8
4
5
6
2
7
9
1
3
6
1
9
5
3
4
2
7
8
3
2
7
9
1
8
6
5
4
5
9
1
4
7
6
2
3
8
4
2
3
8
9
1
7
5
6
7
8
6
2
3
5
4
9
1
3
6
4
7
5
9
1
8
2
9
8
5
1
6
2
3
4
7
1
7
2
8
4
3
5
6
9
This Sudoku Puzzle has 65 steps and it is solved using Hidden Single, Naked Single, Locked Pair, Locked Candidates Type 1 (Pointing), Hidden Pair, undefined, Uniqueness Test 3, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 4 / Column 3 → 1 (Hidden Single)
- Row 1 / Column 1 → 8 (Hidden Single)
- Row 7 / Column 5 → 8 (Hidden Single)
- Row 6 / Column 3 → 8 (Hidden Single)
- Row 6 / Column 8 → 9 (Naked Single)
- Row 4 / Column 8 → 8 (Naked Single)
- Row 2 / Column 9 → 8 (Hidden Single)
- Row 8 / Column 7 → 8 (Hidden Single)
- Locked Pair: 5,7 in r6c45 => r4c4,r5c5,r6c2<>7, r5c5<>5
- Locked Pair: 6,7 in r4c79 => r4c26,r5c79<>6, r4c2,r5c79<>7
- Row 6 / Column 6 → 6 (Hidden Single)
- Row 6 / Column 2 → 3 (Naked Single)
- Row 4 / Column 2 → 9 (Naked Single)
- Row 4 / Column 4 → 4 (Naked Single)
- Row 4 / Column 6 → 3 (Naked Single)
- Row 5 / Column 5 → 9 (Naked Single)
- Locked Candidates Type 1 (Pointing): 5 in b9 => r9c3<>5
- Hidden Pair: 1,5 in r1c5,r2c4 => r1c5,r2c4<>7, r2c4<>2, r2c4<>9
- Locked Candidates Type 1 (Pointing): 7 in b2 => r3c1379<>7
- X-Wing: 4 c68 r28 => r8c13<>4
- Uniqueness Test 3: 2/5 in r5c79,r9c79 => r9c3<>4, r9c3<>9
- Row 9 / Column 3 → 2 (Naked Single)
- Row 7 / Column 2 → 6 (Naked Single)
- Row 5 / Column 2 → 7 (Naked Single)
- Row 5 / Column 1 → 4 (Naked Single)
- Row 5 / Column 3 → 6 (Full House)
- Row 8 / Column 2 → 5 (Naked Single)
- Row 2 / Column 2 → 2 (Full House)
- Row 8 / Column 1 → 7 (Hidden Single)
- Row 8 / Column 3 → 9 (Naked Single)
- Row 3 / Column 3 → 3 (Naked Single)
- Row 9 / Column 1 → 1 (Naked Single)
- Row 3 / Column 1 → 9 (Naked Single)
- Row 7 / Column 1 → 3 (Full House)
- Row 7 / Column 3 → 4 (Full House)
- Row 9 / Column 5 → 4 (Naked Single)
- Row 3 / Column 5 → 7 (Naked Single)
- Row 8 / Column 6 → 2 (Naked Single)
- Row 3 / Column 4 → 2 (Naked Single)
- Row 6 / Column 5 → 5 (Naked Single)
- Row 1 / Column 5 → 1 (Full House)
- Row 6 / Column 4 → 7 (Full House)
- Row 1 / Column 6 → 9 (Naked Single)
- Row 2 / Column 6 → 4 (Full House)
- Row 2 / Column 4 → 5 (Full House)
- Row 8 / Column 4 → 1 (Naked Single)
- Row 7 / Column 4 → 9 (Full House)
- Row 8 / Column 8 → 4 (Full House)
- Row 3 / Column 7 → 6 (Naked Single)
- Row 3 / Column 9 → 4 (Full House)
- Row 1 / Column 8 → 2 (Naked Single)
- Row 2 / Column 8 → 1 (Full House)
- Row 2 / Column 3 → 7 (Naked Single)
- Row 1 / Column 3 → 5 (Full House)
- Row 2 / Column 7 → 9 (Full House)
- Row 7 / Column 9 → 2 (Naked Single)
- Row 7 / Column 7 → 1 (Full House)
- Row 4 / Column 7 → 7 (Naked Single)
- Row 4 / Column 9 → 6 (Full House)
- Row 1 / Column 9 → 7 (Naked Single)
- Row 1 / Column 7 → 3 (Full House)
- Row 9 / Column 7 → 5 (Naked Single)
- Row 5 / Column 7 → 2 (Full House)
- Row 5 / Column 9 → 5 (Full House)
- Row 9 / Column 9 → 9 (Full House)
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