8
1
9
7
3
6
1
9
7
8
3
4
1
8
8
6
1
2
5
1
7
4
3
9
This Sudoku Puzzle has 75 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), undefined, Empty Rectangle, AIC, Naked Triple, Naked Pair, Locked Candidates Type 2 (Claiming), Continuous Nice Loop, Discontinuous Nice Loop, Naked Single, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 1 / Column 1 → 3 (Hidden Single)
- Row 3 / Column 5 → 1 (Hidden Single)
- Row 7 / Column 3 → 3 (Hidden Single)
- Row 9 / Column 6 → 3 (Hidden Single)
- Row 4 / Column 5 → 3 (Hidden Single)
- Row 5 / Column 7 → 3 (Hidden Single)
- Row 3 / Column 9 → 3 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 6 in b1 => r789c2<>6
- Locked Candidates Type 1 (Pointing): 7 in b2 => r1c89<>7
- Locked Candidates Type 1 (Pointing): 7 in b5 => r5c8<>7
- Locked Candidates Type 1 (Pointing): 4 in b8 => r13c4<>4
- 2-String Kite: 8 in r3c7,r8c5 (connected by r2c5,r3c4) => r8c7<>8
- Locked Candidates Type 1 (Pointing): 8 in b9 => r2c9<>8
- Empty Rectangle: 6 in b7 (r68c5) => r6c1<>6
- AIC: 6 6- r6c5 =6= r8c5 =8= r2c5 -8- r2c7 =8= r3c7 =6= r8c7 -6- r9c8 =6= r9c4 -6 => r4c4,r8c5<>6
- Row 6 / Column 5 → 6 (Hidden Single)
- Naked Triple: 2,5,9 in r4c467 => r4c19<>2, r4c139<>5, r4c39<>9
- Row 6 / Column 9 → 9 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 9 in b4 => r5c46<>9
- Naked Pair: 4,5 in r26c3 => r48c3<>4, r58c3<>5
- 2-String Kite: 4 in r2c3,r4c9 (connected by r4c1,r6c3) => r2c9<>4
- Locked Candidates Type 2 (Claiming): 4 in r2 => r13c2<>4
- Locked Candidates Type 2 (Claiming): 4 in c2 => r8c1<>4
- Continuous Nice Loop: 2/5/6/7 7= r6c8 =4= r4c9 -4- r4c1 -6- r7c1 -7- r7c8 =7= r6c8 =4 => r6c8<>2, r6c8<>5, r8c1<>6, r7c9<>7
- XY-Chain: 5 5- r6c3 -4- r4c1 -6- r7c1 -7- r8c1 -5 => r6c1<>5
- Discontinuous Nice Loop: 2/5 r2c9 =7= r2c7 =8= r3c7 =6= r8c7 -6- r8c3 =6= r7c1 =7= r7c8 -7- r8c9 =7= r2c9 => r2c9<>2, r2c9<>5
- Row 2 / Column 9 → 7 (Naked Single)
- Discontinuous Nice Loop: 2/5/6 r8c7 =7= r6c7 -7- r6c8 -4- r4c9 -1- r7c9 =1= r7c8 =7= r8c7 => r8c7<>2, r8c7<>5, r8c7<>6
- Row 8 / Column 7 → 7 (Naked Single)
- Row 8 / Column 1 → 5 (Naked Single)
- Row 3 / Column 7 → 6 (Hidden Single)
- Row 6 / Column 8 → 7 (Hidden Single)
- Row 7 / Column 1 → 7 (Hidden Single)
- Row 1 / Column 2 → 6 (Hidden Single)
- Row 3 / Column 4 → 8 (Hidden Single)
- Row 2 / Column 5 → 2 (Naked Single)
- Row 1 / Column 5 → 9 (Naked Single)
- Row 8 / Column 5 → 8 (Full House)
- Row 2 / Column 1 → 4 (Naked Single)
- Row 8 / Column 9 → 2 (Naked Single)
- Row 2 / Column 3 → 5 (Naked Single)
- Row 2 / Column 7 → 8 (Full House)
- Row 3 / Column 2 → 2 (Full House)
- Row 4 / Column 1 → 6 (Naked Single)
- Row 6 / Column 1 → 2 (Full House)
- Row 6 / Column 3 → 4 (Naked Single)
- Row 6 / Column 7 → 5 (Full House)
- Row 4 / Column 7 → 2 (Full House)
- Row 4 / Column 3 → 1 (Naked Single)
- Row 5 / Column 8 → 1 (Naked Single)
- Row 4 / Column 9 → 4 (Full House)
- Row 5 / Column 3 → 9 (Naked Single)
- Row 5 / Column 2 → 5 (Full House)
- Row 8 / Column 3 → 6 (Full House)
- Row 7 / Column 8 → 6 (Naked Single)
- Row 1 / Column 9 → 5 (Naked Single)
- Row 9 / Column 8 → 5 (Naked Single)
- Row 1 / Column 4 → 7 (Naked Single)
- Row 3 / Column 8 → 4 (Naked Single)
- Row 1 / Column 8 → 2 (Full House)
- Row 1 / Column 6 → 4 (Full House)
- Row 3 / Column 6 → 5 (Full House)
- Row 9 / Column 9 → 8 (Naked Single)
- Row 7 / Column 9 → 1 (Full House)
- Row 5 / Column 4 → 2 (Naked Single)
- Row 5 / Column 6 → 7 (Full House)
- Row 4 / Column 6 → 9 (Naked Single)
- Row 4 / Column 4 → 5 (Full House)
- Row 7 / Column 6 → 2 (Full House)
- Row 9 / Column 2 → 4 (Naked Single)
- Row 9 / Column 4 → 6 (Full House)
- Row 7 / Column 4 → 9 (Naked Single)
- Row 7 / Column 2 → 8 (Full House)
- Row 8 / Column 2 → 9 (Full House)
- Row 8 / Column 4 → 4 (Full House)
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