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

This Sudoku Puzzle has 81 steps and it is solved using Naked Single, Full House, Hidden Single, Locked Pair, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Hidden Pair, Empty Rectangle, undefined, Uniqueness Test 1, Hidden Rectangle, Sue de Coq, Discontinuous Nice Loop 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 9 / Column 9 → 9 (Naked Single)
  2. Row 8 / Column 9 → 5 (Naked Single)
  3. Row 7 / Column 8 → 6 (Full House)
  4. Row 7 / Column 2 → 4 (Naked Single)
  5. Row 7 / Column 1 → 9 (Naked Single)
  6. Row 7 / Column 3 → 3 (Naked Single)
  7. Row 7 / Column 4 → 5 (Naked Single)
  8. Row 4 / Column 3 → 2 (Hidden Single)
  9. Row 1 / Column 3 → 9 (Hidden Single)
  10. Row 8 / Column 4 → 9 (Hidden Single)
  11. Locked Pair: 7,8 in r6c23 => r46c1,r5c3,r6c58<>8
  12. Row 6 / Column 1 → 5 (Naked Single)
  13. Row 3 / Column 1 → 8 (Hidden Single)
  14. Row 5 / Column 8 → 8 (Hidden Single)
  15. Row 1 / Column 9 → 8 (Hidden Single)
  16. Locked Candidates Type 1 (Pointing): 3 in b6 => r23c7<>3
  17. Locked Candidates Type 1 (Pointing): 4 in b6 => r123c7<>4
  18. Locked Candidates Type 2 (Claiming): 4 in r1 => r2c45,r3c45<>4
  19. Hidden Pair: 2,7 in r17c6 => r1c6<>1, r1c6<>5, r1c6<>6
  20. Locked Candidates Type 1 (Pointing): 5 in b2 => r4c5<>5
  21. Empty Rectangle: 6 in b7 (r5c36) => r8c6<>6
  22. XY-Wing: 4/5/6 in r35c7,r5c3 => r3c3<>6
  23. Uniqueness Test 1: 2/7 in r1c56,r7c56 => r1c5<>2, r1c5<>7
  24. Hidden Rectangle: 1/9 in r2c78,r6c78 => r2c7<>1
  25. XY-Chain: 6 6- r1c2 -7- r3c3 -4- r3c9 -3- r3c4 -6 => r1c45<>6
  26. Hidden Rectangle: 1/4 in r1c45,r9c45 => r9c5<>1
  27. XY-Chain: 5 5- r3c7 -6- r3c4 -3- r3c9 -4- r3c3 -7- r1c2 -6- r2c1 -4- r4c1 -6- r5c3 -4- r5c7 -5 => r14c7<>5
  28. XY-Chain: 9 9- r2c7 -6- r2c1 -4- r4c1 -6- r5c3 -4- r5c7 -5- r4c8 -1- r6c8 -9 => r2c8,r6c7<>9
  29. Row 2 / Column 7 → 9 (Hidden Single)
  30. Row 6 / Column 8 → 9 (Hidden Single)
  31. XY-Wing: 1/6/7 in r1c27,r2c8 => r1c8<>7
  32. Sue de Coq: r2c45 - {1367} (r2c8 - {17}, r3c4 - {36}) => r3c5<>3, r3c5<>6
  33. Empty Rectangle: 6 in b2 (r24c1) => r4c4<>6
  34. Discontinuous Nice Loop: 1/4 r1c5 =5= r1c8 =2= r1c6 =7= r1c2 =6= r1c7 -6- r3c7 -5- r3c5 =5= r1c5 => r1c5<>1, r1c5<>4
  35. Row 1 / Column 5 → 5 (Naked Single)
  36. Row 1 / Column 4 → 4 (Hidden Single)
  37. Row 9 / Column 5 → 4 (Hidden Single)
  38. Locked Candidates Type 1 (Pointing): 1 in b2 => r2c8<>1
  39. Row 2 / Column 8 → 7 (Naked Single)
  40. Discontinuous Nice Loop: 6 r2c4 -6- r2c1 =6= r1c2 -6- r1c7 -1- r6c7 =1= r6c5 -1- r2c5 =1= r2c4 => r2c4<>6
  41. 2-String Kite: 6 in r2c5,r8c2 (connected by r1c2,r2c1) => r8c5<>6
  42. Locked Candidates Type 1 (Pointing): 6 in b8 => r9c3<>6
  43. X-Wing: 6 c15 r24 => r4c6<>6
  44. XYZ-Wing: 1/3/5 in r4c68,r6c5 => r4c45<>1
  45. XY-Chain: 4 4- r3c3 -7- r6c3 -8- r9c3 -1- r9c6 -6- r5c6 -5- r5c7 -4- r5c3 -6- r4c1 -4 => r2c1,r5c3<>4
  46. Row 2 / Column 1 → 6 (Naked Single)
  47. Row 4 / Column 1 → 4 (Full House)
  48. Row 5 / Column 3 → 6 (Naked Single)
  49. Row 1 / Column 2 → 7 (Naked Single)
  50. Row 3 / Column 3 → 4 (Full House)
  51. Row 5 / Column 6 → 5 (Naked Single)
  52. Row 5 / Column 7 → 4 (Full House)
  53. Row 1 / Column 6 → 2 (Naked Single)
  54. Row 6 / Column 2 → 8 (Naked Single)
  55. Row 6 / Column 3 → 7 (Full House)
  56. Row 8 / Column 2 → 6 (Full House)
  57. Row 3 / Column 9 → 3 (Naked Single)
  58. Row 2 / Column 9 → 4 (Full House)
  59. Row 1 / Column 8 → 1 (Naked Single)
  60. Row 1 / Column 7 → 6 (Full House)
  61. Row 3 / Column 5 → 7 (Naked Single)
  62. Row 7 / Column 6 → 7 (Naked Single)
  63. Row 7 / Column 5 → 2 (Full House)
  64. Row 3 / Column 4 → 6 (Naked Single)
  65. Row 4 / Column 8 → 5 (Naked Single)
  66. Row 3 / Column 8 → 2 (Full House)
  67. Row 3 / Column 7 → 5 (Full House)
  68. Row 4 / Column 5 → 6 (Hidden Single)
  69. Row 9 / Column 6 → 6 (Hidden Single)
  70. Row 4 / Column 4 → 8 (Hidden Single)
  71. Row 9 / Column 4 → 1 (Naked Single)
  72. Row 2 / Column 4 → 3 (Full House)
  73. Row 9 / Column 3 → 8 (Full House)
  74. Row 2 / Column 5 → 1 (Full House)
  75. Row 8 / Column 3 → 1 (Full House)
  76. Row 8 / Column 6 → 3 (Naked Single)
  77. Row 4 / Column 6 → 1 (Full House)
  78. Row 6 / Column 5 → 3 (Full House)
  79. Row 8 / Column 5 → 8 (Full House)
  80. Row 4 / Column 7 → 3 (Full House)
  81. Row 6 / Column 7 → 1 (Full House)
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