5
4
9
6
8
7
1
2
3
1
6
2
9
3
5
7
4
8
7
3
8
2
1
4
5
6
9
4
9
2
7
3
5
8
6
1
3
8
6
4
1
9
2
5
7
1
5
7
8
2
6
9
4
3
3
7
8
9
1
4
2
5
6
6
2
1
5
7
3
8
9
4
4
9
5
6
8
2
3
7
1
This Sudoku Puzzle has 69 steps and it is solved using Hidden Single, Naked Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Full House, Naked Pair, Hidden Rectangle, Sue de Coq, undefined techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 5 / Column 5 → 1 (Hidden Single)
- Row 7 / Column 7 → 4 (Hidden Single)
- Row 1 / Column 5 → 6 (Hidden Single)
- Row 7 / Column 9 → 5 (Hidden Single)
- Row 1 / Column 6 → 2 (Hidden Single)
- Row 3 / Column 5 → 4 (Hidden Single)
- Row 5 / Column 8 → 2 (Hidden Single)
- Row 6 / Column 8 → 4 (Naked Single)
- Row 4 / Column 8 → 5 (Naked Single)
- Row 6 / Column 4 → 2 (Hidden Single)
- Row 1 / Column 7 → 7 (Hidden Single)
- Row 3 / Column 7 → 5 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 5 in b2 => r2c1<>5
- Locked Candidates Type 1 (Pointing): 9 in b3 => r56c9<>9
- Locked Candidates Type 1 (Pointing): 7 in b5 => r38c6<>7
- Row 3 / Column 4 → 7 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b6 => r6c6<>3
- Locked Candidates Type 1 (Pointing): 3 in b9 => r9c134<>3
- Locked Candidates Type 1 (Pointing): 3 in b8 => r8c1<>3
- Locked Candidates Type 2 (Claiming): 8 in r7 => r8c2,r9c3<>8
- Locked Candidates Type 2 (Claiming): 9 in c5 => r8c46,r9c4<>9
- Row 9 / Column 4 → 8 (Naked Single)
- Row 9 / Column 7 → 3 (Naked Single)
- Row 6 / Column 7 → 9 (Naked Single)
- Row 5 / Column 7 → 8 (Full House)
- Row 9 / Column 9 → 1 (Naked Single)
- Row 5 / Column 9 → 6 (Naked Single)
- Row 6 / Column 9 → 3 (Full House)
- Row 9 / Column 8 → 7 (Naked Single)
- Row 8 / Column 8 → 8 (Full House)
- Row 2 / Column 8 → 1 (Full House)
- Naked Pair: 8,9 in r3c69 => r3c13<>9, r3c3<>8
- Hidden Rectangle: 5/9 in r1c13,r5c13 => r1c1<>9
- Sue de Coq: r79c3 - {3689} (r36c3 - {136}, r78c2,r8c1 - {1789}) => r7c1<>7, r9c1<>9
- XY-Chain: 3 3- r3c3 -1- r6c3 -6- r6c6 -7- r5c6 -9- r4c4 -3- r8c4 -5- r2c4 -9- r2c1 -6- r9c1 -2- r7c1 -3 => r3c1,r7c3<>3
- Row 3 / Column 1 → 1 (Naked Single)
- Row 7 / Column 3 → 8 (Naked Single)
- Row 3 / Column 3 → 3 (Naked Single)
- Row 7 / Column 2 → 7 (Naked Single)
- Row 7 / Column 5 → 2 (Naked Single)
- Row 7 / Column 1 → 3 (Full House)
- Row 8 / Column 1 → 9 (Naked Single)
- Row 9 / Column 5 → 9 (Naked Single)
- Row 8 / Column 5 → 7 (Full House)
- Row 2 / Column 1 → 6 (Naked Single)
- Row 8 / Column 2 → 1 (Naked Single)
- Row 9 / Column 3 → 6 (Naked Single)
- Row 9 / Column 1 → 2 (Full House)
- Row 4 / Column 1 → 4 (Naked Single)
- Row 6 / Column 2 → 6 (Naked Single)
- Row 6 / Column 3 → 1 (Naked Single)
- Row 6 / Column 6 → 7 (Full House)
- Row 1 / Column 1 → 5 (Naked Single)
- Row 5 / Column 1 → 7 (Full House)
- Row 4 / Column 2 → 9 (Naked Single)
- Row 5 / Column 3 → 5 (Full House)
- Row 5 / Column 6 → 9 (Full House)
- Row 1 / Column 3 → 9 (Full House)
- Row 2 / Column 2 → 8 (Naked Single)
- Row 1 / Column 2 → 4 (Full House)
- Row 1 / Column 9 → 8 (Full House)
- Row 3 / Column 9 → 9 (Full House)
- Row 3 / Column 6 → 8 (Full House)
- Row 4 / Column 4 → 3 (Naked Single)
- Row 4 / Column 6 → 6 (Full House)
- Row 2 / Column 6 → 5 (Naked Single)
- Row 2 / Column 4 → 9 (Full House)
- Row 8 / Column 4 → 5 (Full House)
- Row 8 / Column 6 → 3 (Full House)
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