8
7
9
5
2
6
1
3
4
4
1
3
8
7
9
2
6
5
5
2
6
4
3
1
9
7
8
9
6
3
4
1
5
7
8
2
5
4
8
6
2
7
9
3
1
2
1
7
8
9
3
6
4
5
3
5
8
2
4
1
6
9
7
7
9
2
3
5
6
1
8
4
1
6
4
7
8
9
3
5
2
This Sudoku Puzzle has 67 steps and it is solved using Naked Single, Hidden Single, Full House, Locked Candidates Type 1 (Pointing), Skyscraper, undefined, Hidden Rectangle, AIC, Locked Candidates Type 2 (Claiming) techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 7 / Column 2 → 5 (Naked Single)
- Row 6 / Column 9 → 5 (Hidden Single)
- Row 2 / Column 6 → 9 (Hidden Single)
- Row 7 / Column 3 → 8 (Hidden Single)
- Row 9 / Column 8 → 5 (Hidden Single)
- Row 6 / Column 7 → 6 (Hidden Single)
- Row 8 / Column 7 → 7 (Naked Single)
- Row 7 / Column 8 → 6 (Naked Single)
- Row 7 / Column 9 → 4 (Naked Single)
- Row 8 / Column 9 → 9 (Naked Single)
- Row 9 / Column 7 → 3 (Full House)
- Row 5 / Column 7 → 8 (Naked Single)
- Row 2 / Column 7 → 4 (Naked Single)
- Row 4 / Column 7 → 2 (Full House)
- Row 5 / Column 8 → 9 (Hidden Single)
- Row 4 / Column 1 → 9 (Hidden Single)
- Row 4 / Column 6 → 8 (Hidden Single)
- Row 9 / Column 2 → 9 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b6 => r123c9<>3
- Locked Candidates Type 1 (Pointing): 7 in b6 => r123c9<>7
- Locked Candidates Type 1 (Pointing): 2 in b7 => r8c6<>2
- Skyscraper: 4 in r1c5,r3c3 (connected by r4c35) => r1c1,r3c46<>4
- W-Wing: 3/7 in r5c9,r6c5 connected by 7 in r4c59 => r5c6<>3
- Locked Candidates Type 1 (Pointing): 3 in b5 => r12c5<>3
- Hidden Rectangle: 4/6 in r5c46,r9c46 => r5c4<>4
- AIC: 4 4- r3c3 =4= r3c1 =5= r3c6 -5- r8c6 -6- r9c6 -4- r5c6 =4= r5c1 -4 => r3c1,r4c3<>4
- Row 4 / Column 3 → 3 (Naked Single)
- Row 4 / Column 9 → 7 (Naked Single)
- Row 4 / Column 5 → 4 (Full House)
- Row 5 / Column 9 → 3 (Full House)
- Row 6 / Column 3 → 2 (Naked Single)
- Row 6 / Column 1 → 7 (Naked Single)
- Row 6 / Column 5 → 3 (Full House)
- Row 5 / Column 2 → 1 (Naked Single)
- Row 5 / Column 1 → 4 (Full House)
- Row 3 / Column 3 → 4 (Hidden Single)
- Row 2 / Column 8 → 3 (Hidden Single)
- Row 8 / Column 1 → 2 (Hidden Single)
- Locked Candidates Type 2 (Claiming): 7 in r2 => r1c456,r3c46<>7
- Row 1 / Column 5 → 1 (Naked Single)
- Row 8 / Column 5 → 5 (Naked Single)
- Row 2 / Column 5 → 7 (Full House)
- Row 8 / Column 6 → 6 (Naked Single)
- Row 8 / Column 3 → 1 (Full House)
- Row 2 / Column 3 → 6 (Full House)
- Row 9 / Column 1 → 6 (Full House)
- Row 2 / Column 4 → 8 (Naked Single)
- Row 5 / Column 6 → 7 (Naked Single)
- Row 5 / Column 4 → 6 (Full House)
- Row 9 / Column 6 → 4 (Naked Single)
- Row 9 / Column 4 → 1 (Full House)
- Row 1 / Column 1 → 8 (Naked Single)
- Row 2 / Column 9 → 1 (Naked Single)
- Row 2 / Column 1 → 5 (Full House)
- Row 3 / Column 1 → 1 (Full House)
- Row 3 / Column 4 → 2 (Naked Single)
- Row 7 / Column 6 → 2 (Naked Single)
- Row 7 / Column 4 → 7 (Full House)
- Row 1 / Column 4 → 4 (Full House)
- Row 1 / Column 9 → 6 (Naked Single)
- Row 3 / Column 9 → 8 (Full House)
- Row 1 / Column 6 → 3 (Naked Single)
- Row 3 / Column 6 → 5 (Full House)
- Row 3 / Column 8 → 7 (Naked Single)
- Row 1 / Column 8 → 2 (Full House)
- Row 1 / Column 2 → 7 (Full House)
- Row 3 / Column 2 → 3 (Full House)
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