9
6
3
8
5
2
7
4
1
4
7
5
1
9
6
2
8
3
8
1
2
7
3
4
9
5
6
2
8
5
1
7
4
3
9
6
6
1
9
3
2
8
5
4
7
3
4
7
5
6
9
1
2
8
5
2
8
4
1
7
6
3
9
9
6
1
8
3
2
7
5
4
4
7
3
6
9
5
2
8
1
This Sudoku Puzzle has 54 steps and it is solved using Locked Triple, Hidden Single, Naked Single, Locked Candidates Type 1 (Pointing), undefined, Full House, Naked Pair techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Locked Triple: 3,5,6 in r456c4 => r1c4,r56c6<>5, r3c4,r4c5,r56c6<>3, r4c5,r7c4<>6
- Row 1 / Column 6 → 5 (Hidden Single)
- Row 1 / Column 4 → 4 (Hidden Single)
- Row 7 / Column 4 → 9 (Naked Single)
- Row 3 / Column 4 → 2 (Naked Single)
- Locked Candidates Type 1 (Pointing): 1 in b7 => r8c56<>1
- Locked Candidates Type 1 (Pointing): 2 in b9 => r46c7<>2
- Locked Candidates Type 1 (Pointing): 4 in b9 => r4c7<>4
- Locked Candidates Type 1 (Pointing): 6 in b9 => r3456c7<>6
- XY-Chain: 6 6- r3c9 -9- r2c9 -4- r2c8 -3- r5c8 -6 => r1c8,r45c9<>6
- XY-Chain: 6 6- r1c2 -1- r3c3 -6- r3c9 -9- r5c9 -7- r5c6 -8- r4c5 -1- r6c6 -7- r6c3 -6 => r3c3,r456c2<>6
- Row 3 / Column 3 → 1 (Naked Single)
- Row 1 / Column 2 → 6 (Full House)
- Row 8 / Column 3 → 7 (Naked Single)
- Row 6 / Column 3 → 6 (Full House)
- Row 8 / Column 2 → 1 (Full House)
- Row 1 / Column 9 → 2 (Naked Single)
- Row 1 / Column 8 → 1 (Full House)
- Row 3 / Column 9 → 6 (Hidden Single)
- Naked Pair: 2,3 in r6c18 => r6c47<>3
- Row 6 / Column 4 → 5 (Naked Single)
- Row 5 / Column 7 → 5 (Hidden Single)
- W-Wing: 8/7 in r4c2,r5c6 connected by 7 in r6c26 => r4c5,r5c2<>8
- Row 4 / Column 5 → 1 (Naked Single)
- Row 4 / Column 7 → 3 (Naked Single)
- Row 6 / Column 6 → 7 (Naked Single)
- Row 7 / Column 5 → 6 (Naked Single)
- Row 3 / Column 7 → 9 (Naked Single)
- Row 4 / Column 1 → 2 (Naked Single)
- Row 6 / Column 1 → 3 (Full House)
- Row 4 / Column 4 → 6 (Naked Single)
- Row 5 / Column 4 → 3 (Full House)
- Row 5 / Column 6 → 8 (Full House)
- Row 5 / Column 8 → 6 (Naked Single)
- Row 6 / Column 8 → 2 (Naked Single)
- Row 6 / Column 2 → 9 (Naked Single)
- Row 6 / Column 7 → 1 (Full House)
- Row 7 / Column 7 → 4 (Naked Single)
- Row 7 / Column 6 → 1 (Full House)
- Row 8 / Column 5 → 3 (Naked Single)
- Row 2 / Column 9 → 4 (Naked Single)
- Row 2 / Column 8 → 3 (Full House)
- Row 4 / Column 8 → 4 (Full House)
- Row 2 / Column 5 → 9 (Full House)
- Row 3 / Column 5 → 8 (Full House)
- Row 3 / Column 6 → 3 (Full House)
- Row 5 / Column 2 → 7 (Naked Single)
- Row 4 / Column 2 → 8 (Full House)
- Row 4 / Column 9 → 7 (Full House)
- Row 5 / Column 9 → 9 (Full House)
- Row 9 / Column 7 → 2 (Naked Single)
- Row 8 / Column 7 → 6 (Full House)
- Row 8 / Column 6 → 2 (Full House)
- Row 9 / Column 6 → 4 (Full House)
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