3
1
8
5
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7
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1
4
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9
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7
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7

This Sudoku Puzzle has 102 steps and it is solved using Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Hidden Pair, undefined, Hidden Rectangle, Discontinuous Nice Loop, Grouped Discontinuous Nice Loop, AIC, Sue de Coq, Continuous Nice Loop, Naked Single, Finned Swordfish, Hidden Single, Empty Rectangle, Naked Triple, Full House techniques.

Try To Solve This Puzzle

Solution Steps:

1. Locked Candidates Type 1 (Pointing): 3 in b6 => r79c8<>3
2. Locked Candidates Type 2 (Claiming): 7 in c2 => r1c3<>7
3. Hidden Pair: 7,9 in r7c6,r9c4 => r7c6,r9c4<>1, r7c6<>2, r7c6,r9c4<>3, r9c4<>8
4. 2-String Kite: 9 in r2c1,r6c8 (connected by r4c1,r6c2) => r2c8<>9
5. Hidden Rectangle: 7/9 in r1c29,r3c29 => r1c9<>9
6. Discontinuous Nice Loop: 4 r1c9 -4- r3c7 -9- r3c2 -7- r3c9 =7= r1c9 => r1c9<>4
7. Discontinuous Nice Loop: 5 r1c9 -5- r1c5 =5= r6c5 -5- r6c2 -9- r3c2 -7- r3c9 =7= r1c9 => r1c9<>5
8. Locked Candidates Type 1 (Pointing): 5 in b3 => r7c8<>5
9. Discontinuous Nice Loop: 2 r1c8 -2- r1c2 =2= r8c2 =5= r6c2 =9= r6c8 -9- r7c8 -2- r1c8 => r1c8<>2
10. Discontinuous Nice Loop: 9 r2c7 -9- r2c1 =9= r4c1 -9- r6c2 -5- r6c5 =5= r1c5 -5- r1c8 =5= r2c8 =8= r2c7 => r2c7<>9
11. Discontinuous Nice Loop: 2 r7c9 -2- r7c8 -9- r6c8 =9= r6c2 =5= r8c2 -5- r8c9 =5= r7c9 => r7c9<>2
12. Grouped Discontinuous Nice Loop: 9 r1c8 -9- r3c7 -4- r3c5 -3- r79c5 =3= r8c46 -3- r8c7 =3= r9c7 =9= r13c7 -9- r1c8 => r1c8<>9
13. AIC: 4/6 6- r3c6 =6= r3c9 -6- r1c8 -5- r1c5 =5= r6c5 =4= r6c6 -4 => r3c6<>4, r6c6<>6
14. Discontinuous Nice Loop: 6 r1c9 -6- r1c8 -5- r1c5 =5= r6c5 -5- r6c2 -9- r3c2 -7- r3c9 =7= r1c9 => r1c9<>6
15. Discontinuous Nice Loop: 6 r2c4 -6- r3c6 =6= r3c9 -6- r1c8 -5- r2c8 =5= r2c4 => r2c4<>6
16. W-Wing: 5/9 in r2c4,r6c2 connected by 9 in r24c1 => r6c4<>5
17. Discontinuous Nice Loop: 5 r1c4 -5- r1c5 =5= r6c5 -5- r6c2 -9- r4c1 =9= r2c1 -9- r2c4 -5- r1c4 => r1c4<>5
18. Discontinuous Nice Loop: 9 r2c6 -9- r2c1 =9= r4c1 -9- r6c2 -5- r6c5 =5= r1c5 -5- r2c4 -9- r2c6 => r2c6<>9
19. Sue de Coq: r2c13 - {2469} (r2c6 - {46}, r13c2 - {279}) => r1c3<>2, r2c7<>4, r2c8<>6
20. Continuous Nice Loop: 1/3/6 5= r6c5 =4= r6c6 -4- r2c6 -6- r3c6 =6= r3c9 -6- r1c8 -5- r1c5 =5= r6c5 =4 => r6c5<>1, r6c5<>3, r1c4,r45c6<>6
21. Discontinuous Nice Loop: 4 r2c1 -4- r2c6 =4= r6c6 -4- r6c5 -5- r6c2 -9- r4c1 =9= r2c1 => r2c1<>4
22. Locked Candidates Type 1 (Pointing): 4 in b1 => r9c3<>4
23. Discontinuous Nice Loop: 6 r2c3 -6- r2c1 -9- r2c4 -5- r2c8 =5= r1c8 =6= r1c3 -6- r2c3 => r2c3<>6
24. Discontinuous Nice Loop: 1 r4c1 -1- r6c3 -6- r1c3 =6= r2c1 =9= r4c1 => r4c1<>1
25. Discontinuous Nice Loop: 1 r5c3 -1- r5c7 -2- r2c7 -8- r8c7 =8= r8c4 -8- r5c4 =8= r5c3 => r5c3<>1
26. Discontinuous Nice Loop: 6 r5c1 -6- r2c1 -9- r2c4 -5- r5c4 =5= r5c1 => r5c1<>6
27. Hidden Pair: 6,9 in r24c1 => r4c1<>7
28. 2-String Kite: 6 in r1c8,r4c1 (connected by r1c3,r2c1) => r4c8<>6
29. Discontinuous Nice Loop: 3 r4c5 -3- r4c8 =3= r6c8 =6= r1c8 -6- r3c9 =6= r3c6 =3= r3c5 -3- r4c5 => r4c5<>3
30. Discontinuous Nice Loop: 2 r4c8 -2- r7c8 -9- r7c6 =9= r3c6 =6= r3c9 -6- r1c8 =6= r6c8 =3= r4c8 => r4c8<>2
31. Discontinuous Nice Loop: 9 r4c8 -9- r4c1 -6- r2c1 =6= r1c3 -6- r1c8 =6= r6c8 =3= r4c8 => r4c8<>9
32. Row 4 / Column 8 → 3 (Naked Single)
33. Finned Swordfish: 9 r249 c149 fr9c7 fr9c8 => r7c9<>9
34. Discontinuous Nice Loop: 1/6 r6c4 =3= r6c6 =4= r2c6 -4- r2c3 -2- r2c7 -8- r8c7 =8= r8c4 =3= r6c4 => r6c4<>1, r6c4<>6
35. Row 6 / Column 4 → 3 (Naked Single)
36. X-Wing: 6 r16 c38 => r45c3<>6
37. Continuous Nice Loop: 1/6/7/8 6= r5c4 =5= r5c1 -5- r6c2 -9- r6c8 -6- r5c9 =6= r5c4 =5 => r5c4<>1, r4c9<>6, r5c4<>7, r5c4<>8
38. Row 5 / Column 3 → 8 (Hidden Single)
39. 2-String Kite: 7 in r5c1,r9c4 (connected by r4c4,r5c6) => r9c1<>7
40. AIC: 2 2- r7c8 -9- r7c6 -7- r7c1 =7= r5c1 =5= r6c2 -5- r8c2 -2 => r7c3,r8c79<>2
41. Empty Rectangle: 2 in b9 (r29c3) => r2c8<>2
42. Locked Candidates Type 2 (Claiming): 2 in c8 => r9c79<>2
43. XY-Chain: 7 7- r4c3 -1- r6c3 -6- r1c3 -4- r2c3 -2- r2c7 -8- r2c8 -5- r2c4 -9- r9c4 -7 => r4c4,r9c3<>7
44. Row 9 / Column 4 → 7 (Hidden Single)
45. Row 7 / Column 6 → 9 (Naked Single)
46. Row 7 / Column 8 → 2 (Naked Single)
47. Naked Triple: 3,4,6 in r23c6,r3c5 => r1c5<>4
48. Hidden Pair: 2,8 in r49c5 => r49c5<>1, r9c5<>3
49. W-Wing: 8/2 in r2c7,r9c5 connected by 2 in r29c3 => r9c7<>8
50. XY-Chain: 1 1- r5c7 -2- r2c7 -8- r2c8 -5- r2c4 -9- r2c1 -6- r2c6 -4- r6c6 -1 => r5c6<>1
51. XY-Chain: 1 1- r6c3 -6- r6c8 -9- r6c2 -5- r6c5 -4- r3c5 -3- r7c5 -1 => r7c3<>1
52. XY-Chain: 1 1- r4c3 -7- r7c3 -3- r7c5 -1- r1c5 -5- r6c5 -4- r6c6 -1 => r4c46,r6c3<>1
53. Row 6 / Column 3 → 6 (Naked Single)
54. Row 1 / Column 3 → 4 (Naked Single)
55. Row 4 / Column 1 → 9 (Naked Single)
56. Row 6 / Column 8 → 9 (Naked Single)
57. Row 2 / Column 3 → 2 (Naked Single)
58. Row 2 / Column 1 → 6 (Naked Single)
59. Row 6 / Column 2 → 5 (Naked Single)
60. Row 9 / Column 8 → 8 (Naked Single)
61. Row 2 / Column 7 → 8 (Naked Single)
62. Row 2 / Column 6 → 4 (Naked Single)
63. Row 6 / Column 5 → 4 (Naked Single)
64. Row 6 / Column 6 → 1 (Full House)
65. Row 8 / Column 2 → 2 (Naked Single)
66. Row 2 / Column 8 → 5 (Naked Single)
67. Row 1 / Column 8 → 6 (Full House)
68. Row 2 / Column 4 → 9 (Full House)
69. Row 9 / Column 5 → 2 (Naked Single)
70. Row 3 / Column 5 → 3 (Naked Single)
71. Row 8 / Column 6 → 3 (Naked Single)
72. Row 1 / Column 4 → 1 (Naked Single)
73. Row 4 / Column 5 → 8 (Naked Single)
74. Row 3 / Column 6 → 6 (Naked Single)
75. Row 1 / Column 5 → 5 (Full House)
76. Row 7 / Column 5 → 1 (Full House)
77. Row 8 / Column 4 → 8 (Full House)
78. Row 4 / Column 4 → 6 (Naked Single)
79. Row 5 / Column 4 → 5 (Full House)
80. Row 7 / Column 9 → 5 (Naked Single)
81. Row 7 / Column 1 → 7 (Naked Single)
82. Row 7 / Column 3 → 3 (Full House)
83. Row 5 / Column 1 → 1 (Naked Single)
84. Row 4 / Column 3 → 7 (Full House)
85. Row 9 / Column 3 → 1 (Full House)
86. Row 5 / Column 7 → 2 (Naked Single)
87. Row 9 / Column 1 → 4 (Naked Single)
88. Row 8 / Column 1 → 5 (Full House)
89. Row 4 / Column 6 → 2 (Naked Single)
90. Row 4 / Column 9 → 1 (Full House)
91. Row 5 / Column 6 → 7 (Full House)
92. Row 5 / Column 9 → 6 (Full House)
93. Row 1 / Column 7 → 9 (Naked Single)
94. Row 9 / Column 9 → 9 (Naked Single)
95. Row 9 / Column 7 → 3 (Full House)
96. Row 8 / Column 9 → 4 (Naked Single)
97. Row 8 / Column 7 → 1 (Full House)
98. Row 3 / Column 7 → 4 (Full House)
99. Row 1 / Column 2 → 7 (Naked Single)
100. Row 1 / Column 9 → 2 (Full House)
101. Row 3 / Column 9 → 7 (Full House)
102. Row 3 / Column 2 → 9 (Full House)