8
2
3
7
9
6
4
5
1
4
9
6
1
5
3
7
8
2
5
1
7
2
4
8
9
6
3
3
6
5
1
8
7
9
4
2
2
1
4
9
3
5
6
7
8
7
8
9
4
2
6
1
3
5
6
1
9
2
3
8
5
7
4
8
2
7
5
4
9
3
6
1
3
5
4
6
7
1
8
9
2
This Sudoku Puzzle has 72 steps and it is solved using Hidden Single, Naked Single, Full House, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), undefined, Naked Triple, Hidden Rectangle, Multi Colors 1 techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 1 / Column 9 → 7 (Hidden Single)
- Row 2 / Column 7 → 2 (Hidden Single)
- Row 9 / Column 1 → 5 (Hidden Single)
- Row 4 / Column 9 → 9 (Hidden Single)
- Row 8 / Column 8 → 7 (Hidden Single)
- Row 1 / Column 7 → 5 (Hidden Single)
- Row 1 / Column 4 → 4 (Naked Single)
- Row 1 / Column 1 → 8 (Naked Single)
- Row 8 / Column 4 → 5 (Naked Single)
- Row 2 / Column 4 → 1 (Naked Single)
- Row 4 / Column 3 → 5 (Hidden Single)
- Row 6 / Column 9 → 5 (Hidden Single)
- Row 9 / Column 7 → 8 (Hidden Single)
- Row 3 / Column 7 → 9 (Hidden Single)
- Row 3 / Column 5 → 8 (Hidden Single)
- Row 2 / Column 5 → 5 (Hidden Single)
- Row 6 / Column 3 → 2 (Hidden Single)
- Row 6 / Column 4 → 6 (Naked Single)
- Row 4 / Column 4 → 2 (Full House)
- Row 5 / Column 9 → 6 (Hidden Single)
- Row 4 / Column 2 → 6 (Hidden Single)
- Row 7 / Column 1 → 6 (Hidden Single)
- Row 2 / Column 3 → 6 (Hidden Single)
- Row 4 / Column 5 → 1 (Hidden Single)
- Row 9 / Column 5 → 6 (Hidden Single)
- Row 9 / Column 9 → 2 (Hidden Single)
- Row 7 / Column 5 → 2 (Hidden Single)
- Row 7 / Column 6 → 7 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 1 in b6 => r7c7<>1
- Locked Candidates Type 1 (Pointing): 4 in b8 => r8c239<>4
- Locked Candidates Type 1 (Pointing): 9 in b8 => r8c23<>9
- Locked Candidates Type 1 (Pointing): 4 in b9 => r7c23<>4
- Locked Candidates Type 2 (Claiming): 8 in r5 => r6c2<>8
- X-Wing: 3 c68 r26 => r2c2,r6c57<>3
- Locked Candidates Type 1 (Pointing): 3 in b1 => r78c3<>3
- Naked Triple: 1,4,7 in r6c257 => r6c68<>4
- XYZ-Wing: 1/4/7 in r5c1,r69c2 => r5c2<>4
- Hidden Rectangle: 1/8 in r5c23,r8c23 => r5c2<>1
- Multi Colors 1: 4 (r2c2,r3c9,r4c8,r7c7,r8c6) / (r2c8,r4c6,r7c9,r8c5), (r3c1) / (r5c1) => r5c5<>4
- XY-Chain: 1 1- r7c3 -9- r1c3 -3- r1c5 -9- r2c6 -3- r2c8 -4- r3c9 -3- r8c9 -1 => r7c9,r8c23<>1
- Row 8 / Column 3 → 8 (Naked Single)
- Row 8 / Column 2 → 3 (Naked Single)
- Row 8 / Column 9 → 1 (Naked Single)
- Row 5 / Column 2 → 8 (Hidden Single)
- XY-Chain: 1 1- r6c7 -4- r4c8 -8- r6c8 -3- r2c8 -4- r2c2 -9- r7c2 -1 => r6c2<>1
- Row 6 / Column 7 → 1 (Hidden Single)
- Row 7 / Column 2 → 1 (Hidden Single)
- Row 7 / Column 3 → 9 (Naked Single)
- Row 1 / Column 3 → 3 (Naked Single)
- Row 1 / Column 5 → 9 (Full House)
- Row 2 / Column 6 → 3 (Full House)
- Row 8 / Column 5 → 4 (Naked Single)
- Row 8 / Column 6 → 9 (Full House)
- Row 2 / Column 8 → 4 (Naked Single)
- Row 2 / Column 2 → 9 (Full House)
- Row 3 / Column 9 → 3 (Full House)
- Row 7 / Column 9 → 4 (Full House)
- Row 7 / Column 7 → 3 (Full House)
- Row 5 / Column 7 → 4 (Full House)
- Row 6 / Column 6 → 8 (Naked Single)
- Row 4 / Column 6 → 4 (Full House)
- Row 4 / Column 8 → 8 (Full House)
- Row 6 / Column 8 → 3 (Full House)
- Row 6 / Column 5 → 7 (Naked Single)
- Row 5 / Column 5 → 3 (Full House)
- Row 6 / Column 2 → 4 (Full House)
- Row 9 / Column 2 → 7 (Full House)
- Row 9 / Column 3 → 4 (Full House)
- Row 5 / Column 1 → 1 (Naked Single)
- Row 3 / Column 1 → 4 (Full House)
- Row 3 / Column 3 → 1 (Full House)
- Row 5 / Column 3 → 7 (Full House)
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