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

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

Try To Solve This Puzzle

## Solution Steps:

1. Row 9 / Column 6 → 7 (Naked Single)
2. Row 8 / Column 6 → 8 (Naked Single)
3. Row 2 / Column 6 → 4 (Hidden Single)
4. Row 6 / Column 6 → 3 (Hidden Single)
5. Locked Triple: 3,4,9 in r789c1 => r1c1,r78c3<>9, r4c1,r78c3<>3, r46c1,r7c3<>4
6. Locked Candidates Type 1 (Pointing): 5 in b4 => r4c9<>5
7. Locked Candidates Type 1 (Pointing): 7 in b7 => r456c3<>7
8. Naked Pair: 4,9 in r9c17 => r9c4<>9
9. 2-String Kite: 2 in r1c1,r5c4 (connected by r5c3,r6c1) => r1c4<>2
10. X-Chain: 2 r5c4 =2= r5c3 -2- r6c1 =2= r1c1 -2- r1c6 =2= r7c6 => r7c4<>2
11. Naked Triple: 1,6,9 in r79c4,r8c5 => r7c5<>6, r7c5<>9
12. Row 1 / Column 5 → 6 (Hidden Single)
13. XY-Chain: 7 7- r4c5 -1- r8c5 -9- r7c4 -6- r9c4 -1- r9c2 -6- r6c2 -7 => r4c2,r6c5<>7
14. Row 6 / Column 2 → 7 (Hidden Single)
15. AIC: 7 7- r5c8 -8- r5c4 =8= r4c4 =1= r9c4 -1- r9c2 =1= r8c3 =7= r8c9 -7 => r45c9,r7c8<>7
16. Naked Pair: 4,9 in r7c8,r9c7 => r7c7<>4, r7c7,r8c9<>9
17. XY-Chain: 7 7- r1c4 -9- r7c4 -6- r7c3 -7- r7c7 -3- r8c9 -7 => r1c9<>7
18. AIC: 7 7- r1c4 =7= r1c7 =1= r1c3 -1- r8c3 -7- r8c9 =7= r3c9 -7 => r1c7,r3c45<>7
19. Row 1 / Column 4 → 7 (Hidden Single)
20. Row 4 / Column 5 → 7 (Hidden Single)
21. XY-Wing: 1/2/8 in r4c4,r6c15 => r4c13<>8
22. Row 4 / Column 1 → 5 (Naked Single)
23. Naked Triple: 3,4,6 in r4c239 => r4c8<>4, r4c8<>6
24. XY-Chain: 5 5- r3c2 -3- r4c2 -6- r9c2 -1- r9c4 -6- r7c4 -9- r8c5 -1- r6c5 -2- r7c5 -5 => r3c5<>5
25. Row 7 / Column 5 → 5 (Hidden Single)
26. Row 7 / Column 6 → 2 (Naked Single)
27. Row 1 / Column 6 → 5 (Full House)
28. Skyscraper: 2 in r1c1,r3c5 (connected by r6c15) => r3c3<>2
29. XY-Chain: 5 5- r3c2 -3- r4c2 -6- r9c2 -1- r8c3 -7- r8c9 -3- r5c9 -5 => r3c9<>5
30. XY-Chain: 3 3- r4c2 -6- r9c2 -1- r8c3 -7- r8c9 -3 => r4c9<>3
31. Locked Candidates Type 1 (Pointing): 3 in b6 => r5c3<>3
32. Naked Pair: 2,8 in r5c3,r6c1 => r6c3<>2, r6c3<>8
33. Naked Pair: 2,8 in r5c34 => r5c78<>8
34. Row 5 / Column 8 → 7 (Naked Single)
35. Discontinuous Nice Loop: 9 r1c7 -9- r9c7 =9= r9c1 -9- r8c1 =9= r8c5 =1= r8c3 -1- r1c3 =1= r1c7 => r1c7<>9
36. Discontinuous Nice Loop: 9 r2c8 -9- r1c9 -2- r1c1 =2= r6c1 -2- r6c5 -1- r8c5 -9- r8c1 -3- r8c9 =3= r5c9 =5= r2c9 =6= r2c8 => r2c8<>9
37. Discontinuous Nice Loop: 9 r2c9 -9- r1c9 -2- r1c1 =2= r6c1 -2- r6c5 -1- r8c5 -9- r8c1 -3- r8c9 =3= r5c9 =5= r2c9 => r2c9<>9
38. Discontinuous Nice Loop: 2 r3c9 -2- r3c5 -9- r8c5 -1- r8c3 -7- r8c9 =7= r3c9 => r3c9<>2
39. Locked Candidates Type 2 (Claiming): 2 in r3 => r2c4<>2
40. XY-Chain: 3 3- r2c4 -9- r7c4 -6- r9c4 -1- r9c2 -6- r4c2 -3 => r2c2<>3
41. Sue de Coq: r2c789 - {12569} (r2c2 - {15}, r1c9 - {29}) => r3c789<>9, r2c3<>1
42. XY-Chain: 1 1- r1c7 -8- r3c8 -4- r7c8 -9- r7c4 -6- r9c4 -1- r9c2 -6- r4c2 -3- r3c2 -5- r2c2 -1 => r1c3,r2c78<>1
43. Row 2 / Column 8 → 6 (Naked Single)
44. Row 1 / Column 7 → 1 (Hidden Single)
45. Row 8 / Column 3 → 1 (Hidden Single)
46. Row 8 / Column 5 → 9 (Naked Single)
47. Row 9 / Column 2 → 6 (Naked Single)
48. Row 3 / Column 5 → 2 (Naked Single)
49. Row 6 / Column 5 → 1 (Full House)
50. Row 7 / Column 4 → 6 (Naked Single)
51. Row 9 / Column 4 → 1 (Full House)
52. Row 8 / Column 1 → 3 (Naked Single)
53. Row 8 / Column 9 → 7 (Full House)
54. Row 4 / Column 2 → 3 (Naked Single)
55. Row 7 / Column 3 → 7 (Naked Single)
56. Row 4 / Column 4 → 8 (Naked Single)
57. Row 5 / Column 4 → 2 (Full House)
58. Row 3 / Column 9 → 4 (Naked Single)
59. Row 7 / Column 7 → 3 (Naked Single)
60. Row 3 / Column 2 → 5 (Naked Single)
61. Row 2 / Column 2 → 1 (Full House)
62. Row 4 / Column 8 → 1 (Naked Single)
63. Row 5 / Column 3 → 8 (Naked Single)
64. Row 3 / Column 8 → 8 (Naked Single)
65. Row 4 / Column 9 → 6 (Naked Single)
66. Row 4 / Column 3 → 4 (Full House)
67. Row 5 / Column 7 → 5 (Naked Single)
68. Row 5 / Column 9 → 3 (Full House)
69. Row 6 / Column 1 → 2 (Naked Single)
70. Row 6 / Column 3 → 6 (Full House)
71. Row 3 / Column 7 → 7 (Naked Single)
72. Row 6 / Column 9 → 9 (Naked Single)
73. Row 2 / Column 7 → 9 (Naked Single)
74. Row 1 / Column 1 → 8 (Naked Single)
75. Row 1 / Column 9 → 2 (Naked Single)
76. Row 1 / Column 3 → 9 (Full House)
77. Row 2 / Column 9 → 5 (Full House)
78. Row 6 / Column 8 → 4 (Naked Single)
79. Row 6 / Column 7 → 8 (Full House)
80. Row 9 / Column 7 → 4 (Full House)
81. Row 7 / Column 8 → 9 (Full House)
82. Row 9 / Column 1 → 9 (Full House)
83. Row 7 / Column 1 → 4 (Full House)
84. Row 2 / Column 4 → 3 (Naked Single)
85. Row 2 / Column 3 → 2 (Full House)
86. Row 3 / Column 3 → 3 (Full House)
87. Row 3 / Column 4 → 9 (Full House)