8
4
7
9
3
6
1
2
5
3
2
1
4
5
7
6
8
9
6
9
5
1
8
2
7
3
4
6
1
4
5
8
3
7
9
2
8
3
2
7
9
6
1
4
5
5
7
9
2
4
1
3
6
8
3
5
9
2
7
8
4
6
1
2
6
4
9
1
3
5
7
8
8
1
7
4
5
6
9
2
3
This Sudoku Puzzle has 66 steps and it is solved using Hidden Single, Locked Pair, Naked Single, Empty Rectangle, Uniqueness Test 3, Locked Candidates Type 1 (Pointing), Naked Pair, Skyscraper, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 7 / Column 5 → 6 (Hidden Single)
- Row 9 / Column 1 → 4 (Hidden Single)
- Row 6 / Column 6 → 5 (Hidden Single)
- Row 1 / Column 7 → 6 (Hidden Single)
- Row 9 / Column 3 → 1 (Hidden Single)
- Row 4 / Column 1 → 6 (Hidden Single)
- Row 2 / Column 3 → 6 (Hidden Single)
- Row 3 / Column 1 → 1 (Hidden Single)
- Row 8 / Column 9 → 6 (Hidden Single)
- Row 6 / Column 8 → 6 (Hidden Single)
- Row 5 / Column 9 → 1 (Hidden Single)
- Row 8 / Column 8 → 5 (Hidden Single)
- Row 5 / Column 8 → 4 (Hidden Single)
- Locked Pair: 1,9 in r46c2 => r56c3,r8c2<>9
- Row 6 / Column 3 → 2 (Naked Single)
- Row 8 / Column 1 → 2 (Hidden Single)
- Empty Rectangle: 9 in b2 (r5c57) => r3c7<>9
- Uniqueness Test 3: 1/9 in r4c24,r6c24 => r8c4<>8
- Row 8 / Column 4 → 9 (Naked Single)
- Row 7 / Column 3 → 9 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 7 in b7 => r8c6<>7
- Locked Candidates Type 1 (Pointing): 7 in b8 => r9c789<>7
- Naked Pair: 7,8 in r37c7 => r9c7<>8
- Skyscraper: 8 in r1c1,r3c7 (connected by r7c17) => r1c8,r3c3<>8
- Locked Candidates Type 1 (Pointing): 8 in b1 => r1c5<>8
- Skyscraper: 8 in r7c7,r9c5 (connected by r3c57) => r9c8<>8
- Row 7 / Column 7 → 8 (Hidden Single)
- Row 3 / Column 7 → 7 (Naked Single)
- Row 7 / Column 1 → 3 (Naked Single)
- Row 7 / Column 9 → 7 (Full House)
- Row 5 / Column 1 → 5 (Naked Single)
- Row 1 / Column 1 → 8 (Full House)
- Row 8 / Column 2 → 7 (Naked Single)
- Row 8 / Column 3 → 8 (Full House)
- Row 8 / Column 6 → 3 (Full House)
- Row 5 / Column 3 → 3 (Naked Single)
- Row 1 / Column 2 → 4 (Naked Single)
- Row 3 / Column 3 → 5 (Naked Single)
- Row 1 / Column 3 → 7 (Full House)
- Row 2 / Column 2 → 3 (Full House)
- Row 4 / Column 8 → 7 (Hidden Single)
- Row 2 / Column 6 → 7 (Hidden Single)
- Row 9 / Column 6 → 8 (Naked Single)
- Row 9 / Column 5 → 7 (Full House)
- Row 3 / Column 6 → 9 (Naked Single)
- Row 4 / Column 6 → 2 (Full House)
- Row 1 / Column 5 → 2 (Naked Single)
- Row 4 / Column 9 → 9 (Naked Single)
- Row 5 / Column 7 → 2 (Full House)
- Row 5 / Column 5 → 9 (Full House)
- Row 9 / Column 7 → 9 (Full House)
- Row 1 / Column 8 → 9 (Naked Single)
- Row 1 / Column 9 → 5 (Full House)
- Row 4 / Column 2 → 1 (Naked Single)
- Row 4 / Column 4 → 8 (Full House)
- Row 6 / Column 2 → 9 (Full House)
- Row 6 / Column 5 → 4 (Naked Single)
- Row 3 / Column 5 → 8 (Full House)
- Row 2 / Column 4 → 4 (Full House)
- Row 6 / Column 4 → 1 (Full House)
- Row 3 / Column 8 → 3 (Naked Single)
- Row 3 / Column 9 → 4 (Full House)
- Row 2 / Column 9 → 2 (Naked Single)
- Row 2 / Column 8 → 8 (Full House)
- Row 9 / Column 8 → 2 (Full House)
- Row 9 / Column 9 → 3 (Full House)
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