3
4
2
5
6
7
8
9
1
8
7
6
4
9
1
2
5
3
9
5
1
2
8
3
6
4
7
9
2
5
4
7
6
1
3
8
1
4
7
9
3
8
6
2
5
8
3
6
1
2
5
4
7
9
2
5
9
7
8
4
6
1
3
7
1
4
3
6
9
5
8
2
3
6
8
5
1
2
7
9
4
This Sudoku Puzzle has 67 steps and it is solved using Naked Single, Full House, Hidden Single, Locked Candidates Type 1 (Pointing), undefined, AIC, Continuous Nice Loop techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 6 / Column 3 → 8 (Naked Single)
- Row 4 / Column 3 → 5 (Naked Single)
- Row 2 / Column 3 → 7 (Naked Single)
- Row 4 / Column 1 → 9 (Naked Single)
- Row 9 / Column 3 → 3 (Naked Single)
- Row 8 / Column 3 → 4 (Full House)
- Row 4 / Column 2 → 2 (Naked Single)
- Row 6 / Column 1 → 1 (Naked Single)
- Row 5 / Column 2 → 7 (Full House)
- Row 7 / Column 6 → 4 (Hidden Single)
- Row 9 / Column 8 → 9 (Hidden Single)
- Row 3 / Column 9 → 7 (Hidden Single)
- Row 8 / Column 1 → 7 (Hidden Single)
- Row 8 / Column 4 → 3 (Hidden Single)
- Row 7 / Column 4 → 7 (Hidden Single)
- Row 9 / Column 4 → 5 (Hidden Single)
- Row 2 / Column 1 → 5 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 2 in b9 => r8c5<>2
- Finned X-Wing: 2 c48 r35 fr6c4 => r5c6<>2
- Row 5 / Column 6 → 8 (Naked Single)
- Finned X-Wing: 6 c16 r39 fr1c6 fr2c6 => r3c4<>6
- AIC: 4 4- r4c5 -6- r6c4 =6= r1c4 =8= r1c2 =4= r3c2 =9= r3c4 -9- r2c5 =9= r6c5 =4= r6c7 -4 => r4c78,r6c5<>4
- Row 4 / Column 5 → 4 (Hidden Single)
- Row 6 / Column 7 → 4 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 6 in b5 => r6c9<>6
- Continuous Nice Loop: 2/3/6/8/9 9= r3c2 =4= r3c8 =2= r5c8 -2- r5c4 -9- r3c4 =9= r3c2 =4 => r5c79<>2, r3c8<>3, r3c28<>6, r3c2<>8, r6c4<>9
- Row 3 / Column 6 → 3 (Hidden Single)
- Row 4 / Column 8 → 3 (Hidden Single)
- Row 2 / Column 9 → 3 (Hidden Single)
- W-Wing: 6/8 in r4c9,r8c5 connected by 8 in r48c7 => r8c9<>6
- XY-Chain: 6 6- r2c2 -9- r3c2 -4- r3c8 -2- r3c7 -6- r3c1 -8- r9c1 -6 => r3c1,r789c2<>6
- Row 3 / Column 1 → 8 (Naked Single)
- Row 9 / Column 1 → 6 (Full House)
- Row 3 / Column 7 → 6 (Hidden Single)
- Row 4 / Column 7 → 8 (Naked Single)
- Row 4 / Column 9 → 6 (Full House)
- Row 1 / Column 4 → 8 (Hidden Single)
- Row 7 / Column 8 → 6 (Hidden Single)
- Row 8 / Column 5 → 6 (Hidden Single)
- Row 6 / Column 4 → 6 (Hidden Single)
- W-Wing: 1/5 in r1c9,r5c7 connected by 5 in r15c8 => r2c7,r5c9<>1
- Row 2 / Column 7 → 2 (Naked Single)
- Row 3 / Column 8 → 4 (Naked Single)
- Row 8 / Column 7 → 5 (Naked Single)
- Row 5 / Column 7 → 1 (Full House)
- Row 1 / Column 8 → 5 (Naked Single)
- Row 1 / Column 9 → 1 (Full House)
- Row 5 / Column 8 → 2 (Full House)
- Row 3 / Column 2 → 9 (Naked Single)
- Row 3 / Column 4 → 2 (Full House)
- Row 5 / Column 4 → 9 (Full House)
- Row 5 / Column 9 → 5 (Full House)
- Row 6 / Column 9 → 9 (Full House)
- Row 6 / Column 5 → 2 (Full House)
- Row 7 / Column 9 → 8 (Naked Single)
- Row 8 / Column 9 → 2 (Full House)
- Row 8 / Column 2 → 8 (Full House)
- Row 1 / Column 6 → 6 (Naked Single)
- Row 1 / Column 2 → 4 (Full House)
- Row 2 / Column 2 → 6 (Full House)
- Row 7 / Column 5 → 1 (Naked Single)
- Row 7 / Column 2 → 5 (Full House)
- Row 9 / Column 2 → 1 (Full House)
- Row 2 / Column 6 → 1 (Naked Single)
- Row 2 / Column 5 → 9 (Full House)
- Row 9 / Column 5 → 8 (Full House)
- Row 9 / Column 6 → 2 (Full House)
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