... by: osiguy
KHB i didn't get stuck, here is the full solve! I have an advanced forcing chain which i'm sharing with Andrew that should help you solve these!
This is a tough one!
Round 1
lastRemaining R2C8 = 5✓
Notes before: 1 3 5 6 → placed 5
5 can only go here in Box 3 — peers block all other spots
lastRemaining R5C5 = 6✓
Notes before: 5 6 7 → placed 6
6 can only go here in Box 5 — peers block all other spots
Round 2
pointingPair 2 eliminations
R5C4: 8 R6C4: 8
8 in Box 2 points along C4 — eliminates 2 | Removed: R5C4(8), R6C4(8)
Round 3
forcingChain 1 elimination
R9C7: 3
Forcing Chain from R9C7: eliminate contradicted | Removed: R9C7(3)
nakedSingle R9C7 = 6✓
Notes before: 6 → placed 6
Elimination left only {6} → place 6
Round 4
pointingPair 1 elimination
R3C1: 6
6 in Box 3 points along R3 — eliminates 1 | Removed: R3C1(6)
Round 5
forcingChain 1 elimination
R1C2: 9
Forcing Chain from R1C2: eliminate contradicted | Removed: R1C2(9)
Round 6
forcingChain 1 elimination
R3C5: 1
Forcing Chain from R3C5: eliminate contradicted | Removed: R3C5(1)
Round 7
forcingChain 1 elimination
R4C6: 7
Forcing Chain from R4C6: eliminate contradicted | Removed: R4C6(7)
Round 8
forcingChain 1 elimination
R5C1: 3
Forcing Chain from R5C1: eliminate contradicted | Removed: R5C1(3)
Round 9
pointingPair 2 eliminations
R4C7: 3 R4C8: 3
3 in Box 4 points along R4 — eliminates 2 | Removed: R4C7(3), R4C8(3)
claiming 3 eliminations
R7C9: 3 R8C7: 3 R8C9: 3
3 in C8 confined to Box 9 — eliminates 3 | Removed: R7C9(3), R8C7(3), R8C9(3)
Round 10
nakedTriple 4 eliminations
R5C3: 5,7 R5C7: 8 R5C9: 7
Naked Triple {5,7,8} in R5 | Removed: R5C3(5), R5C3(7), R5C7(8), R5C9(7)
nakedSingle R5C3 = 1✓
Notes before: 1 → placed 1
Elimination left only {1} → place 1
Round 11
claiming 1 elimination
R6C4: 7
7 in R5 confined to Box 5 — eliminates 1 | Removed: R6C4(7)
Round 12
forcingChain R5C4 = 7✓
Notes before: 5 7 → placed 7
Forcing Chain from R3C8: R5C4 must be 7
Round 13
forcingChain 1 elimination
R1C7: 4
Forcing Chain from R1C7: eliminate contradicted | Removed: R1C7(4)
Round 14
forcingChain 1 elimination
R2C1: 4
Forcing Chain from R2C1: eliminate contradicted | Removed: R2C1(4)
Round 15
forcingChain 1 elimination
R3C4: 4
Forcing Chain from R1C2: eliminate from R3C4 | Removed: R3C4(4)
Round 16
forcingChain 1 elimination
R3C5: 4
Forcing Chain from R3C5: eliminate contradicted | Removed: R3C5(4)
nakedSingle R3C5 = 9✓
Notes before: 9 → placed 9
Elimination left only {9} → place 9
Round 17
forcingChain 1 elimination
R1C7: 3
Forcing Chain from R1C7: eliminate contradicted | Removed: R1C7(3)
nakedSingle R1C7 = 9✓
Notes before: 9 → placed 9
Elimination left only {9} → place 9
Round 18
nakedTriple 3 eliminations
R2C2: 7 R2C3: 4,7
Naked Triple {4,7,8} in Box 1 | Removed: R2C2(7), R2C3(4), R2C3(7)
Round 19
pointingPair 1 elimination
R1C5: 7
7 in Box 1 points along R1 — eliminates 1 | Removed: R1C5(7)
Round 20
forcingChain 2 eliminations
R8C6: 3,4
Forcing Chain from R1C2: eliminate from R8C6 | Removed: R8C6(3), R8C6(4)
Round 21
forcingChain 2 eliminations
R8C2: 2,3
Forcing Chain from R1C2: eliminate from R8C2 | Removed: R8C2(2), R8C2(3)
Round 22
forcingChain 1 elimination
R1C5: 4
Forcing Chain from R1C5: eliminate contradicted | Removed: R1C5(4)
nakedSingle R1C5 = 5✓
Notes before: 5 → placed 5
Elimination left only {5} → place 5
Round 23
forcingChain R1C9 = 3✓
Notes before: 3 4 → placed 3
Forcing Chain from R1C9: must be 3
nakedSingle R5C9 = 2✓
Notes before: 2 → placed 2
Elimination left only {2} → place 2
Round 24
lastRemaining R5C7 = 3✓
Notes before: 3 → placed 3
3 can only go here in Box 6 — peers block all other spots
lastRemaining R8C7 = 2✓
Notes before: 1 2 8 → placed 2
2 can only go here in Box 9 — peers block all other spots
nakedSingle R8C9 = 1✓
Notes before: 1 → placed 1
Only candidate left: {1} → must be 1
hiddenSingle R7C5 = 1✓
Notes before: 1 7 → placed 1
1 has only one spot in R7 (cell had candidates {1,7})
hiddenSingle R7C2 = 2✓
Notes before: 2 3 9 → placed 2
2 has only one spot in R7 (cell had candidates {2,3,9})
hiddenSingle R8C8 = 8✓
Notes before: 3 8 → placed 8
8 has only one spot in R8 (cell had candidates {3,8})
hiddenSingle R2C3 = 2✓
Notes before: 2 6 9 → placed 2
2 has only one spot in C3 (cell had candidates {2,6,9})
Round 25
lastRemaining R9C8 = 3✓
Notes before: 3 7 → placed 3
3 can only go here in Box 9 — peers block all other spots
nakedSingle R7C9 = 7✓
Notes before: 7 → placed 7
Only candidate left: {7} → must be 7
nakedSingle R8C5 = 4✓
Notes before: 4 → placed 4
Only candidate left: {4} → must be 4
hiddenSingle R8C4 = 3✓
Notes before: 3 5 → placed 3
3 has only one spot in R8 (cell had candidates {3,5})
hiddenSingle R9C6 = 7✓
Notes before: 5 7 → placed 7
7 has only one spot in R9 (cell had candidates {5,7})
hiddenSingle R4C2 = 3✓
Notes before: 3 6 7 8 → placed 3
3 has only one spot in C2 (cell had candidates {3,6,7,8})
hiddenSingle R2C5 = 7✓
Notes before: 7 → placed 7
7 has only one spot in C5 (cell had candidates {7})
Round 26
lastRemaining R2C6 = 3✓
Notes before: 3 4 → placed 3
3 can only go here in Box 2 — peers block all other spots
lastRemaining R7C1 = 3✓
Notes before: 3 9 → placed 3
3 can only go here in Box 7 — peers block all other spots
lastRemaining R8C6 = 5✓
Notes before: 5 9 → placed 5
5 can only go here in Box 8 — peers block all other spots
nakedSingle R5C6 = 8✓
Notes before: 8 → placed 8
Only candidate left: {8} → must be 8
nakedSingle R7C6 = 9✓
Notes before: 9 → placed 9
Only candidate leftRound 1
lastRemaining R2C8 = 5✓
Notes before: 1 3 5 6 → placed 5
5 can only go here in Box 3 — peers block all other spots
lastRemaining R5C5 = 6✓
Notes before: 5 6 7 → placed 6
6 can only go here in Box 5 — peers block all other spots
Round 2
pointingPair 2 eliminations
R5C4: 8 R6C4: 8
8 in Box 2 points along C4 — eliminates 2 | Removed: R5C4(8), R6C4(8)
Round 3
forcingChain 1 elimination
R9C7: 3
Forcing Chain from R9C7: eliminate contradicted | Removed: R9C7(3)
nakedSingle R9C7 = 6✓
Notes before: 6 → placed 6
Elimination left only {6} → place 6
Round 4
pointingPair 1 elimination
R3C1: 6
6 in Box 3 points along R3 — eliminates 1 | Removed: R3C1(6)
Round 5
forcingChain 1 elimination
R1C2: 9
Forcing Chain from R1C2: eliminate contradicted | Removed: R1C2(9)
Round 6
forcingChain 1 elimination
R3C5: 1
Forcing Chain from R3C5: eliminate contradicted | Removed: R3C5(1)
Round 7
forcingChain 1 elimination
R4C6: 7
Forcing Chain from R4C6: eliminate contradicted | Removed: R4C6(7)
Round 8
forcingChain 1 elimination
R5C1: 3
Forcing Chain from R5C1: eliminate contradicted | Removed: R5C1(3)
Round 9
pointingPair 2 eliminations
R4C7: 3 R4C8: 3
3 in Box 4 points along R4 — eliminates 2 | Removed: R4C7(3), R4C8(3)
claiming 3 eliminations
R7C9: 3 R8C7: 3 R8C9: 3
3 in C8 confined to Box 9 — eliminates 3 | Removed: R7C9(3), R8C7(3), R8C9(3)
Round 10
nakedTriple 4 eliminations
R5C3: 5,7 R5C7: 8 R5C9: 7
Naked Triple {5,7,8} in R5 | Removed: R5C3(5), R5C3(7), R5C7(8), R5C9(7)
nakedSingle R5C3 = 1✓
Notes before: 1 → placed 1
Elimination left only {1} → place 1
Round 11
claiming 1 elimination
R6C4: 7
7 in R5 confined to Box 5 — eliminates 1 | Removed: R6C4(7)
Round 12
forcingChain R5C4 = 7✓
Notes before: 5 7 → placed 7
Forcing Chain from R3C8: R5C4 must be 7
Round 13
forcingChain 1 elimination
R1C7: 4
Forcing Chain from R1C7: eliminate contradicted | Removed: R1C7(4)
Round 14
forcingChain 1 elimination
R2C1: 4
Forcing Chain from R2C1: eliminate contradicted | Removed: R2C1(4)
Round 15
forcingChain 1 elimination
R3C4: 4
Forcing Chain from R1C2: eliminate from R3C4 | Removed: R3C4(4)
Round 16
forcingChain 1 elimination
R3C5: 4
Forcing Chain from R3C5: eliminate contradicted | Removed: R3C5(4)
nakedSingle R3C5 = 9✓
Notes before: 9 → placed 9
Elimination left only {9} → place 9
Round 17
forcingChain 1 elimination
R1C7: 3
Forcing Chain from R1C7: eliminate contradicted | Removed: R1C7(3)
nakedSingle R1C7 = 9✓
Notes before: 9 → placed 9
Elimination left only {9} → place 9
Round 18
nakedTriple 3 eliminations
R2C2: 7 R2C3: 4,7
Naked Triple {4,7,8} in Box 1 | Removed: R2C2(7), R2C3(4), R2C3(7)
Round 19
pointingPair 1 elimination
R1C5: 7
7 in Box 1 points along R1 — eliminates 1 | Removed: R1C5(7)
Round 20
forcingChain 2 eliminations
R8C6: 3,4
Forcing Chain from R1C2: eliminate from R8C6 | Removed: R8C6(3), R8C6(4)
Round 21
forcingChain 2 eliminations
R8C2: 2,3
Forcing Chain from R1C2: eliminate from R8C2 | Removed: R8C2(2), R8C2(3)
Round 22
forcingChain 1 elimination
R1C5: 4
Forcing Chain from R1C5: eliminate contradicted | Removed: R1C5(4)
nakedSingle R1C5 = 5✓
Notes before: 5 → placed 5
Elimination left only {5} → place 5
Round 23
forcingChain R1C9 = 3✓
Notes before: 3 4 → placed 3
Forcing Chain from R1C9: must be 3
nakedSingle R5C9 = 2✓
Notes before: 2 → placed 2
Elimination left only {2} → place 2
Round 24
lastRemaining R5C7 = 3✓
Notes before: 3 → placed 3
3 can only go here in Box 6 — peers block all other spots
lastRemaining R8C7 = 2✓
Notes before: 1 2 8 → placed 2
2 can only go here in Box 9 — peers block all other spots
nakedSingle R8C9 = 1✓
Notes before: 1 → placed 1
Only candidate left: {1} → must be 1
hiddenSingle R7C5 = 1✓
Notes before: 1 7 → placed 1
1 has only one spot in R7 (cell had candidates {1,7})
hiddenSingle R7C2 = 2✓
Notes before: 2 3 9 → placed 2
2 has only one spot in R7 (cell had candidates {2,3,9})
hiddenSingle R8C8 = 8✓
Notes before: 3 8 → placed 8
8 has only one spot in R8 (cell had candidates {3,8})
hiddenSingle R2C3 = 2✓
Notes before: 2 6 9 → placed 2
2 has only one spot in C3 (cell had candidates {2,6,9})
Round 25
lastRemaining R9C8 = 3✓
Notes before: 3 7 → placed 3
3 can only go here in Box 9 — peers block all other spots
nakedSingle R7C9 = 7✓
Notes before: 7 → placed 7
Only candidate left: {7} → must be 7
nakedSingle R8C5 = 4✓
Notes before: 4 → placed 4
Only candidate left: {4} → must be 4
hiddenSingle R8C4 = 3✓
Notes before: 3 5 → placed 3
3 has only one spot in R8 (cell had candidates {3,5})
hiddenSingle R9C6 = 7✓
Notes before: 5 7 → placed 7
7 has only one spot in R9 (cell had candidates {5,7})
hiddenSingle R4C2 = 3✓
Notes before: 3 6 7 8 → placed 3
3 has only one spot in C2 (cell had candidates {3,6,7,8})
hiddenSingle R2C5 = 7✓
Notes before: 7 → placed 7
7 has only one spot in C5 (cell had candidates {7})
Round 26
lastRemaining R2C6 = 3✓
Notes before: 3 4 → placed 3
3 can only go here in Box 2 — peers block all other spots
lastRemaining R7C1 = 3✓
Notes before: 3 9 → placed 3
3 can only go here in Box 7 — peers block all other spots
lastRemaining R8C6 = 5✓
Notes before: 5 9 → placed 5
5 can only go here in Box 8 — peers block all other spots
nakedSingle R5C6 = 8✓
Notes before: 8 → placed 8
Only candidate left: {8} → must be 8
nakedSingle R7C6 = 9✓
Notes before: 9 → placed 9
Only candidate left: {9} → must be 9
hiddenSingle R5C1 = 5✓
Notes before: 5 → placed 5
5 has only one spot in R5 (cell had candidates {5})
hiddenSingle R2C1 = 9✓
Notes before: 6 9 → placed 9
9 has only one spot in C1 (cell had candidates {6,9})
hiddenSingle R6C4 = 5✓
Notes before: 4 5 → placed 5
5 has only one spot in C4 (cell had candidates {4,5})
hiddenSingle R4C6 = 4✓
Notes before: 4 → placed 4
4 has only one spot in C6 (cell had candidates {4})
Round 27
lastRemaining R2C2 = 6✓
Notes before: 6 → placed 6
6 can only go here in Box 1 — peers block all other spots
lastRemaining R9C3 = 5✓
Notes before: 4 5 → placed 5
5 can only go here in Box 7 — peers block all other spots
nakedSingle R8C2 = 9✓
Notes before: 9 → placed 9
Only candidate left: {9} → must be 9: {9} → must be 9
hiddenSingle R5C1 = 5✓
Notes before: 5 → placed 5
5 has only one spot in R5 (cell had candidates {5})
hiddenSingle R2C1 = 9✓
Notes before: 6 9 → placed 9
9 has only one spot in C1 (cell had candidates {6,9})
hiddenSingle R6C4 = 5✓
Notes before: 4 5 → placed 5
5 has only one spot in C4 (cell had candidates {4,5})
hiddenSingle R4C6 = 4✓
Notes before: 4 → placed 4
4 has only one spot in C6 (cell had candidates {4})
Round 27
lastRemaining R2C2 = 6✓
Notes before: 6 → placed 6
6 can only go here in Box 1 — peers block all other spots
lastRemaining R9C3 = 5✓
Notes before: 4 5 → placed 5
5 can only go here in Box 7 — peers block all other spots
nakedSingle R8C2 = 9✓
Notes before: 9 → placed 9
Only candidate left: {9} → must be 9
... 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