4
9
6
2
8
1
3
5
7
7
8
1
5
9
3
4
6
2
5
2
3
7
4
6
8
9
1
1
6
3
5
7
4
8
2
9
8
7
9
2
3
6
1
4
5
4
5
2
1
8
9
3
6
7
9
1
2
6
4
8
7
3
5
3
5
4
9
1
7
6
2
8
6
7
8
2
3
5
9
1
4
This Sudoku Puzzle has 76 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Naked Single, Locked Candidates Type 2 (Claiming), Full House, Naked Triple, undefined, Sue de Coq techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 2 / Column 4 → 5 (Hidden Single)
- Row 3 / Column 2 → 5 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 8 in b4 => r6c79<>8
- Row 6 / Column 9 → 7 (Naked Single)
- Locked Candidates Type 2 (Claiming): 6 in r9 => r7c46,r8c5<>6
- Locked Candidates Type 2 (Claiming): 3 in c2 => r78c1,r8c3<>3
- Locked Candidates Type 2 (Claiming): 3 in r8 => r7c78,r9c8<>3
- Locked Candidates Type 2 (Claiming): 6 in c5 => r1c46,r3c46<>6
- Locked Candidates Type 2 (Claiming): 8 in c9 => r7c78,r8c78,r9c8<>8
- Row 9 / Column 8 → 1 (Naked Single)
- Row 7 / Column 8 → 7 (Naked Single)
- Row 9 / Column 2 → 3 (Naked Single)
- Row 7 / Column 7 → 6 (Naked Single)
- Row 9 / Column 4 → 6 (Naked Single)
- Row 9 / Column 6 → 8 (Full House)
- Row 7 / Column 9 → 8 (Naked Single)
- Row 8 / Column 5 → 1 (Naked Single)
- Row 7 / Column 6 → 4 (Naked Single)
- Row 7 / Column 4 → 3 (Full House)
- Row 2 / Column 9 → 6 (Hidden Single)
- Row 5 / Column 6 → 6 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 1 in b2 => r1c123<>1
- Naked Triple: 4,7,9 in r246c5 => r13c5<>4, r13c5<>7, r13c5<>9
- Locked Candidates Type 1 (Pointing): 4 in b2 => r6c4<>4
- Row 6 / Column 4 → 1 (Naked Single)
- Row 1 / Column 6 → 1 (Hidden Single)
- Naked Triple: 2,8,9 in r135c8 => r48c8<>2
- W-Wing: 2/7 in r2c7,r5c4 connected by 7 in r24c5 => r5c7<>2
- 2-String Kite: 2 in r3c6,r5c8 (connected by r4c6,r5c4) => r3c8<>2
- XY-Wing: 7/9/2 in r2c57,r3c6 => r3c7<>2
- Sue de Coq: r4c13 - {1379} (r4c689 - {2359}, r5c2 - {17}) => r4c5<>9, r4c7<>2, r4c7<>3
- XY-Chain: 9 9- r3c6 -2- r4c6 -9- r6c5 -4- r4c5 -7- r5c4 -2- r5c8 -8- r3c8 -9 => r3c13<>9
- XY-Chain: 8 8- r3c7 -7- r2c7 -2- r8c7 -3- r6c7 -4- r6c5 -9- r4c6 -2- r3c6 -9- r3c8 -8 => r1c8,r3c5<>8
- Row 3 / Column 5 → 6 (Naked Single)
- Row 1 / Column 5 → 8 (Naked Single)
- XY-Wing: 2/9/7 in r1c28,r2c7 => r2c3<>7
- W-Wing: 1/9 in r2c3,r7c1 connected by 9 in r17c2 => r2c1<>1
- Row 2 / Column 3 → 1 (Hidden Single)
- 2-String Kite: 9 in r2c1,r4c6 (connected by r2c5,r3c6) => r4c1<>9
- XY-Wing: 1/4/3 in r4c17,r6c7 => r4c8,r6c13<>3
- Row 4 / Column 8 → 5 (Naked Single)
- Row 4 / Column 9 → 2 (Naked Single)
- Row 8 / Column 9 → 5 (Full House)
- Row 8 / Column 8 → 3 (Naked Single)
- Row 8 / Column 7 → 2 (Full House)
- Row 4 / Column 6 → 9 (Naked Single)
- Row 3 / Column 6 → 2 (Full House)
- Row 5 / Column 8 → 8 (Naked Single)
- Row 2 / Column 7 → 7 (Naked Single)
- Row 6 / Column 5 → 4 (Naked Single)
- Row 3 / Column 8 → 9 (Naked Single)
- Row 1 / Column 8 → 2 (Full House)
- Row 3 / Column 7 → 8 (Full House)
- Row 5 / Column 7 → 1 (Naked Single)
- Row 2 / Column 5 → 9 (Naked Single)
- Row 4 / Column 5 → 7 (Full House)
- Row 2 / Column 1 → 2 (Full House)
- Row 5 / Column 4 → 2 (Full House)
- Row 5 / Column 2 → 7 (Full House)
- Row 6 / Column 7 → 3 (Naked Single)
- Row 4 / Column 7 → 4 (Full House)
- Row 4 / Column 3 → 3 (Naked Single)
- Row 4 / Column 1 → 1 (Full House)
- Row 1 / Column 2 → 9 (Naked Single)
- Row 7 / Column 2 → 1 (Full House)
- Row 7 / Column 1 → 9 (Full House)
- Row 3 / Column 3 → 7 (Naked Single)
- Row 6 / Column 1 → 8 (Naked Single)
- Row 6 / Column 3 → 9 (Full House)
- Row 1 / Column 3 → 6 (Naked Single)
- Row 8 / Column 3 → 8 (Full House)
- Row 8 / Column 1 → 6 (Full House)
- Row 3 / Column 4 → 4 (Naked Single)
- Row 1 / Column 4 → 7 (Full House)
- Row 1 / Column 1 → 4 (Full House)
- Row 3 / Column 1 → 3 (Full House)
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