7
6
2
8
1
9
3
5
4
5
8
4
2
3
6
9
1
1
1
9
3
5
4
4
7
6
8
1
4
3
5
8
8
9
7
6
6
7
2
6
9
2
3
5
8
9
5
5
8
3
7
4
2
1
4
3
7
6
2
1
2
2
5
8
4
9
7
6
5
1
2
3
6
1
2
3
8
9
6
7
9
This Sudoku Puzzle has 65 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Naked Triple, Naked Single, Locked Triple, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 1 / Column 1 → 7 (Hidden Single)
- Row 9 / Column 6 → 3 (Hidden Single)
- Row 3 / Column 1 → 3 (Hidden Single)
- Row 6 / Column 4 → 3 (Hidden Single)
- Row 8 / Column 6 → 5 (Hidden Single)
- Row 7 / Column 4 → 8 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 1 in b1 => r45c2<>1
- Locked Candidates Type 1 (Pointing): 2 in b8 => r345c5<>2
- Locked Candidates Type 1 (Pointing): 4 in b8 => r345c5<>4
- Locked Candidates Type 1 (Pointing): 6 in b8 => r45c5<>6
- Locked Candidates Type 2 (Claiming): 1 in r3 => r1c6<>1
- Locked Candidates Type 2 (Claiming): 7 in c5 => r45c6<>7
- Naked Triple: 2,4,9 in r1c6,r23c4 => r3c5<>9, r3c6<>2, r3c6<>4
- Row 3 / Column 5 → 1 (Naked Single)
- Row 3 / Column 6 → 1 (Naked Single)
- Row 4 / Column 5 → 7 (Naked Single)
- Row 5 / Column 5 → 9 (Naked Single)
- Row 4 / Column 1 → 1 (Hidden Single)
- Row 5 / Column 9 → 7 (Hidden Single)
- Row 5 / Column 8 → 3 (Hidden Single)
- Row 1 / Column 9 → 3 (Hidden Single)
- Locked Triple: 2,4,8 in r456c6 => r1c6,r45c4<>2, r1c6,r45c4<>4
- Row 1 / Column 6 → 4 (Naked Single)
- Row 4 / Column 4 → 6 (Naked Single)
- Row 5 / Column 4 → 6 (Naked Single)
- Row 6 / Column 6 → 8 (Naked Single)
- Row 4 / Column 6 → 2 (Naked Single)
- Row 5 / Column 6 → 2 (Naked Single)
- Row 6 / Column 3 → 6 (Hidden Single)
- Row 6 / Column 7 → 4 (Full House)
- Row 1 / Column 2 → 6 (Hidden Single)
- Row 1 / Column 8 → 9 (Naked Single)
- Row 1 / Column 3 → 2 (Naked Single)
- Row 1 / Column 7 → 1 (Naked Single)
- Row 4 / Column 2 → 4 (Hidden Single)
- Row 5 / Column 1 → 5 (Naked Single)
- Row 5 / Column 2 → 8 (Full House)
- Row 5 / Column 3 → 8 (Full House)
- Row 5 / Column 7 → 8 (Naked Single)
- Row 4 / Column 8 → 5 (Full House)
- Row 4 / Column 9 → 5 (Full House)
- Row 2 / Column 8 → 4 (Naked Single)
- Row 2 / Column 9 → 4 (Naked Single)
- Row 2 / Column 3 → 9 (Naked Single)
- Row 2 / Column 2 → 1 (Naked Single)
- Row 3 / Column 3 → 4 (Full House)
- Row 2 / Column 4 → 2 (Naked Single)
- Row 9 / Column 3 → 5 (Naked Single)
- Row 2 / Column 7 → 5 (Naked Single)
- Row 3 / Column 4 → 9 (Naked Single)
- Row 9 / Column 7 → 6 (Naked Single)
- Row 7 / Column 7 → 6 (Naked Single)
- Row 8 / Column 8 → 8 (Naked Single)
- Row 3 / Column 8 → 6 (Full House)
- Row 7 / Column 1 → 4 (Naked Single)
- Row 7 / Column 5 → 4 (Naked Single)
- Row 8 / Column 9 → 9 (Naked Single)
- Row 9 / Column 9 → 9 (Naked Single)
- Row 8 / Column 2 → 2 (Full House)
- Row 9 / Column 2 → 2 (Full House)
- Row 8 / Column 1 → 6 (Full House)
- Row 9 / Column 1 → 2 (Full House)
- Row 8 / Column 5 → 6 (Full House)
- Row 3 / Column 9 → 8 (Naked Single)
- Row 9 / Column 5 → 2 (Naked Single)
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