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

This Sudoku Puzzle has 77 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Naked Single, Locked Pair, Hidden Pair, Continuous Nice Loop, undefined, Discontinuous Nice Loop, Naked Triple, Skyscraper, Locked Candidates Type 2 (Claiming), Bivalue Universal Grave + 1, Full House techniques.

Naked Single Explanation
Hidden Single Explanation
Hidden Pair Explanation
Locked Candidates Explanation
Locked Candidates Explanation
Full House Explanation
Try To Solve This Puzzle

Solution Steps:

  1. Row 8 / Column 1 → 3 (Hidden Single)
  2. Row 9 / Column 6 → 3 (Hidden Single)
  3. Row 2 / Column 9 → 6 (Hidden Single)
  4. Row 8 / Column 5 → 7 (Hidden Single)
  5. Row 6 / Column 6 → 7 (Hidden Single)
  6. Locked Candidates Type 1 (Pointing): 4 in b1 => r2c56<>4
  7. Row 2 / Column 5 → 5 (Naked Single)
  8. Row 2 / Column 6 → 1 (Naked Single)
  9. Locked Pair: 4,6 in r3c56 => r1c6,r3c2<>6, r3c4<>4
  10. Row 1 / Column 6 → 8 (Naked Single)
  11. Row 7 / Column 4 → 8 (Hidden Single)
  12. Row 5 / Column 5 → 8 (Hidden Single)
  13. Hidden Pair: 4,9 in r79c8 => r7c8<>1, r79c8<>5
  14. Continuous Nice Loop: 1/2/5/6/7 7= r2c7 =3= r2c8 -3- r5c8 =3= r5c2 =6= r5c6 =5= r7c6 =4= r7c8 =9= r7c2 =7= r7c1 -7- r2c1 =7= r2c7 =3 => r57c2<>1, r2c7,r5c2<>2, r57c2<>5, r7c2<>6, r1c1<>7
  15. Locked Candidates Type 1 (Pointing): 2 in b4 => r6c79<>2
  16. Locked Candidates Type 1 (Pointing): 1 in b7 => r46c3<>1
  17. Continuous Nice Loop: 5/6 3= r4c2 =1= r6c2 =2= r6c3 -2- r2c3 =2= r2c8 =3= r2c7 -3- r4c7 =3= r4c2 =1 => r46c2<>5, r4c2<>6
  18. XY-Chain: 1 1- r4c2 -3- r5c2 -6- r5c6 -5- r5c4 -1 => r4c4<>1
  19. Row 5 / Column 4 → 1 (Hidden Single)
  20. Row 1 / Column 8 → 1 (Hidden Single)
  21. Discontinuous Nice Loop: 2 r1c2 -2- r1c4 -7- r1c7 =7= r2c7 =3= r2c8 =2= r2c3 -2- r1c2 => r1c2<>2
  22. Discontinuous Nice Loop: 4 r4c1 -4- r4c4 -5- r5c6 -6- r5c2 -3- r5c8 =3= r4c7 =8= r4c1 => r4c1<>4
  23. Discontinuous Nice Loop: 5/6 r4c1 =8= r4c7 =3= r2c7 =7= r2c1 =4= r6c1 =8= r4c1 => r4c1<>5, r4c1<>6
  24. Row 4 / Column 1 → 8 (Naked Single)
  25. Row 6 / Column 7 → 8 (Hidden Single)
  26. XYZ-Wing: 2/4/5 in r26c3,r6c1 => r4c3<>4
  27. Locked Candidates Type 1 (Pointing): 4 in b4 => r6c5<>4
  28. Row 6 / Column 5 → 9 (Naked Single)
  29. Row 4 / Column 9 → 9 (Hidden Single)
  30. Naked Triple: 4,5,6 in r4c345 => r4c7<>5
  31. Naked Triple: 1,5,6 in r478c3 => r6c3<>5
  32. 2-String Kite: 5 in r4c3,r7c6 (connected by r4c4,r5c6) => r7c3<>5
  33. Skyscraper: 5 in r8c3,r9c4 (connected by r4c34) => r9c2<>5
  34. Locked Candidates Type 2 (Claiming): 5 in c2 => r1c1<>5
  35. Row 1 / Column 1 → 6 (Naked Single)
  36. Hidden Pair: 1,6 in r7c37 => r7c7<>5
  37. 2-String Kite: 5 in r6c9,r8c3 (connected by r4c3,r6c1) => r8c9<>5
  38. Locked Candidates Type 1 (Pointing): 5 in b9 => r1c7<>5
  39. Row 1 / Column 2 → 5 (Hidden Single)
  40. Row 3 / Column 8 → 5 (Hidden Single)
  41. Bivalue Universal Grave + 1 => r8c7<>2, r8c7<>5
  42. Row 8 / Column 7 → 1 (Naked Single)
  43. Row 4 / Column 7 → 3 (Naked Single)
  44. Row 7 / Column 7 → 6 (Naked Single)
  45. Row 8 / Column 3 → 5 (Naked Single)
  46. Row 8 / Column 9 → 2 (Full House)
  47. Row 2 / Column 7 → 7 (Naked Single)
  48. Row 4 / Column 2 → 1 (Naked Single)
  49. Row 5 / Column 8 → 2 (Naked Single)
  50. Row 7 / Column 3 → 1 (Naked Single)
  51. Row 9 / Column 7 → 5 (Naked Single)
  52. Row 1 / Column 7 → 2 (Full House)
  53. Row 2 / Column 8 → 3 (Full House)
  54. Row 1 / Column 4 → 7 (Full House)
  55. Row 4 / Column 3 → 6 (Naked Single)
  56. Row 7 / Column 1 → 7 (Naked Single)
  57. Row 5 / Column 9 → 5 (Naked Single)
  58. Row 6 / Column 9 → 1 (Full House)
  59. Row 2 / Column 1 → 4 (Naked Single)
  60. Row 2 / Column 3 → 2 (Full House)
  61. Row 6 / Column 1 → 5 (Full House)
  62. Row 3 / Column 2 → 7 (Full House)
  63. Row 6 / Column 3 → 4 (Full House)
  64. Row 6 / Column 2 → 2 (Full House)
  65. Row 5 / Column 2 → 3 (Full House)
  66. Row 5 / Column 6 → 6 (Full House)
  67. Row 9 / Column 4 → 4 (Naked Single)
  68. Row 7 / Column 6 → 5 (Full House)
  69. Row 3 / Column 6 → 4 (Full House)
  70. Row 3 / Column 4 → 2 (Naked Single)
  71. Row 4 / Column 4 → 5 (Full House)
  72. Row 4 / Column 5 → 4 (Full House)
  73. Row 3 / Column 5 → 6 (Full House)
  74. Row 7 / Column 2 → 9 (Naked Single)
  75. Row 7 / Column 8 → 4 (Full House)
  76. Row 9 / Column 8 → 9 (Full House)
  77. Row 9 / Column 2 → 6 (Full House)
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