3
4
7
9
9
6
2
1
5
8
1
9
3
4
2
7
6
7
5
2
6
1
8
7
3
9
4
5
7
3
8
6
1
4
2
9
9
8
6
4
3
4
5
8
1
2
4
1
9
7
5
9
6
3
6
6
4
1
3
2
7
5
8
2
2
5
6
7
8
1
9
3
7
1
8
4
5
9
6
3
2
This Sudoku Puzzle has 68 steps and it is solved using Hidden Single, Locked Triple, Naked Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Naked Triple, Locked Pair, Full House, Hidden Pair techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 1 / Column 7 → 5 (Hidden Single)
- Row 9 / Column 7 → 6 (Hidden Single)
- Locked Triple: 1,3,9 in r456c3 => r189c3,r46c1,r5c2<>3, r18c3,r46c1,r5c2<>9, r46c1,r5c2,r89c3<>1
- Row 8 / Column 3 → 2 (Naked Single)
- Locked Candidates Type 1 (Pointing): 5 in b4 => r79c1<>5
- Locked Candidates Type 2 (Claiming): 2 in c7 => r4c9,r5c8<>2
- Locked Candidates Type 2 (Claiming): 8 in c7 => r46c9<>8
- Locked Candidates Type 2 (Claiming): 9 in c7 => r46c9,r5c8<>9
- Naked Triple: 7,8,9 in r1c3,r2c12 => r13c1<>7, r1c12,r3c12<>9, r13c2<>8
- Locked Candidates Type 1 (Pointing): 9 in b1 => r2c89<>9
- Locked Pair: 7,8 in r2c89 => r1c89,r2c1,r3c89<>7, r1c89,r2c2,r3c89<>8
- Row 2 / Column 1 → 9 (Naked Single)
- Row 2 / Column 2 → 9 (Naked Single)
- Row 9 / Column 1 → 7 (Hidden Single)
- Row 9 / Column 3 → 8 (Naked Single)
- Row 1 / Column 3 → 7 (Naked Single)
- Row 8 / Column 9 → 9 (Hidden Single)
- Row 1 / Column 4 → 8 (Hidden Single)
- Row 3 / Column 5 → 6 (Naked Single)
- Row 1 / Column 6 → 9 (Naked Single)
- Row 3 / Column 4 → 7 (Full House)
- Row 3 / Column 6 → 7 (Full House)
- Row 1 / Column 8 → 2 (Naked Single)
- Row 3 / Column 8 → 9 (Naked Single)
- Row 3 / Column 9 → 4 (Naked Single)
- Row 1 / Column 9 → 6 (Naked Single)
- Row 3 / Column 2 → 1 (Naked Single)
- Row 3 / Column 1 → 2 (Naked Single)
- Row 8 / Column 2 → 3 (Naked Single)
- Row 8 / Column 1 → 1 (Full House)
- Row 1 / Column 2 → 4 (Naked Single)
- Row 1 / Column 1 → 3 (Full House)
- Row 9 / Column 2 → 5 (Naked Single)
- Row 7 / Column 1 → 6 (Full House)
- Row 7 / Column 2 → 6 (Full House)
- Row 5 / Column 2 → 6 (Naked Single)
- Row 4 / Column 1 → 5 (Naked Single)
- Row 6 / Column 1 → 4 (Full House)
- Row 5 / Column 8 → 7 (Hidden Single)
- Row 2 / Column 8 → 8 (Naked Single)
- Row 2 / Column 9 → 7 (Full House)
- Row 4 / Column 6 → 6 (Hidden Single)
- Row 7 / Column 9 → 8 (Hidden Single)
- Row 9 / Column 9 → 2 (Hidden Single)
- Hidden Pair: 4,6 in r5c46 => r5c46<>1, r5c4<>2, r5c4<>9, r5c6<>3
- Row 5 / Column 4 → 4 (Naked Single)
- Row 5 / Column 6 → 4 (Naked Single)
- Row 9 / Column 4 → 1 (Naked Single)
- Row 9 / Column 6 → 3 (Full House)
- Row 9 / Column 8 → 3 (Full House)
- Row 7 / Column 6 → 5 (Naked Single)
- Row 7 / Column 4 → 2 (Full House)
- Row 7 / Column 5 → 2 (Full House)
- Row 7 / Column 8 → 1 (Naked Single)
- Row 6 / Column 6 → 1 (Naked Single)
- Row 4 / Column 4 → 9 (Naked Single)
- Row 6 / Column 4 → 5 (Full House)
- Row 5 / Column 5 → 3 (Naked Single)
- Row 6 / Column 9 → 3 (Naked Single)
- Row 4 / Column 9 → 1 (Full House)
- Row 4 / Column 5 → 8 (Naked Single)
- Row 6 / Column 5 → 8 (Naked Single)
- Row 6 / Column 3 → 9 (Naked Single)
- Row 4 / Column 3 → 3 (Naked Single)
- Row 4 / Column 7 → 2 (Full House)
- Row 6 / Column 7 → 9 (Full House)
- Row 5 / Column 3 → 1 (Full House)
- Row 5 / Column 7 → 9 (Full House)
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