8
6
4
5
1
2
9
7
3
5
9
7
3
8
6
1
4
2
2
3
1
4
9
7
6
8
5
2
5
8
7
4
6
3
9
1
7
6
3
8
1
9
2
5
4
1
4
9
5
2
3
7
6
8
6
2
5
4
8
9
1
3
7
9
3
1
6
7
5
4
2
8
8
7
4
3
1
2
9
5
6
This Sudoku Puzzle has 61 steps and it is solved using Naked Single, Hidden Single, Full House, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), undefined, Uniqueness Test 4, AIC techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 6 / Column 4 → 2 (Naked Single)
- Row 5 / Column 5 → 1 (Naked Single)
- Row 8 / Column 4 → 6 (Naked Single)
- Row 6 / Column 3 → 1 (Hidden Single)
- Row 6 / Column 8 → 6 (Hidden Single)
- Row 5 / Column 8 → 2 (Naked Single)
- Row 4 / Column 8 → 4 (Full House)
- Locked Candidates Type 1 (Pointing): 5 in b4 => r4c6<>5
- Locked Candidates Type 1 (Pointing): 7 in b5 => r4c123<>7
- Locked Candidates Type 1 (Pointing): 9 in b9 => r13c7<>9
- Locked Candidates Type 2 (Claiming): 7 in c2 => r1c13,r23c3,r3c1<>7
- X-Wing: 1 r19 c19 => r28c9,r7c1<>1
- Row 8 / Column 9 → 2 (Naked Single)
- Uniqueness Test 4: 6/7 in r5c13,r9c13 => r9c13<>6
- Locked Candidates Type 1 (Pointing): 6 in b7 => r7c7<>6
- XY-Chain: 7 7- r2c9 -6- r9c9 -1- r8c8 -8- r7c7 -9- r7c4 -3- r4c4 -7 => r2c4<>7
- Row 4 / Column 4 → 7 (Hidden Single)
- Row 4 / Column 6 → 3 (Naked Single)
- XY-Chain: 9 9- r7c4 -3- r2c4 -9- r2c8 -1- r8c8 -8- r7c7 -9 => r7c5<>9
- AIC: 8 8- r7c7 -9- r7c4 =9= r2c4 -9- r1c5 =9= r1c1 =1= r1c9 -1- r9c9 =1= r8c8 =8= r8c2 -8 => r7c123,r8c8<>8
- Row 8 / Column 8 → 1 (Naked Single)
- Row 2 / Column 8 → 9 (Naked Single)
- Row 3 / Column 8 → 8 (Full House)
- Row 8 / Column 6 → 5 (Naked Single)
- Row 8 / Column 2 → 8 (Full House)
- Row 9 / Column 9 → 6 (Naked Single)
- Row 2 / Column 4 → 3 (Naked Single)
- Row 7 / Column 4 → 9 (Full House)
- Row 1 / Column 7 → 2 (Naked Single)
- Row 6 / Column 6 → 4 (Naked Single)
- Row 6 / Column 5 → 5 (Full House)
- Row 2 / Column 9 → 7 (Naked Single)
- Row 1 / Column 9 → 1 (Full House)
- Row 3 / Column 7 → 6 (Full House)
- Row 9 / Column 7 → 9 (Naked Single)
- Row 7 / Column 7 → 8 (Full House)
- Row 2 / Column 3 → 2 (Naked Single)
- Row 9 / Column 5 → 2 (Naked Single)
- Row 1 / Column 6 → 7 (Naked Single)
- Row 2 / Column 2 → 1 (Naked Single)
- Row 2 / Column 6 → 6 (Full House)
- Row 3 / Column 1 → 9 (Naked Single)
- Row 3 / Column 2 → 7 (Naked Single)
- Row 9 / Column 3 → 7 (Naked Single)
- Row 9 / Column 1 → 1 (Full House)
- Row 7 / Column 5 → 3 (Naked Single)
- Row 7 / Column 6 → 1 (Full House)
- Row 3 / Column 6 → 2 (Full House)
- Row 1 / Column 1 → 8 (Naked Single)
- Row 3 / Column 5 → 4 (Naked Single)
- Row 1 / Column 5 → 9 (Full House)
- Row 1 / Column 3 → 4 (Full House)
- Row 3 / Column 3 → 3 (Full House)
- Row 5 / Column 3 → 6 (Naked Single)
- Row 5 / Column 1 → 7 (Full House)
- Row 4 / Column 1 → 2 (Naked Single)
- Row 7 / Column 1 → 6 (Full House)
- Row 7 / Column 3 → 5 (Naked Single)
- Row 4 / Column 3 → 8 (Full House)
- Row 4 / Column 2 → 5 (Full House)
- Row 7 / Column 2 → 2 (Full House)
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