Solution for Hard Sudoku #2351684732918
6
4
5
8
1
2
7
3
9
1
9
3
7
4
6
2
5
8
2
7
8
5
3
9
4
6
1
5
2
6
3
9
8
4
7
1
3
8
1
4
7
5
6
2
9
7
9
4
1
2
6
3
8
5
1
6
4
2
5
7
9
8
3
8
3
2
9
6
4
5
1
7
9
5
7
8
1
3
6
4
2
This Sudoku Puzzle has 61 steps and it is solved using Hidden Single, Locked Triple, Naked Single, Locked Candidates Type 1 (Pointing), Naked Pair, undefined, Skyscraper, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 8 / Column 8 → 1 (Hidden Single)
- Locked Triple: 1,6,8 in r456c3 => r37c3,r46c2,r5c1<>6, r3c3,r5c1<>8, r46c2<>1
- Row 5 / Column 1 → 3 (Naked Single)
- Row 5 / Column 7 → 1 (Naked Single)
- Locked Candidates Type 1 (Pointing): 2 in b4 => r8c2<>2
- Locked Candidates Type 1 (Pointing): 7 in b4 => r23c2<>7
- Locked Candidates Type 1 (Pointing): 7 in b6 => r7c7<>7
- Naked Pair: 6,8 in r5c39 => r5c4<>6, r5c46<>8
- X-Wing: 4 c37 r37 => r3c2568,r7c2458<>4
- Skyscraper: 4 in r8c5,r9c8 (connected by r2c58) => r9c46<>4
- Row 9 / Column 8 → 4 (Hidden Single)
- Row 3 / Column 7 → 4 (Hidden Single)
- Row 3 / Column 3 → 9 (Naked Single)
- Row 7 / Column 3 → 4 (Naked Single)
- Row 7 / Column 8 → 5 (Hidden Single)
- Row 7 / Column 2 → 6 (Naked Single)
- Row 3 / Column 2 → 3 (Naked Single)
- Row 8 / Column 1 → 2 (Naked Single)
- Row 8 / Column 2 → 5 (Naked Single)
- Row 9 / Column 1 → 9 (Full House)
- Row 8 / Column 9 → 3 (Naked Single)
- Row 7 / Column 7 → 9 (Naked Single)
- Row 8 / Column 6 → 4 (Naked Single)
- Row 8 / Column 5 → 6 (Full House)
- Row 4 / Column 7 → 7 (Naked Single)
- Row 6 / Column 7 → 3 (Full House)
- Row 7 / Column 9 → 7 (Naked Single)
- Row 9 / Column 9 → 2 (Full House)
- Row 5 / Column 6 → 5 (Naked Single)
- Row 4 / Column 2 → 2 (Naked Single)
- Row 7 / Column 4 → 8 (Naked Single)
- Row 7 / Column 5 → 3 (Full House)
- Row 5 / Column 4 → 4 (Naked Single)
- Row 9 / Column 6 → 7 (Naked Single)
- Row 9 / Column 4 → 5 (Full House)
- Row 4 / Column 5 → 8 (Naked Single)
- Row 6 / Column 2 → 7 (Naked Single)
- Row 1 / Column 4 → 1 (Naked Single)
- Row 3 / Column 6 → 8 (Naked Single)
- Row 2 / Column 5 → 4 (Naked Single)
- Row 3 / Column 5 → 5 (Naked Single)
- Row 6 / Column 5 → 2 (Full House)
- Row 4 / Column 6 → 1 (Naked Single)
- Row 6 / Column 4 → 6 (Full House)
- Row 2 / Column 4 → 7 (Full House)
- Row 1 / Column 6 → 3 (Full House)
- Row 1 / Column 2 → 4 (Naked Single)
- Row 2 / Column 2 → 1 (Full House)
- Row 3 / Column 8 → 6 (Naked Single)
- Row 3 / Column 1 → 7 (Full House)
- Row 4 / Column 3 → 6 (Naked Single)
- Row 4 / Column 8 → 9 (Full House)
- Row 6 / Column 8 → 8 (Naked Single)
- Row 2 / Column 8 → 3 (Full House)
- Row 5 / Column 9 → 6 (Full House)
- Row 5 / Column 3 → 8 (Full House)
- Row 6 / Column 3 → 1 (Full House)
- Row 2 / Column 1 → 8 (Naked Single)
- Row 1 / Column 1 → 6 (Full House)
- Row 1 / Column 9 → 8 (Full House)
- Row 2 / Column 9 → 9 (Full House)
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