4
1
6
8
5
2
9
7
3
3
7
5
9
4
1
8
6
2
8
9
2
7
3
6
5
4
1
7
4
9
2
8
1
3
6
5
6
5
8
4
9
3
2
1
7
2
1
3
6
7
5
4
8
9
5
9
8
6
2
4
1
3
7
1
2
4
7
3
9
5
8
6
3
6
7
1
5
8
9
2
4
This Sudoku Puzzle has 67 steps and it is solved using Hidden Single, Locked Candidates Type 2 (Claiming), Naked Pair, Naked Single, Locked Candidates Type 1 (Pointing), undefined, Empty Rectangle, Uniqueness Test 3, Remote Pair, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 2 / Column 6 → 1 (Hidden Single)
- Row 4 / Column 2 → 4 (Hidden Single)
- Row 1 / Column 1 → 4 (Hidden Single)
- Row 7 / Column 7 → 3 (Hidden Single)
- Row 2 / Column 8 → 3 (Hidden Single)
- Row 2 / Column 5 → 4 (Hidden Single)
- Row 1 / Column 2 → 1 (Hidden Single)
- Row 4 / Column 8 → 1 (Hidden Single)
- Row 3 / Column 9 → 1 (Hidden Single)
- Row 4 / Column 6 → 8 (Hidden Single)
- Locked Candidates Type 2 (Claiming): 8 in r8 => r79c9,r9c78<>8
- Row 1 / Column 7 → 8 (Hidden Single)
- Naked Pair: 6,9 in r14c3 => r3569c3<>6, r35679c3<>9
- Naked Pair: 3,5 in r36c3 => r57c3<>5
- Row 5 / Column 3 → 1 (Naked Single)
- Row 9 / Column 1 → 1 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 6 in b7 => r8c46<>6
- Naked Pair: 2,9 in r19c8 => r68c8<>9, r8c8<>2
- 2-String Kite: 2 in r5c1,r8c4 (connected by r5c5,r6c4) => r8c1<>2
- 2-String Kite: 7 in r1c5,r9c7 (connected by r1c9,r2c7) => r9c5<>7
- Empty Rectangle: 5 in b4 (r68c8) => r8c1<>5
- Uniqueness Test 3: 7/8 in r7c35,r9c35 => r1c5<>6, r1c5<>9
- Row 1 / Column 5 → 7 (Naked Single)
- Naked Pair: 6,9 in r24c4 => r6c4<>6, r68c4<>9
- Remote Pair: 6/9 r1c3 -9- r4c3 -6- r4c4 -9- r2c4 => r2c2<>6, r2c2<>9
- Row 2 / Column 2 → 5 (Naked Single)
- Row 3 / Column 3 → 3 (Naked Single)
- Row 6 / Column 3 → 5 (Naked Single)
- Row 6 / Column 8 → 8 (Naked Single)
- Row 8 / Column 8 → 5 (Naked Single)
- Row 3 / Column 7 → 5 (Hidden Single)
- Row 7 / Column 1 → 5 (Hidden Single)
- Row 6 / Column 1 → 3 (Hidden Single)
- Row 8 / Column 9 → 8 (Hidden Single)
- Row 5 / Column 9 → 5 (Hidden Single)
- Row 5 / Column 1 → 2 (Hidden Single)
- Row 6 / Column 4 → 2 (Hidden Single)
- Row 8 / Column 4 → 7 (Naked Single)
- Row 8 / Column 6 → 9 (Naked Single)
- Row 7 / Column 6 → 4 (Naked Single)
- Row 8 / Column 1 → 6 (Naked Single)
- Row 3 / Column 1 → 9 (Full House)
- Row 8 / Column 2 → 2 (Full House)
- Row 1 / Column 3 → 6 (Full House)
- Row 3 / Column 5 → 6 (Full House)
- Row 2 / Column 4 → 9 (Full House)
- Row 4 / Column 4 → 6 (Full House)
- Row 4 / Column 3 → 9 (Full House)
- Row 6 / Column 2 → 6 (Full House)
- Row 7 / Column 2 → 9 (Full House)
- Row 9 / Column 6 → 6 (Naked Single)
- Row 6 / Column 6 → 7 (Full House)
- Row 5 / Column 5 → 9 (Full House)
- Row 6 / Column 9 → 9 (Full House)
- Row 5 / Column 7 → 6 (Full House)
- Row 1 / Column 9 → 2 (Naked Single)
- Row 1 / Column 8 → 9 (Full House)
- Row 9 / Column 8 → 2 (Full House)
- Row 2 / Column 7 → 7 (Naked Single)
- Row 2 / Column 9 → 6 (Full House)
- Row 9 / Column 7 → 9 (Full House)
- Row 7 / Column 9 → 7 (Naked Single)
- Row 9 / Column 9 → 4 (Full House)
- Row 9 / Column 5 → 8 (Naked Single)
- Row 7 / Column 5 → 2 (Full House)
- Row 7 / Column 3 → 8 (Full House)
- Row 9 / Column 3 → 7 (Full House)
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