... by: osiguy
Super fun solve Andrew! 85 Moves!WSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 ForcinWSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching rWSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full HoWSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full HoWSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last RWSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7}WSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain frWSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5WSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patterns always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patternsom R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patterns in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patternsemaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patternsuse/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patternsuse/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patternseveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 ForcinWSRF Player Solve Path
Puzzle: 100006020000000008053002700000920005040000090200031000008600540700000000010280009
Solution: 174856923962473158853192764637924815541768392289531476328619547796345281415287639
Date: 2026.03.03
Time: 00:56
Moves: 85
Max Level: L6
Shapes: Beam Scan:6 Force Vision:46 Ghost Signal:5 Zone Lock:25
Techniques: Pointing Pair:4 ALS-XY-Wing:4 Forcing Chain:19 Naked Triple:2 Naked Pair:2 Claiming:2 ALS-XZ:6 Template:16 Hidden Triple:1 Last Remaining:11 Hidden Single:1 Forcing Net:1 Full House:13
1. R2C8=5
2. R5C5=6
3. R9C7=6
4. ~R3C1-6 Pointing Pair/L3
Pointing Pair: 6 in Box 3 points along R3
5. ~R9C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=3, y=5, eliminates 4
6. ~R8C3-4 Pointing Pair/L3
Pointing Pair: 4 in Box 8 points along R8
7. ~R1C2-9 Forcing Chain/L4
Forcing Chain from R1C2: eliminate contradicted candidates
8. ~R3C5-1 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
9. ~R4C6-7 Forcing Chain/L4
Forcing Chain from R4C6: eliminate contradicted candidates
10. ~R5C1-3 Forcing Chain/L4
Forcing Chain from R5C1: eliminate contradicted candidates
11. ~R5C3-5 ~R5C3-7 ~R5C9-7 Naked Triple/L2
Naked Triple {5, 7, 8} in R5
12. R5C3=1 Forcing Chain/L4
Forcing Chain from R4C6: R5C3 must be 1
13. ~R4C7-3 ~R4C8-3 Naked Pair/L2
Naked Pair {2, 3} in Box 6
14. ~R6C4-7 Claiming/L3
Claiming: 7 in R5 is confined to Box 5
15. ~R7C9-3 ~R8C7-3 ~R8C9-3 Claiming/L3
Claiming: 3 in C8 is confined to Box 9
16. R5C4=7 Forcing Chain/L4
Forcing Chain from R3C8: R5C4 must be 7
17. ~R1C7-4 Forcing Chain/L4
Forcing Chain from R1C7: eliminate contradicted candidates
18. ~R2C1-4 Forcing Chain/L4
Forcing Chain from R2C1: eliminate contradicted candidates
19. ~R3C4-4 Forcing Chain/L4
Forcing Chain from R1C2: eliminate from R3C4
20. ~R3C5-4 Forcing Chain/L4
Forcing Chain from R3C5: eliminate contradicted candidates
21. R3C5=9 Forcing Chain/L4
Forcing Chain from R1C2: R3C5 must be 9
22. ~R2C3-4 ALS-XZ/L5
ALS-XZ: RCC=1, eliminates 4
23. ~R8C3-9 ALS-XZ/L5
ALS-XZ: RCC=6, eliminates 9
24. ~R8C6-4 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=9, y=5, eliminates 4
25. ~R8C5-5 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 5
26. R1C5=5 Forcing Chain/L4
Forcing Chain from R1C2: R1C5 must be 5
27. ~R2C2-7 ~R2C3-7 Pointing Pair/L3
Pointing Pair: 7 in Box 2 points along R2
28. ~R2C7-9 Naked Triple/L2
Naked Triple {2, 6, 9} in R2
29. R1C7=9 Forcing Chain/L4
Forcing Chain from R1C2: R1C7 must be 9
30. ~R4C8-6 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 6
31. ~R6C2-6 ~R6C3-6 Pointing Pair/L3
Pointing Pair: 6 in Box 6 points along R6
32. ~R8C2-2 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=5, y=9, eliminates 2
33. ~R6C3-5 ALS-XY-Wing/L5
ALS-XY-Wing: RCC x=8, y=2, eliminates 5
34. R5C1=5 Template/L6
Template: digit 5 always at R5C1 in all 2 valid patterns
35. R6C4=5 Template/L6
Template: digit 5 always at R6C4 in all 2 valid patterns
36. R4C6=4 Template/L6
Template: digit 4 always at R4C6 in all 5 valid patterns
37. R5C6=8 Template/L6
Template: digit 8 always at R5C6 in all 6 valid patterns
38. ~R8C3-2 ~R8C6-3 ~R8C2-3 Hidden Triple/L2
Hidden Triple {5, 6, 9} in R8
39. R7C2=2 Last Remaining/L1
Cross-hatching reveals 2 can only go in one cell in Box 7
40. R2C3=2 Template/L6
Template: digit 2 always at R2C3 in all 2 valid patterns
41. R4C2=3 Template/L6
Template: digit 3 always at R4C2 in all 5 valid patterns
42. R6C3=9 Template/L6
Template: digit 9 always at R6C3 in all 2 valid patterns
43. ~R7C6-7 Naked Pair/L2
Naked Pair {1, 7} in R7
44. ~R2C4-3 ALS-XZ/L5
ALS-XZ: RCC=2, eliminates 3
45. ~R4C8-7 ALS-XZ/L5
ALS-XZ: RCC=4, eliminates 7
46. R4C3=7 Hidden Single/L2
7 can only go in one cell in R4
47. R1C2=7 Forcing Chain/L4
Forcing Chain from R1C2: must be 7 — all other branches contradict
48. R3C1=8 Last Remaining/L1
Cross-hatching reveals 8 can only go in one cell in Box 1
49. R1C3=4 Template/L6
Template: digit 4 always at R1C3 in all 2 valid patterns
50. R1C4=8 Forcing Chain/L4
Forcing Chain from R1C4: must be 8 — all other branches contradict
51. R1C9=3 Template/L6
Template: digit 3 always at R1C9 in all 1 valid patterns
52. R2C6=3 Template/L6
Template: digit 3 always at R2C6 in all 1 valid patterns
53. R2C5=7 Forcing Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patternsg Net/L5
Forcing Net from R2C5: must be 7 — all other branches contradict
54. R2C4=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 2
55. R3C4=1 Full House/L1
Box 2 has 8 cells filled — the last cell is determined!
56. R8C4=3 Full House/L1
C4 has 8 cells filled — only one empty cell remains!
57. R2C7=1 Template/L6
Template: digit 1 always at R2C7 in all 2 valid patterns
58. R3C9=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 3
59. R3C8=6 Full House/L1
R3 has 8 cells filled — only one empty cell remains!
60. R4C1=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 4
61. R6C2=8 Full House/L1
Box 4 has 8 cells filled — the last cell is determined!
62. R2C2=6 Forcing Chain/L4
Forcing Chain from R2C2: must be 6 — all other branches contradict
63. R2C1=9 Full House/L1
R2 has 8 cells filled — only one empty cell remains!
64. R8C2=9 Full House/L1
C2 has 8 cells filled — only one empty cell remains!
65. R4C8=1 Forcing Chain/L4
Forcing Chain from R4C8: must be 1 — all other branches contradict
66. R4C7=8 Full House/L1
R4 has 8 cells filled — only one empty cell remains!
67. R5C7=3 Forcing Chain/L4
Forcing Chain from R5C7: must be 3 — all other branches contradict
68. R5C9=2 Template/L6
Template: digit 2 always at R5C9 in all 1 valid patterns
69. R6C7=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 6
70. R8C7=2 Template/L6
Template: digit 2 always at R8C7 in all 1 valid patterns
71. R6C9=6 Forcing Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patternsg Chain/L4
Forcing Chain from R6C9: must be 6 — all other branches contradict
72. R6C8=7 Full House/L1
R6 has 8 cells filled — only one empty cell remains!
73. R9C1=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 7
74. R7C1=3 Template/L6
Template: digit 3 always at R7C1 in all 1 valid patterns
75. R8C3=6 Last Remaining/L1
Cross-hatching reveals 6 can only go in one cell in Box 7
76. R9C3=5 Full House/L1
C3 has 8 cells filled — only one empty cell remains!
77. R8C5=4 Last Remaining/L1
Cross-hatching reveals 4 can only go in one cell in Box 8
78. R7C5=1 Template/L6
Template: digit 1 always at R7C5 in all 1 valid patterns
79. R8C6=5 Last Remaining/L1
Cross-hatching reveals 5 can only go in one cell in Box 8
80. R9C6=7 Last Remaining/L1
Cross-hatching reveals 7 can only go in one cell in Box 8
81. R9C8=3 Full House/L1
R9 has 8 cells filled — only one empty cell remains!
82. R7C6=9 Full House/L1
C6 has 8 cells filled — only one empty cell remains!
83. R7C9=7 Full House/L1
R7 has 8 cells filled — only one empty cell remains!
84. R8C8=8 Full House/L1
C8 has 8 cells filled — only one empty cell remains!
85. R8C9=1 Template/L6
Template: digit 1 always at R8C9 in all 1 valid patterns