7
8
1
4
2
5
6
3
9
3
4
9
6
7
8
5
1
2
5
2
6
9
1
3
7
4
8
5
4
8
2
7
6
1
9
3
7
2
1
9
8
3
4
6
5
6
3
9
4
5
1
2
8
7
9
5
2
8
1
4
3
6
7
1
3
7
2
9
6
8
5
4
8
6
4
3
7
5
1
9
2
This Sudoku Puzzle has 61 steps and it is solved using Naked Single, Full House, Hidden Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Naked Triple, undefined, Hidden Rectangle, Bivalue Universal Grave + 1 techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 5 / Column 7 → 4 (Naked Single)
- Row 5 / Column 3 → 6 (Full House)
- Row 2 / Column 5 → 7 (Naked Single)
- Row 1 / Column 5 → 4 (Naked Single)
- Row 8 / Column 5 → 9 (Naked Single)
- Row 9 / Column 5 → 5 (Full House)
- Row 1 / Column 7 → 5 (Hidden Single)
- Row 6 / Column 6 → 5 (Hidden Single)
- Row 4 / Column 4 → 7 (Hidden Single)
- Row 7 / Column 2 → 5 (Hidden Single)
- Row 3 / Column 2 → 3 (Hidden Single)
- Row 9 / Column 3 → 7 (Hidden Single)
- Row 1 / Column 3 → 1 (Naked Single)
- Row 3 / Column 3 → 9 (Naked Single)
- Row 1 / Column 1 → 7 (Naked Single)
- Row 3 / Column 1 → 6 (Full House)
- Row 7 / Column 8 → 6 (Hidden Single)
- Row 3 / Column 7 → 7 (Hidden Single)
- Row 7 / Column 1 → 9 (Hidden Single)
- Row 2 / Column 8 → 1 (Hidden Single)
- Row 3 / Column 8 → 4 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 8 in b9 => r7c3<>8
- Locked Candidates Type 2 (Claiming): 8 in c8 => r4c9,r6c7<>8
- Naked Triple: 2,4,8 in r379c9 => r2c9<>8
- 2-String Kite: 1 in r4c6,r8c1 (connected by r4c2,r6c1) => r8c6<>1
- XY-Wing: 4/8/1 in r4c36,r6c1 => r4c2,r6c4<>1
- Row 6 / Column 4 → 4 (Naked Single)
- Row 4 / Column 6 → 1 (Full House)
- XY-Wing: 2/9/1 in r6c27,r9c7 => r9c2<>1
- Row 9 / Column 7 → 1 (Hidden Single)
- Row 7 / Column 4 → 1 (Hidden Single)
- X-Wing: 2 r39 c69 => r7c9,r8c6<>2
- Hidden Rectangle: 4/6 in r8c26,r9c26 => r9c2<>4
- Row 9 / Column 2 → 6 (Naked Single)
- Bivalue Universal Grave + 1 => r8c3<>2, r8c3<>8
- Row 8 / Column 3 → 4 (Naked Single)
- Row 4 / Column 3 → 8 (Naked Single)
- Row 7 / Column 3 → 2 (Full House)
- Row 8 / Column 2 → 1 (Naked Single)
- Row 8 / Column 1 → 8 (Full House)
- Row 6 / Column 1 → 1 (Full House)
- Row 8 / Column 6 → 6 (Naked Single)
- Row 8 / Column 4 → 2 (Full House)
- Row 9 / Column 6 → 4 (Full House)
- Row 9 / Column 9 → 2 (Full House)
- Row 4 / Column 8 → 3 (Naked Single)
- Row 7 / Column 7 → 8 (Naked Single)
- Row 7 / Column 9 → 4 (Full House)
- Row 6 / Column 2 → 9 (Naked Single)
- Row 4 / Column 2 → 4 (Full House)
- Row 4 / Column 9 → 9 (Full House)
- Row 2 / Column 6 → 8 (Naked Single)
- Row 3 / Column 6 → 2 (Full House)
- Row 3 / Column 9 → 8 (Full House)
- Row 2 / Column 9 → 3 (Full House)
- Row 1 / Column 4 → 3 (Naked Single)
- Row 1 / Column 8 → 2 (Full House)
- Row 2 / Column 7 → 9 (Full House)
- Row 6 / Column 7 → 2 (Full House)
- Row 2 / Column 4 → 6 (Full House)
- Row 6 / Column 8 → 8 (Full House)
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