1
9
3
7
8
5
4
2
6
5
2
8
6
4
3
7
1
9
4
7
6
2
9
1
3
8
5
6
3
1
9
4
8
2
5
7
9
7
4
1
5
2
3
8
6
8
5
2
6
3
7
9
1
4
8
7
2
3
1
9
5
6
4
4
3
1
2
6
5
8
9
7
5
6
9
7
4
8
1
2
3
This Sudoku Puzzle has 83 steps and it is solved using Locked Candidates Type 1 (Pointing), Naked Pair, Locked Candidates Type 2 (Claiming), Hidden Pair, Hidden Triple, undefined, Finned Swordfish, AIC, Locked Triple, Hidden Single, Naked Single, Skyscraper, Full House, Bivalue Universal Grave + 1 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): 5 in b3 => r3c4<>5
- Locked Candidates Type 1 (Pointing): 4 in b5 => r4c8<>4
- Locked Candidates Type 1 (Pointing): 7 in b6 => r5c4<>7
- Locked Candidates Type 1 (Pointing): 7 in b7 => r23c2<>7
- Naked Pair: 1,4 in r47c6 => r258c6<>1, r8c6<>4
- Locked Candidates Type 2 (Claiming): 4 in r8 => r7c89,r9c789<>4
- Hidden Pair: 6,7 in r2c14 => r2c1<>2, r2c1<>9, r2c4<>1, r2c4<>8
- Locked Candidates Type 1 (Pointing): 9 in b1 => r46c2<>9
- Locked Candidates Type 1 (Pointing): 1 in b2 => r3c79<>1
- Hidden Pair: 6,7 in r58c7 => r5c7<>3, r5c7<>9, r8c7<>1, r8c7<>4
- Hidden Triple: 1,6,7 in r23c4,r3c5 => r3c45<>8, r3c5<>2
- 2-String Kite: 1 in r5c3,r7c6 (connected by r4c6,r5c4) => r7c3<>1
- Finned Swordfish: 6 r247 c148 fr4c3 => r5c1<>6
- AIC: 9 9- r5c1 -2- r5c6 -8- r8c6 -5- r8c2 =5= r9c1 =4= r3c1 -4- r1c3 =4= r1c7 -4- r6c7 -9 => r5c89,r6c1<>9
- Locked Triple: 3,6,7 in r5c789 => r4c8,r5c3<>3, r4c8,r5c3<>6
- AIC: 2 2- r1c5 -8- r1c4 -5- r9c4 =5= r9c1 -5- r6c1 -2- r6c5 =2= r5c6 -2 => r12c6,r6c5<>2
- Row 5 / Column 6 → 2 (Hidden Single)
- Row 5 / Column 1 → 9 (Naked Single)
- Row 1 / Column 5 → 2 (Hidden Single)
- AIC: 7 7- r5c9 -3- r5c8 -6- r7c8 =6= r7c4 -6- r2c4 =6= r2c1 -6- r4c1 -5- r9c1 =5= r9c4 -5- r1c4 -8- r5c4 -1- r3c4 =1= r3c5 =6= r8c5 -6- r8c7 -7 => r5c7,r78c9<>7
- Row 5 / Column 7 → 6 (Naked Single)
- Row 5 / Column 8 → 3 (Naked Single)
- Row 8 / Column 7 → 7 (Naked Single)
- Row 5 / Column 9 → 7 (Naked Single)
- Row 7 / Column 2 → 7 (Hidden Single)
- Skyscraper: 1 in r7c6,r8c2 (connected by r4c26) => r8c5<>1
- XY-Chain: 9 9- r6c5 -8- r5c4 -1- r4c6 -4- r7c6 -1- r7c9 -9 => r6c9<>9
- XY-Chain: 9 9- r4c8 -5- r6c9 -4- r6c7 -9- r6c5 -8- r5c4 -1- r4c6 -4- r7c6 -1- r7c9 -9 => r79c8<>9
- AIC: 1 1- r4c2 =1= r8c2 =5= r9c1 =4= r3c1 -4- r1c3 =4= r1c7 -4- r6c7 -9- r6c5 -8- r5c4 -1 => r4c456,r5c3<>1
- Row 4 / Column 6 → 4 (Naked Single)
- Row 5 / Column 3 → 8 (Naked Single)
- Row 5 / Column 4 → 1 (Full House)
- Row 7 / Column 6 → 1 (Naked Single)
- Row 7 / Column 9 → 9 (Naked Single)
- Row 6 / Column 5 → 8 (Hidden Single)
- Row 8 / Column 5 → 6 (Naked Single)
- Row 9 / Column 5 → 9 (Naked Single)
- Row 7 / Column 4 → 4 (Naked Single)
- Row 4 / Column 5 → 7 (Naked Single)
- Row 3 / Column 5 → 1 (Full House)
- Row 4 / Column 4 → 9 (Full House)
- Row 7 / Column 3 → 2 (Naked Single)
- Row 7 / Column 8 → 6 (Full House)
- Row 4 / Column 8 → 5 (Naked Single)
- Row 4 / Column 1 → 6 (Naked Single)
- Row 6 / Column 9 → 4 (Naked Single)
- Row 6 / Column 7 → 9 (Full House)
- Row 2 / Column 1 → 7 (Naked Single)
- Row 2 / Column 4 → 6 (Naked Single)
- Row 3 / Column 4 → 7 (Naked Single)
- Row 2 / Column 8 → 9 (Hidden Single)
- Row 3 / Column 9 → 5 (Hidden Single)
- Row 3 / Column 3 → 6 (Hidden Single)
- Row 8 / Column 8 → 4 (Hidden Single)
- Row 1 / Column 2 → 9 (Hidden Single)
- Locked Candidates Type 2 (Claiming): 8 in r1 => r2c6<>8
- Row 2 / Column 6 → 3 (Naked Single)
- Row 9 / Column 9 → 3 (Hidden Single)
- Naked Pair: 1,2 in r29c7 => r3c7<>2
- Bivalue Universal Grave + 1 => r3c2<>3, r3c2<>8
- Row 3 / Column 2 → 2 (Naked Single)
- Row 2 / Column 2 → 8 (Naked Single)
- Row 3 / Column 1 → 4 (Naked Single)
- Row 1 / Column 3 → 3 (Full House)
- Row 3 / Column 8 → 8 (Naked Single)
- Row 3 / Column 7 → 3 (Full House)
- Row 9 / Column 8 → 2 (Full House)
- Row 6 / Column 2 → 5 (Naked Single)
- Row 6 / Column 1 → 2 (Full House)
- Row 9 / Column 1 → 5 (Full House)
- Row 2 / Column 9 → 1 (Naked Single)
- Row 2 / Column 7 → 2 (Full House)
- Row 1 / Column 7 → 4 (Full House)
- Row 9 / Column 7 → 1 (Full House)
- Row 8 / Column 9 → 8 (Full House)
- Row 4 / Column 3 → 1 (Naked Single)
- Row 9 / Column 3 → 4 (Full House)
- Row 8 / Column 2 → 1 (Full House)
- Row 9 / Column 4 → 8 (Full House)
- Row 8 / Column 6 → 5 (Full House)
- Row 4 / Column 2 → 3 (Full House)
- Row 1 / Column 4 → 5 (Full House)
- Row 1 / Column 6 → 8 (Full House)
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