2
1
4
6
3
8
5
7
9
8
9
3
7
2
5
1
4
6
7
5
6
1
9
4
8
3
2
8
9
1
3
4
6
7
5
2
3
5
4
2
7
1
6
8
9
6
2
7
9
8
5
3
4
1
4
6
5
9
8
7
1
2
3
9
3
7
4
1
2
5
6
8
2
1
8
5
6
3
4
7
9
This Sudoku Puzzle has 88 steps and it is solved using Locked Candidates Type 1 (Pointing), Hidden Pair, undefined, Finned Swordfish, Discontinuous Nice Loop, Naked Single, Locked Candidates Type 2 (Claiming), Hidden Rectangle, Hidden Single, Continuous Nice Loop, Naked Pair, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Locked Candidates Type 1 (Pointing): 6 in b5 => r6c79<>6
- Locked Candidates Type 1 (Pointing): 9 in b5 => r6c13<>9
- Hidden Pair: 6,9 in r6c46 => r6c46<>1, r6c4<>2, r6c46<>8
- XYZ-Wing: 1/5/8 in r48c5,r5c6 => r6c5<>1
- Finned X-Wing: 5 c57 r48 fr7c7 fr9c7 => r8c9<>5
- Finned Swordfish: 5 r159 c489 fr9c7 => r7c8<>5
- Discontinuous Nice Loop: 1/8 r4c5 =5= r8c5 -5- r8c3 =5= r7c3 =2= r6c3 -2- r6c5 =2= r5c4 =5= r4c5 => r4c5<>1, r4c5<>8
- Row 4 / Column 5 → 5 (Naked Single)
- Row 8 / Column 5 → 1 (Naked Single)
- Row 3 / Column 5 → 4 (Naked Single)
- Locked Candidates Type 1 (Pointing): 1 in b5 => r5c289<>1
- Locked Candidates Type 2 (Claiming): 8 in r4 => r6c13<>8
- Locked Candidates Type 2 (Claiming): 5 in c7 => r9c89<>5
- Hidden Rectangle: 4/5 in r1c89,r5c89 => r1c8<>4
- Discontinuous Nice Loop: 7 r4c1 -7- r6c1 -4- r5c2 -2- r5c4 =2= r2c4 -2- r2c5 -8- r2c1 =8= r4c1 => r4c1<>7
- Discontinuous Nice Loop: 8 r2c1 -8- r2c5 -2- r2c4 =2= r5c4 -2- r5c2 -4- r6c1 -7- r8c1 -9- r4c1 -8- r2c1 => r2c1<>8
- Row 4 / Column 1 → 8 (Hidden Single)
- Discontinuous Nice Loop: 1 r5c4 -1- r5c6 -8- r9c6 =8= r9c4 =5= r9c7 =2= r9c2 -2- r5c2 =2= r5c4 => r5c4<>1
- Row 5 / Column 6 → 1 (Hidden Single)
- Discontinuous Nice Loop: 7 r6c8 -7- r6c1 -4- r5c2 -2- r5c4 -8- r5c8 =8= r6c8 => r6c8<>7
- Locked Candidates Type 1 (Pointing): 7 in b6 => r89c9<>7
- Locked Candidates Type 2 (Claiming): 7 in r8 => r7c123,r9c2<>7
- Continuous Nice Loop: 4/7/9 5= r7c3 =2= r6c3 -2- r5c2 -4- r6c1 -7- r8c1 =7= r8c3 =5= r7c3 =2 => r7c3<>4, r2c1<>7, r78c3<>9
- Discontinuous Nice Loop: 7/8/9 r9c4 =5= r9c7 =2= r9c2 -2- r7c3 -5- r7c4 =5= r9c4 => r9c4<>7, r9c4<>8, r9c4<>9
- Row 9 / Column 4 → 5 (Naked Single)
- Row 9 / Column 6 → 8 (Hidden Single)
- Row 9 / Column 8 → 7 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 9 in b8 => r7c128<>9
- Locked Candidates Type 1 (Pointing): 9 in b9 => r2c9<>9
- XYZ-Wing: 2/4/6 in r57c2,r7c1 => r9c2<>4
- Locked Candidates Type 1 (Pointing): 4 in b7 => r7c78<>4
- Row 7 / Column 8 → 1 (Naked Single)
- Naked Pair: 2,5 in r7c37 => r7c2<>2
- XY-Wing: 2/9/4 in r59c2,r9c9 => r5c9<>4
- Row 5 / Column 9 → 5 (Naked Single)
- Row 1 / Column 8 → 5 (Hidden Single)
- XY-Chain: 4 4- r5c2 -2- r9c2 -9- r8c1 -7- r6c1 -4- r7c1 -6- r7c2 -4 => r12c2<>4
- XY-Chain: 4 4- r6c1 -7- r8c1 -9- r9c2 -2- r5c2 -4- r7c2 -6- r7c1 -4 => r2c1<>4
- Locked Candidates Type 1 (Pointing): 4 in b1 => r6c3<>4
- Hidden Pair: 4,8 in r12c3 => r12c3<>1, r2c3<>7, r2c3<>9
- XY-Chain: 4 4- r2c3 -8- r2c5 -2- r6c5 -8- r5c4 -2- r5c2 -4- r6c1 -7- r8c1 -9- r9c2 -2- r9c7 -4 => r2c7<>4
- XY-Chain: 4 4- r6c1 -7- r8c1 -9- r9c2 -2- r9c7 -4 => r6c7<>4
- Row 9 / Column 7 → 4 (Hidden Single)
- Row 9 / Column 9 → 9 (Naked Single)
- Row 9 / Column 2 → 2 (Full House)
- Row 8 / Column 9 → 3 (Naked Single)
- Row 5 / Column 2 → 4 (Naked Single)
- Row 7 / Column 3 → 5 (Naked Single)
- Row 8 / Column 7 → 5 (Naked Single)
- Row 7 / Column 7 → 2 (Full House)
- Row 5 / Column 8 → 8 (Naked Single)
- Row 5 / Column 4 → 2 (Full House)
- Row 6 / Column 1 → 7 (Naked Single)
- Row 7 / Column 2 → 6 (Naked Single)
- Row 8 / Column 3 → 7 (Naked Single)
- Row 8 / Column 1 → 9 (Full House)
- Row 7 / Column 1 → 4 (Full House)
- Row 2 / Column 1 → 6 (Full House)
- Row 6 / Column 5 → 8 (Naked Single)
- Row 2 / Column 5 → 2 (Full House)
- Row 6 / Column 3 → 2 (Hidden Single)
- Row 4 / Column 9 → 7 (Hidden Single)
- Row 4 / Column 7 → 6 (Hidden Single)
- Row 1 / Column 9 → 6 (Hidden Single)
- Row 1 / Column 6 → 3 (Naked Single)
- Row 1 / Column 2 → 1 (Naked Single)
- Row 1 / Column 4 → 8 (Naked Single)
- Row 1 / Column 3 → 4 (Full House)
- Row 3 / Column 3 → 9 (Naked Single)
- Row 4 / Column 2 → 9 (Naked Single)
- Row 4 / Column 3 → 1 (Full House)
- Row 2 / Column 3 → 8 (Full House)
- Row 3 / Column 8 → 3 (Naked Single)
- Row 2 / Column 7 → 1 (Naked Single)
- Row 6 / Column 7 → 3 (Full House)
- Row 3 / Column 2 → 7 (Naked Single)
- Row 2 / Column 2 → 3 (Full House)
- Row 6 / Column 8 → 4 (Naked Single)
- Row 2 / Column 8 → 9 (Full House)
- Row 2 / Column 9 → 4 (Full House)
- Row 2 / Column 4 → 7 (Full House)
- Row 6 / Column 9 → 1 (Full House)
- Row 3 / Column 6 → 6 (Naked Single)
- Row 3 / Column 4 → 1 (Full House)
- Row 7 / Column 4 → 9 (Naked Single)
- Row 6 / Column 4 → 6 (Full House)
- Row 6 / Column 6 → 9 (Full House)
- Row 7 / Column 6 → 7 (Full House)
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