c8<>4
42. Row 1 / Column 8 → 4 (Hidden Single)
43. Row 1 / Column 7 → 2 (Naked Single)
44. Row 2 / Column 9 → 8 (Full House)
45. Row 5 / Column 7 → 5 (Naked Single)
46. Row 6 / Column 7 → 1 (Naked Single)
47. Row 8 / Column 7 → 4 (Full House)
48. Row 6 / Column 5 → 7 (Naked Single)
49. Row 8 / Column 4 → 8 (Naked Single)
50. Row 5 / Column 5 → 1 (Naked Single)
51. Row 6 / Column 2 → 9 (Naked Single)
52. Row 8 / Column 1 → 5 (Naked Single)
53. Row 8 / Column 9 → 1 (Full House)
54. Row 1 / Column 2 → 5 (Naked Single)
55. Row 9 / Column 2 → 7 (Full House)
56. Row 6 / Column 1 → 2 (Naked Single)
57. Row 3 / Column 1 → 3 (Naked Single)
58. Row 1 / Column 1 → 9 (Full House)
59. Row 1 / Column 4 → 3 (Naked Single)
60. Row 1 / Column 5 → 8 (Full House)
61. Row 9 / Column 3 → 4 (Naked Single)
62. Row 9 / Column 1 → 8 (Full House)
63. Row 5 / Column 1 → 4 (Full House)
64. Row 3 / Column 6 → 4 (Naked Single)
65. Row 3 / Column 5 → 5 (Full House)
66. Row 6 / Column 4 → 6 (Naked Single)
67. Row 4 / Column 3 → 3 (Naked Single)
68. Row 5 / Column 3 → 7 (Full House)
69. Row 2 / Column 4 → 2 (Naked Single)
70. Row 2 / Column 6 → 6 (Full House)
71. Row 5 / Column 4 → 9 (Naked Single)
72. Row 7 / Column 4 → 4 (Naked Single)
73. Row 4 / Column 4 → 5 (Full House)
74. Row 7 / Column 5 → 3 (Naked Single)
75. Row 7 / Column 9 → 9 (Full House)
76. Row 9 / Column 5 → 2 (Naked Single)
77. Row 4 / Column 5 → 4 (Full House)
78. Row 9 / Column 6 → 9 (Full House)
79. Row 4 / Column 9 → 2 (Naked Single)
80. Row 9 / Column 8 → 3 (Naked Single)
81. Row 9 / Column 9 → 5 (Full House)
82. Row 5 / Column 9 → 3 (Full House)
83. Row 5 / Column 6 → 2 (Full House)
84. Row 4 / Column 6 → 8 (Naked Single)
85. Row 4 / Column 8 → 9 (Full House)
86. Row 6 / Column 8 → 8 (Full House)
87. Row 6 / Column 6 → 3 (Full House)