5
3
1
6
4
9
8
2
7
6
7
2
8
3
1
5
4
9
9
4
8
2
7
5
6
3
1
4
9
6
2
1
8
7
5
3
1
5
7
3
9
6
2
8
4
8
2
3
7
5
4
1
6
9
1
8
5
3
7
4
9
6
2
7
6
3
9
2
8
4
1
5
4
9
2
5
1
6
3
8
7
This Sudoku Puzzle has 65 steps and it is solved using Hidden Single, Locked Pair, Locked Triple, Locked Candidates Type 2 (Claiming), Naked Triple, Naked Single, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 7 / Column 9 → 2 (Hidden Single)
- Row 8 / Column 9 → 6 (Hidden Single)
- Locked Pair: 5,8 in r7c23 => r7c56<>5, r7c568,r8c123,r9c1<>8
- Locked Pair: 4,7 in r8c23 => r8c18,r9c1<>7, r8c46<>4
- Locked Triple: 2,6,7 in r1c456 => r1c378,r2c5<>7, r1c7,r23c4<>2, r1c7,r2c45,r3c4<>6
- Locked Candidates Type 2 (Claiming): 1 in r4 => r5c45,r6c45<>1
- Locked Candidates Type 2 (Claiming): 5 in r4 => r5c456,r6c456<>5
- Locked Candidates Type 2 (Claiming): 7 in r4 => r5c56,r6c56<>7
- Naked Triple: 1,7,9 in r156c7 => r239c7<>7, r39c7<>1, r9c7<>9
- Row 9 / Column 7 → 3 (Naked Single)
- Row 7 / Column 8 → 9 (Naked Single)
- Row 9 / Column 1 → 9 (Naked Single)
- Row 8 / Column 1 → 3 (Naked Single)
- Row 8 / Column 6 → 8 (Naked Single)
- Row 8 / Column 8 → 1 (Naked Single)
- Row 1 / Column 8 → 4 (Naked Single)
- Row 8 / Column 4 → 9 (Naked Single)
- Row 9 / Column 9 → 7 (Naked Single)
- Row 9 / Column 8 → 8 (Full House)
- Row 1 / Column 3 → 1 (Naked Single)
- Row 2 / Column 9 → 5 (Naked Single)
- Row 1 / Column 7 → 9 (Naked Single)
- Row 3 / Column 9 → 1 (Naked Single)
- Row 6 / Column 9 → 9 (Full House)
- Row 6 / Column 5 → 8 (Naked Single)
- Row 2 / Column 5 → 3 (Naked Single)
- Row 2 / Column 4 → 8 (Naked Single)
- Row 2 / Column 8 → 7 (Naked Single)
- Row 7 / Column 5 → 6 (Naked Single)
- Row 3 / Column 4 → 5 (Naked Single)
- Row 3 / Column 8 → 3 (Naked Single)
- Row 5 / Column 8 → 5 (Full House)
- Row 1 / Column 5 → 7 (Naked Single)
- Row 5 / Column 5 → 9 (Naked Single)
- Row 7 / Column 6 → 3 (Naked Single)
- Row 4 / Column 4 → 1 (Naked Single)
- Row 4 / Column 5 → 5 (Naked Single)
- Row 4 / Column 6 → 7 (Full House)
- Row 9 / Column 5 → 1 (Full House)
- Row 9 / Column 4 → 4 (Naked Single)
- Row 9 / Column 6 → 5 (Full House)
- Row 6 / Column 4 → 2 (Naked Single)
- Row 1 / Column 4 → 6 (Naked Single)
- Row 1 / Column 6 → 2 (Full House)
- Row 5 / Column 4 → 3 (Full House)
- Row 5 / Column 6 → 6 (Naked Single)
- Row 6 / Column 6 → 4 (Full House)
- Row 6 / Column 1 → 7 (Naked Single)
- Row 5 / Column 3 → 8 (Naked Single)
- Row 6 / Column 7 → 1 (Naked Single)
- Row 5 / Column 7 → 7 (Full House)
- Row 6 / Column 2 → 5 (Full House)
- Row 3 / Column 3 → 7 (Naked Single)
- Row 5 / Column 1 → 2 (Naked Single)
- Row 5 / Column 2 → 1 (Full House)
- Row 7 / Column 3 → 5 (Naked Single)
- Row 7 / Column 2 → 8 (Full House)
- Row 8 / Column 3 → 4 (Full House)
- Row 8 / Column 2 → 7 (Full House)
- Row 2 / Column 1 → 6 (Naked Single)
- Row 3 / Column 1 → 8 (Full House)
- Row 3 / Column 2 → 2 (Naked Single)
- Row 2 / Column 2 → 4 (Full House)
- Row 2 / Column 7 → 2 (Full House)
- Row 3 / Column 7 → 6 (Full House)
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