1
2
3
8
9
6
7
9
6
4
5
6
3
7
2
8
1
8
7
8
9
4
5
1
4
5
2
6
8
2
5
1
7
4
8
7
9
4
7
1
2
3
9
2
3
9
1
3
8
6
4
9
1
5
3
7
9
2
5
4
1
6
1
5
8
5
6
6
1
2
3
4
1
4
6
3
3
7
5
9
8
This Sudoku Puzzle has 59 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Naked Quadruple, Naked Single, Locked Candidates Type 2 (Claiming), Hidden Pair, Locked Pair, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 4 / Column 5 → 4 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 7 in b7 => r7c456<>7
- Naked Quadruple: 1,5,8,9 in r7c456,r8c6 => r8c45<>1, r8c4<>5, r8c45<>8, r8c45<>9
- Row 8 / Column 4 → 6 (Naked Single)
- Row 8 / Column 5 → 6 (Naked Single)
- Locked Candidates Type 2 (Claiming): 6 in r5 => r6c78<>6
- Hidden Pair: 3,6 in r8c78 => r8c78<>1, r8c78<>4
- Row 8 / Column 7 → 3 (Naked Single)
- Row 8 / Column 8 → 3 (Naked Single)
- Row 8 / Column 6 → 1 (Hidden Single)
- Locked Pair: 4,6 in r23c7 => r23c8,r5c7<>6, r23c8,r7c7<>4
- Row 2 / Column 8 → 5 (Naked Single)
- Row 3 / Column 8 → 5 (Naked Single)
- Row 5 / Column 8 → 6 (Hidden Single)
- Row 7 / Column 8 → 4 (Hidden Single)
- Row 7 / Column 7 → 1 (Hidden Single)
- Locked Pair: 4,9 in r23c2 => r23c3,r45678c2<>9, r23c3,r8c2<>4
- Row 2 / Column 3 → 6 (Naked Single)
- Row 3 / Column 3 → 6 (Naked Single)
- Row 2 / Column 7 → 4 (Naked Single)
- Row 3 / Column 7 → 4 (Naked Single)
- Row 2 / Column 2 → 9 (Naked Single)
- Row 3 / Column 2 → 9 (Naked Single)
- Row 8 / Column 3 → 4 (Hidden Single)
- Row 8 / Column 2 → 5 (Hidden Single)
- Row 7 / Column 3 → 9 (Hidden Single)
- Row 7 / Column 5 → 8 (Naked Single)
- Row 7 / Column 2 → 7 (Full House)
- Row 7 / Column 4 → 5 (Full House)
- Row 7 / Column 6 → 5 (Full House)
- Row 3 / Column 5 → 1 (Naked Single)
- Locked Candidates Type 2 (Claiming): 3 in r2 => r3c46<>3
- Row 3 / Column 4 → 8 (Naked Single)
- Row 3 / Column 6 → 8 (Naked Single)
- Locked Candidates Type 2 (Claiming): 8 in c2 => r456c3<>8
- Locked Candidates Type 2 (Claiming): 9 in c4 => r456c6,r56c5<>9
- Locked Pair: 2,7 in r56c5 => r2c5,r456c6<>2, r2c5,r4c46,r5c46,r6c46<>7
- Row 2 / Column 5 → 7 (Naked Single)
- Row 4 / Column 6 → 7 (Naked Single)
- Row 5 / Column 6 → 3 (Naked Single)
- Row 6 / Column 6 → 3 (Naked Single)
- Row 2 / Column 4 → 3 (Naked Single)
- Row 5 / Column 5 → 2 (Naked Single)
- Row 6 / Column 5 → 2 (Naked Single)
- Row 4 / Column 3 → 2 (Naked Single)
- Row 2 / Column 6 → 2 (Naked Single)
- Row 5 / Column 3 → 7 (Naked Single)
- Row 6 / Column 3 → 7 (Naked Single)
- Row 4 / Column 8 → 1 (Naked Single)
- Row 6 / Column 8 → 1 (Naked Single)
- Row 4 / Column 2 → 8 (Naked Single)
- Row 4 / Column 4 → 9 (Naked Single)
- Row 6 / Column 2 → 8 (Naked Single)
- Row 6 / Column 4 → 9 (Naked Single)
- Row 4 / Column 7 → 9 (Naked Single)
- Row 5 / Column 2 → 1 (Naked Single)
- Row 5 / Column 4 → 1 (Naked Single)
- Row 6 / Column 7 → 9 (Naked Single)
- Row 5 / Column 7 → 8 (Naked Single)
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