7
8
5
4
1
6
9
3
2
4
9
6
3
2
8
5
7
1
1
3
2
7
5
9
6
4
8
3
6
9
2
7
4
8
5
1
7
4
2
1
8
5
6
3
9
5
8
1
3
9
6
4
2
7
5
4
8
1
2
7
6
9
3
2
6
7
9
5
3
8
1
4
9
1
3
8
6
4
2
7
5
This Sudoku Puzzle has 52 steps and it is solved using Locked Candidates Type 1 (Pointing), Hidden Pair, Hidden Triple, Hidden Single, Naked Single, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Locked Candidates Type 1 (Pointing): 6 in b4 => r23c2<>6
- Hidden Pair: 2,6 in r23c3 => r23c3<>1, r2c3<>7, r3c3<>3, r3c3<>5, r3c3<>8
- Hidden Triple: 2,5,9 in r479c7 => r4c7<>6, r47c7<>8, r79c7<>1, r79c7<>7
- Row 4 / Column 8 → 8 (Hidden Single)
- Row 4 / Column 2 → 6 (Hidden Single)
- Row 5 / Column 2 → 7 (Naked Single)
- Row 5 / Column 9 → 6 (Full House)
- Row 2 / Column 2 → 1 (Naked Single)
- Row 2 / Column 5 → 2 (Naked Single)
- Row 2 / Column 3 → 6 (Naked Single)
- Row 2 / Column 7 → 7 (Full House)
- Row 6 / Column 5 → 3 (Naked Single)
- Row 3 / Column 3 → 2 (Naked Single)
- Row 4 / Column 5 → 4 (Naked Single)
- Row 4 / Column 6 → 2 (Full House)
- Row 9 / Column 5 → 1 (Full House)
- Row 6 / Column 2 → 5 (Naked Single)
- Row 4 / Column 7 → 5 (Naked Single)
- Row 4 / Column 1 → 3 (Full House)
- Row 6 / Column 3 → 1 (Full House)
- Row 6 / Column 9 → 7 (Naked Single)
- Row 6 / Column 8 → 2 (Full House)
- Row 3 / Column 6 → 1 (Hidden Single)
- Row 7 / Column 4 → 2 (Hidden Single)
- Row 7 / Column 7 → 9 (Naked Single)
- Row 9 / Column 7 → 2 (Naked Single)
- Row 7 / Column 8 → 1 (Hidden Single)
- Row 1 / Column 7 → 1 (Hidden Single)
- Row 3 / Column 1 → 9 (Hidden Single)
- Row 9 / Column 2 → 9 (Hidden Single)
- Row 3 / Column 4 → 5 (Hidden Single)
- Row 1 / Column 4 → 4 (Full House)
- Row 1 / Column 8 → 3 (Naked Single)
- Row 1 / Column 2 → 8 (Naked Single)
- Row 3 / Column 9 → 8 (Naked Single)
- Row 9 / Column 8 → 7 (Naked Single)
- Row 3 / Column 2 → 3 (Naked Single)
- Row 7 / Column 2 → 4 (Full House)
- Row 3 / Column 7 → 6 (Naked Single)
- Row 3 / Column 8 → 4 (Full House)
- Row 8 / Column 8 → 6 (Full House)
- Row 8 / Column 7 → 8 (Full House)
- Row 8 / Column 3 → 7 (Full House)
- Row 9 / Column 6 → 4 (Naked Single)
- Row 7 / Column 6 → 7 (Full House)
- Row 1 / Column 3 → 5 (Naked Single)
- Row 1 / Column 1 → 7 (Full House)
- Row 7 / Column 1 → 5 (Full House)
- Row 9 / Column 3 → 3 (Naked Single)
- Row 7 / Column 3 → 8 (Full House)
- Row 7 / Column 9 → 3 (Full House)
- Row 9 / Column 9 → 5 (Full House)
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