2
5
3
7
1
4
9
6
8
8
9
1
2
6
3
4
7
5
6
7
4
9
8
5
1
3
2
8
9
2
6
4
5
1
3
7
7
1
4
3
8
9
5
2
6
3
5
6
7
2
1
8
4
9
3
7
1
5
8
6
4
2
9
9
5
2
1
4
7
6
3
8
4
6
8
2
9
3
5
1
7
This Sudoku Puzzle has 61 steps and it is solved using Naked Single, Hidden Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), undefined, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 5 / Column 1 → 6 (Naked Single)
- Row 5 / Column 2 → 4 (Hidden Single)
- Row 8 / Column 5 → 4 (Hidden Single)
- Row 2 / Column 3 → 4 (Hidden Single)
- Row 9 / Column 8 → 1 (Hidden Single)
- Row 3 / Column 7 → 1 (Hidden Single)
- Row 3 / Column 4 → 4 (Hidden Single)
- Row 3 / Column 2 → 6 (Hidden Single)
- Row 1 / Column 6 → 1 (Hidden Single)
- Row 7 / Column 8 → 6 (Hidden Single)
- Row 1 / Column 2 → 5 (Hidden Single)
- Row 1 / Column 4 → 8 (Hidden Single)
- Row 9 / Column 6 → 8 (Hidden Single)
- Row 8 / Column 3 → 6 (Hidden Single)
- Row 9 / Column 4 → 6 (Hidden Single)
- Row 6 / Column 6 → 6 (Hidden Single)
- Row 2 / Column 5 → 6 (Hidden Single)
- Row 4 / Column 9 → 6 (Hidden Single)
- Row 2 / Column 9 → 5 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 2 in b4 => r7c3<>2
- Locked Candidates Type 1 (Pointing): 3 in b9 => r8c1<>3
- Locked Candidates Type 1 (Pointing): 7 in b9 => r3c9<>7
- Locked Candidates Type 2 (Claiming): 7 in c2 => r7c13,r8c1<>7
- Row 8 / Column 1 → 5 (Naked Single)
- 2-String Kite: 2 in r2c4,r5c8 (connected by r2c7,r3c8) => r5c4<>2
- W-Wing: 9/2 in r2c7,r6c9 connected by 2 in r35c8 => r3c9,r6c7<>9
- Row 3 / Column 1 → 9 (Hidden Single)
- Row 2 / Column 1 → 7 (Naked Single)
- Row 1 / Column 3 → 3 (Full House)
- Row 1 / Column 8 → 7 (Full House)
- Row 2 / Column 4 → 2 (Naked Single)
- Row 2 / Column 7 → 9 (Full House)
- Row 7 / Column 3 → 1 (Naked Single)
- Row 7 / Column 1 → 3 (Naked Single)
- Row 6 / Column 9 → 9 (Hidden Single)
- XY-Wing: 2/7/9 in r58c6,r7c4 => r5c4,r7c6<>9
- Row 5 / Column 4 → 3 (Naked Single)
- Row 4 / Column 4 → 7 (Naked Single)
- Row 7 / Column 4 → 9 (Full House)
- Row 5 / Column 8 → 2 (Naked Single)
- Row 3 / Column 8 → 3 (Full House)
- Row 5 / Column 6 → 9 (Full House)
- Row 3 / Column 9 → 2 (Full House)
- Row 4 / Column 3 → 2 (Naked Single)
- Row 6 / Column 3 → 7 (Full House)
- Row 6 / Column 7 → 8 (Naked Single)
- Row 4 / Column 7 → 3 (Full House)
- Row 8 / Column 7 → 2 (Full House)
- Row 9 / Column 9 → 7 (Naked Single)
- Row 8 / Column 9 → 3 (Full House)
- Row 8 / Column 6 → 7 (Full House)
- Row 9 / Column 2 → 2 (Full House)
- Row 7 / Column 2 → 7 (Full House)
- Row 4 / Column 5 → 1 (Naked Single)
- Row 4 / Column 1 → 8 (Full House)
- Row 6 / Column 1 → 1 (Full House)
- Row 6 / Column 5 → 2 (Full House)
- Row 3 / Column 6 → 5 (Naked Single)
- Row 3 / Column 5 → 7 (Full House)
- Row 7 / Column 5 → 5 (Full House)
- Row 7 / Column 6 → 2 (Full House)
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