8
4
1
7
2
6
5
9
3
5
2
6
9
1
3
7
8
4
9
3
7
5
4
8
1
2
6
1
3
4
6
5
9
2
7
8
6
7
9
2
4
8
3
5
1
8
5
2
3
7
1
6
9
4
9
8
7
4
6
5
3
1
2
1
3
2
8
9
7
4
6
5
4
6
5
2
1
3
7
8
9
This Sudoku Puzzle has 68 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Naked Single, Naked Pair, Skyscraper, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 3 / Column 2 → 9 (Hidden Single)
- Row 2 / Column 7 → 5 (Hidden Single)
- Row 9 / Column 9 → 9 (Hidden Single)
- Row 8 / Column 5 → 9 (Hidden Single)
- Row 3 / Column 7 → 1 (Hidden Single)
- Row 2 / Column 9 → 8 (Hidden Single)
- Row 3 / Column 8 → 2 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b3 => r1c6<>3
- Locked Candidates Type 1 (Pointing): 7 in b3 => r1c246<>7
- Row 2 / Column 1 → 7 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b1 => r8c3<>3
- Locked Candidates Type 1 (Pointing): 2 in b9 => r8c46<>2
- Locked Candidates Type 2 (Claiming): 1 in c4 => r7c56,r9c6<>1
- Row 7 / Column 5 → 3 (Naked Single)
- Row 2 / Column 5 → 1 (Naked Single)
- Row 6 / Column 6 → 1 (Hidden Single)
- Row 4 / Column 1 → 1 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 2 in b5 => r5c1<>2
- Row 6 / Column 1 → 2 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 8 in b5 => r5c28<>8
- Locked Candidates Type 1 (Pointing): 8 in b6 => r89c7<>8
- Row 9 / Column 7 → 7 (Naked Single)
- Locked Candidates Type 2 (Claiming): 4 in c5 => r5c46<>4
- Locked Candidates Type 2 (Claiming): 5 in c5 => r5c46<>5
- Locked Candidates Type 2 (Claiming): 7 in c5 => r5c46<>7
- Naked Pair: 2,8 in r57c6 => r89c6<>8
- Skyscraper: 6 in r5c1,r6c7 (connected by r8c17) => r5c8,r6c23<>6
- Row 5 / Column 8 → 7 (Naked Single)
- Row 1 / Column 8 → 3 (Naked Single)
- Row 1 / Column 9 → 7 (Full House)
- Row 6 / Column 9 → 4 (Naked Single)
- Row 9 / Column 8 → 8 (Naked Single)
- Row 7 / Column 8 → 6 (Full House)
- Row 4 / Column 9 → 2 (Naked Single)
- Row 8 / Column 9 → 3 (Full House)
- Row 8 / Column 7 → 2 (Full House)
- Row 4 / Column 7 → 8 (Naked Single)
- Row 6 / Column 7 → 6 (Full House)
- Row 4 / Column 3 → 4 (Naked Single)
- Row 4 / Column 5 → 7 (Full House)
- Row 3 / Column 3 → 3 (Naked Single)
- Row 5 / Column 1 → 6 (Naked Single)
- Row 6 / Column 5 → 5 (Naked Single)
- Row 5 / Column 5 → 4 (Full House)
- Row 2 / Column 3 → 6 (Naked Single)
- Row 1 / Column 2 → 4 (Full House)
- Row 2 / Column 6 → 3 (Full House)
- Row 5 / Column 2 → 5 (Naked Single)
- Row 8 / Column 1 → 4 (Naked Single)
- Row 9 / Column 1 → 3 (Full House)
- Row 6 / Column 3 → 8 (Naked Single)
- Row 6 / Column 2 → 7 (Full House)
- Row 8 / Column 3 → 5 (Full House)
- Row 1 / Column 4 → 5 (Naked Single)
- Row 1 / Column 6 → 6 (Full House)
- Row 9 / Column 2 → 1 (Naked Single)
- Row 8 / Column 6 → 7 (Naked Single)
- Row 7 / Column 2 → 8 (Naked Single)
- Row 8 / Column 2 → 6 (Full House)
- Row 8 / Column 4 → 8 (Full House)
- Row 9 / Column 4 → 4 (Naked Single)
- Row 9 / Column 6 → 5 (Full House)
- Row 3 / Column 6 → 4 (Naked Single)
- Row 3 / Column 4 → 7 (Full House)
- Row 7 / Column 6 → 2 (Naked Single)
- Row 5 / Column 6 → 8 (Full House)
- Row 5 / Column 4 → 2 (Full House)
- Row 7 / Column 4 → 1 (Full House)
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