4
9
7
6
1
3
2
5
8
2
1
5
7
8
4
6
3
9
6
3
8
9
5
2
7
4
1
3
8
2
1
7
4
5
6
9
9
7
6
5
2
3
8
4
1
4
1
5
8
6
9
2
7
3
8
3
1
9
2
6
7
4
5
4
6
2
3
5
7
1
9
8
5
9
7
1
8
4
3
2
6
This Sudoku Puzzle has 65 steps and it is solved using Hidden Single, Locked Candidates Type 2 (Claiming), Naked Triple, Locked Candidates Type 1 (Pointing), Hidden Pair, Swordfish, Naked Single, Naked Pair, 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 1 → 1 (Hidden Single)
- Row 4 / Column 3 → 2 (Hidden Single)
- Locked Candidates Type 2 (Claiming): 7 in c5 => r4c6,r6c4<>7
- Naked Triple: 4,6,9 in r128c1 => r67c1<>4, r67c1<>6, r7c1<>9
- Locked Candidates Type 1 (Pointing): 6 in b4 => r179c2<>6
- Hidden Pair: 5,8 in r3c23 => r3c23<>3, r3c23<>4, r3c2<>9
- Swordfish: 3 r258 c346 => r17c4,r3c6<>3
- Swordfish: 5 r349 c239 => r5c39,r67c2<>5
- Row 5 / Column 9 → 9 (Naked Single)
- Swordfish: 8 r349 c236 => r5c36,r67c2<>8
- Row 5 / Column 3 → 4 (Naked Single)
- Row 5 / Column 6 → 3 (Naked Single)
- Row 6 / Column 2 → 6 (Naked Single)
- Naked Pair: 5,8 in r34c2 => r9c2<>5, r9c2<>8
- Naked Pair: 3,6 in r28c3 => r9c3<>6
- Locked Candidates Type 1 (Pointing): 6 in b7 => r8c679<>6
- Naked Pair: 1,4 in r38c9 => r29c9<>4, r4c9<>1
- Row 4 / Column 9 → 5 (Naked Single)
- Row 4 / Column 2 → 8 (Naked Single)
- Row 6 / Column 1 → 5 (Full House)
- Row 5 / Column 7 → 8 (Naked Single)
- Row 5 / Column 4 → 5 (Full House)
- Row 3 / Column 2 → 5 (Naked Single)
- Row 4 / Column 6 → 6 (Naked Single)
- Row 7 / Column 1 → 8 (Naked Single)
- Row 6 / Column 7 → 2 (Naked Single)
- Row 3 / Column 3 → 8 (Naked Single)
- Row 4 / Column 5 → 7 (Naked Single)
- Row 4 / Column 8 → 1 (Full House)
- Row 6 / Column 8 → 7 (Full House)
- Row 7 / Column 4 → 4 (Naked Single)
- Row 9 / Column 3 → 5 (Naked Single)
- Row 6 / Column 5 → 4 (Naked Single)
- Row 6 / Column 4 → 8 (Full House)
- Row 1 / Column 4 → 2 (Naked Single)
- Row 7 / Column 8 → 9 (Naked Single)
- Row 7 / Column 2 → 3 (Naked Single)
- Row 8 / Column 7 → 1 (Naked Single)
- Row 7 / Column 5 → 6 (Naked Single)
- Row 7 / Column 7 → 5 (Full House)
- Row 8 / Column 3 → 6 (Naked Single)
- Row 2 / Column 3 → 3 (Full House)
- Row 8 / Column 9 → 4 (Naked Single)
- Row 9 / Column 5 → 9 (Naked Single)
- Row 2 / Column 4 → 7 (Naked Single)
- Row 8 / Column 4 → 3 (Full House)
- Row 3 / Column 9 → 1 (Naked Single)
- Row 8 / Column 1 → 9 (Naked Single)
- Row 8 / Column 6 → 7 (Full House)
- Row 9 / Column 2 → 4 (Full House)
- Row 9 / Column 6 → 8 (Full House)
- Row 1 / Column 2 → 9 (Full House)
- Row 9 / Column 8 → 2 (Naked Single)
- Row 9 / Column 9 → 6 (Full House)
- Row 2 / Column 9 → 2 (Full House)
- Row 3 / Column 5 → 3 (Naked Single)
- Row 1 / Column 5 → 1 (Full House)
- Row 1 / Column 7 → 6 (Naked Single)
- Row 2 / Column 7 → 9 (Full House)
- Row 3 / Column 8 → 4 (Naked Single)
- Row 1 / Column 8 → 3 (Full House)
- Row 1 / Column 1 → 4 (Full House)
- Row 3 / Column 6 → 9 (Full House)
- Row 2 / Column 6 → 4 (Full House)
- Row 2 / Column 1 → 6 (Full House)
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