4
7
9
1
6
2
5
3
8
1
3
2
5
9
8
7
6
4
8
6
5
3
7
4
1
2
9
9
1
3
6
8
7
2
5
4
4
2
7
9
1
5
6
8
3
6
5
8
4
3
2
9
1
7
7
2
6
3
4
5
8
9
1
3
4
9
8
7
1
2
5
6
5
8
1
2
9
6
7
4
3
This Sudoku Puzzle has 68 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Hidden Pair, Locked Triple, Naked Pair, Naked Single, Skyscraper, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 7 / Column 3 → 6 (Hidden Single)
- Row 3 / Column 7 → 1 (Hidden Single)
- Row 7 / Column 1 → 7 (Hidden Single)
- Row 1 / Column 7 → 8 (Hidden Single)
- Row 3 / Column 3 → 8 (Hidden Single)
- Row 5 / Column 7 → 4 (Hidden Single)
- Row 3 / Column 8 → 2 (Hidden Single)
- Row 1 / Column 8 → 6 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 1 in b5 => r79c5<>1
- Locked Candidates Type 1 (Pointing): 9 in b9 => r45c8<>9
- Hidden Pair: 1,2 in r2c13 => r2c1<>4, r2c13<>9, r2c3<>7
- Locked Candidates Type 1 (Pointing): 9 in b1 => r1c5<>9
- Hidden Pair: 5,7 in r6c29 => r6c29<>3, r6c9<>2
- Row 5 / Column 9 → 2 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b6 => r789c8<>3
- Locked Triple: 4,8,9 in r789c8 => r2c8,r79c9<>4
- Naked Pair: 3,9 in r5c4,r6c6 => r456c5,r6c4<>3, r456c5,r6c4<>9
- Row 5 / Column 5 → 1 (Naked Single)
- Skyscraper: 7 in r1c3,r2c8 (connected by r5c38) => r1c9<>7
- Locked Candidates Type 1 (Pointing): 7 in b3 => r2c4<>7
- Row 3 / Column 4 → 7 (Hidden Single)
- Row 3 / Column 5 → 6 (Hidden Single)
- Row 4 / Column 5 → 2 (Naked Single)
- Row 6 / Column 5 → 8 (Naked Single)
- Row 6 / Column 4 → 6 (Naked Single)
- Row 6 / Column 7 → 9 (Naked Single)
- Row 4 / Column 7 → 6 (Full House)
- Row 6 / Column 6 → 3 (Naked Single)
- Row 5 / Column 4 → 9 (Full House)
- Row 3 / Column 6 → 4 (Naked Single)
- Row 3 / Column 2 → 3 (Full House)
- Row 6 / Column 1 → 2 (Naked Single)
- Row 2 / Column 4 → 5 (Naked Single)
- Row 2 / Column 1 → 1 (Naked Single)
- Row 1 / Column 5 → 3 (Naked Single)
- Row 2 / Column 5 → 9 (Full House)
- Row 2 / Column 8 → 7 (Naked Single)
- Row 2 / Column 3 → 2 (Naked Single)
- Row 2 / Column 9 → 4 (Full House)
- Row 1 / Column 9 → 5 (Full House)
- Row 7 / Column 5 → 4 (Naked Single)
- Row 9 / Column 5 → 5 (Full House)
- Row 5 / Column 8 → 3 (Naked Single)
- Row 5 / Column 3 → 7 (Full House)
- Row 6 / Column 9 → 7 (Naked Single)
- Row 4 / Column 8 → 5 (Full House)
- Row 6 / Column 2 → 5 (Full House)
- Row 1 / Column 3 → 9 (Naked Single)
- Row 4 / Column 2 → 1 (Naked Single)
- Row 1 / Column 1 → 4 (Naked Single)
- Row 1 / Column 2 → 7 (Full House)
- Row 8 / Column 2 → 4 (Full House)
- Row 4 / Column 3 → 3 (Naked Single)
- Row 4 / Column 1 → 9 (Full House)
- Row 9 / Column 3 → 1 (Naked Single)
- Row 8 / Column 3 → 5 (Full House)
- Row 9 / Column 9 → 3 (Naked Single)
- Row 7 / Column 9 → 1 (Full House)
- Row 9 / Column 1 → 8 (Naked Single)
- Row 8 / Column 1 → 3 (Full House)
- Row 7 / Column 6 → 9 (Naked Single)
- Row 8 / Column 6 → 1 (Full House)
- Row 9 / Column 4 → 2 (Naked Single)
- Row 9 / Column 8 → 4 (Full House)
- Row 8 / Column 4 → 8 (Naked Single)
- Row 7 / Column 4 → 3 (Full House)
- Row 7 / Column 8 → 8 (Full House)
- Row 8 / Column 8 → 9 (Full House)
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