6
8
9
2
4
1
3
7
5
1
5
3
7
9
8
2
4
6
4
7
2
6
5
3
1
8
9
7
9
6
4
3
8
1
5
2
5
8
1
9
7
2
3
6
4
3
2
4
5
6
1
8
9
7
9
2
4
8
6
3
5
1
7
6
1
5
4
2
7
8
3
9
7
3
8
9
1
5
2
4
6
This Sudoku Puzzle has 71 steps and it is solved using Hidden Single, Locked Pair, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Hidden Pair, Naked Pair, Hidden Rectangle, undefined, Naked Single, Naked Triple, Empty Rectangle, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 5 / Column 5 → 7 (Hidden Single)
- Row 6 / Column 7 → 8 (Hidden Single)
- Row 5 / Column 3 → 8 (Hidden Single)
- Row 3 / Column 4 → 2 (Hidden Single)
- Row 4 / Column 6 → 1 (Hidden Single)
- Row 6 / Column 4 → 3 (Hidden Single)
- Locked Pair: 4,5 in r13c5 => r2c46,r3c6,r7c5<>4, r2c46,r3c6,r79c5<>5
- Locked Pair: 4,7 in r8c46 => r7c6,r8c23<>4, r7c6,r8c238,r9c4<>7
- Locked Candidates Type 1 (Pointing): 6 in b9 => r9c123<>6
- Locked Candidates Type 2 (Claiming): 6 in c1 => r13c3,r23c2<>6
- Locked Candidates Type 2 (Claiming): 1 in c8 => r7c79,r9c79<>1
- Hidden Pair: 1,3 in r78c8 => r7c8<>2, r7c8<>7
- Locked Candidates Type 1 (Pointing): 7 in b9 => r123c7<>7
- Naked Pair: 1,3 in r7c58 => r7c123<>3, r7c2<>1
- Hidden Rectangle: 1/4 in r3c79,r5c79 => r3c7<>4
- XY-Chain: 5 5- r2c8 -7- r2c4 -8- r9c4 -5- r4c4 -4- r6c6 -5 => r6c8<>5
- Row 6 / Column 8 → 9 (Naked Single)
- Naked Triple: 3,4,5 in r5c12,r6c2 => r4c23<>4, r4c23<>5
- 2-String Kite: 5 in r6c2,r9c4 (connected by r4c4,r6c6) => r9c2<>5
- Empty Rectangle: 4 in b4 (r2c27) => r5c7<>4
- Locked Candidates Type 1 (Pointing): 4 in b6 => r13c9<>4
- XY-Chain: 5 5- r2c8 -7- r2c4 -8- r9c4 -5- r7c6 -8- r7c9 -2- r4c9 -4- r5c9 -1- r5c7 -5 => r123c7,r4c8<>5
- Row 4 / Column 8 → 2 (Naked Single)
- Row 4 / Column 9 → 4 (Naked Single)
- Row 4 / Column 4 → 5 (Naked Single)
- Row 6 / Column 6 → 4 (Full House)
- Row 6 / Column 2 → 5 (Full House)
- Row 5 / Column 9 → 1 (Naked Single)
- Row 5 / Column 7 → 5 (Full House)
- Row 9 / Column 4 → 8 (Naked Single)
- Row 8 / Column 6 → 7 (Naked Single)
- Row 2 / Column 4 → 7 (Naked Single)
- Row 8 / Column 4 → 4 (Full House)
- Row 7 / Column 6 → 5 (Naked Single)
- Row 3 / Column 6 → 6 (Naked Single)
- Row 2 / Column 6 → 8 (Full House)
- Row 2 / Column 2 → 4 (Naked Single)
- Row 2 / Column 8 → 5 (Naked Single)
- Row 2 / Column 7 → 6 (Full House)
- Row 3 / Column 7 → 1 (Naked Single)
- Row 3 / Column 9 → 9 (Naked Single)
- Row 5 / Column 2 → 3 (Naked Single)
- Row 5 / Column 1 → 4 (Full House)
- Row 1 / Column 8 → 7 (Naked Single)
- Row 1 / Column 9 → 2 (Naked Single)
- Row 1 / Column 7 → 4 (Full House)
- Row 3 / Column 2 → 7 (Naked Single)
- Row 7 / Column 1 → 9 (Naked Single)
- Row 7 / Column 9 → 8 (Naked Single)
- Row 9 / Column 9 → 6 (Full House)
- Row 1 / Column 5 → 5 (Naked Single)
- Row 3 / Column 5 → 4 (Full House)
- Row 7 / Column 2 → 2 (Naked Single)
- Row 1 / Column 1 → 6 (Naked Single)
- Row 1 / Column 3 → 9 (Full House)
- Row 7 / Column 7 → 7 (Naked Single)
- Row 9 / Column 7 → 2 (Full House)
- Row 9 / Column 2 → 1 (Naked Single)
- Row 4 / Column 3 → 6 (Naked Single)
- Row 4 / Column 2 → 9 (Full House)
- Row 8 / Column 2 → 6 (Full House)
- Row 7 / Column 3 → 4 (Naked Single)
- Row 9 / Column 5 → 3 (Naked Single)
- Row 7 / Column 5 → 1 (Full House)
- Row 7 / Column 8 → 3 (Full House)
- Row 8 / Column 8 → 1 (Full House)
- Row 8 / Column 3 → 3 (Full House)
- Row 9 / Column 1 → 5 (Naked Single)
- Row 3 / Column 1 → 3 (Full House)
- Row 3 / Column 3 → 5 (Full House)
- Row 9 / Column 3 → 7 (Full House)
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