6
4
9
1
8
7
3
5
2
2
1
5
9
3
4
7
6
8
7
3
8
6
2
5
4
1
9
5
2
4
9
6
3
8
7
1
1
7
9
4
8
2
3
5
6
8
6
3
5
7
1
9
4
2
4
9
5
2
3
6
7
1
8
6
2
1
8
9
7
5
4
3
3
8
7
1
5
4
2
9
6
This Sudoku Puzzle has 97 steps and it is solved using Locked Candidates Type 1 (Pointing), Hidden Pair, Finned Swordfish, Locked Candidates Type 2 (Claiming), Discontinuous Nice Loop, undefined, AIC, Naked Single, Hidden Single, Empty Rectangle, Sue de Coq, 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): 3 in b8 => r9c13<>3
- Hidden Pair: 2,8 in r2c2,r3c3 => r2c2,r3c3<>4, r2c2,r3c3<>9, r3c3<>3, r3c3<>6
- Hidden Pair: 2,8 in r7c8,r9c7 => r7c8<>6, r9c7<>5, r9c7<>7
- Locked Candidates Type 1 (Pointing): 7 in b9 => r3c9<>7
- Finned Swordfish: 2 r359 c367 fr9c5 => r7c6<>2
- Hidden Pair: 2,3 in r59c6 => r59c6<>4, r59c6<>5
- Locked Candidates Type 2 (Claiming): 5 in c6 => r1c5,r2c4<>5
- Discontinuous Nice Loop: 4 r1c6 -4- r2c4 -9- r2c9 -5- r2c6 =5= r1c6 => r1c6<>4
- Discontinuous Nice Loop: 5 r2c8 -5- r2c9 -9- r2c4 -4- r3c6 -8- r3c3 -2- r3c7 =2= r2c8 => r2c8<>5
- Discontinuous Nice Loop: 1 r7c5 -1- r7c6 -4- r3c6 -8- r3c3 -2- r3c7 =2= r9c7 -2- r7c8 =2= r7c5 => r7c5<>1
- W-Wing: 5/1 in r1c6,r8c7 connected by 1 in r7c69 => r1c7<>5
- Discontinuous Nice Loop: 5 r4c9 -5- r2c9 =5= r1c8 -5- r8c8 -6- r4c8 =6= r4c9 => r4c9<>5
- Discontinuous Nice Loop: 5 r9c9 -5- r2c9 =5= r2c6 -5- r1c6 -1- r7c6 =1= r7c9 =7= r9c9 => r9c9<>5
- Locked Candidates Type 1 (Pointing): 5 in b9 => r8c5<>5
- AIC: 2 2- r3c3 -8- r3c6 -4- r7c6 -1- r7c9 =1= r8c7 =5= r8c8 =6= r4c8 =8= r7c8 =2= r2c8 -2- r2c2 =2= r4c2 -2 => r2c2,r45c3<>2
- Row 2 / Column 2 → 8 (Naked Single)
- Row 3 / Column 3 → 2 (Naked Single)
- Row 2 / Column 8 → 2 (Hidden Single)
- Row 7 / Column 8 → 8 (Naked Single)
- Row 9 / Column 7 → 2 (Naked Single)
- Row 9 / Column 6 → 3 (Naked Single)
- Row 5 / Column 6 → 2 (Naked Single)
- Row 4 / Column 2 → 2 (Hidden Single)
- Row 3 / Column 6 → 8 (Hidden Single)
- Row 9 / Column 3 → 8 (Hidden Single)
- Row 7 / Column 5 → 2 (Hidden Single)
- Row 4 / Column 7 → 8 (Hidden Single)
- Empty Rectangle: 4 in b7 (r27c6) => r2c1<>4
- Locked Candidates Type 2 (Claiming): 4 in r2 => r13c5,r3c4<>4
- Sue de Coq: r13c5 - {1679} (r469c5 - {4567}, r12c6,r2c4 - {1459}) => r3c4<>9, r8c5<>6
- AIC: 1/6 6- r1c3 =6= r8c3 -6- r8c8 -5- r8c7 -1- r8c5 =1= r1c5 -1 => r1c3<>1, r1c5<>6
- Locked Candidates Type 1 (Pointing): 1 in b1 => r5c1<>1
- Locked Candidates Type 1 (Pointing): 6 in b2 => r3c1<>6
- Discontinuous Nice Loop: 3 r1c3 -3- r1c8 =3= r3c9 -3- r4c9 -6- r4c8 =6= r8c8 -6- r8c3 =6= r1c3 => r1c3<>3
- Discontinuous Nice Loop: 4 r1c3 -4- r4c3 -3- r4c9 -6- r4c8 =6= r8c8 -6- r8c3 =6= r1c3 => r1c3<>4
- Locked Candidates Type 2 (Claiming): 4 in c3 => r45c1,r6c2<>4
- AIC: 4 4- r1c2 =4= r7c2 -4- r7c6 -1- r7c9 =1= r8c7 =5= r8c8 =6= r4c8 -6- r4c9 -3- r3c9 =3= r3c1 =4= r3c7 -4 => r1c78,r3c1<>4
- Row 3 / Column 7 → 4 (Hidden Single)
- Row 1 / Column 7 → 7 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 9 in b3 => r5c9<>9
- Naked Pair: 3,9 in r3c19 => r3c5<>9
- Discontinuous Nice Loop: 3/4/9 r6c3 =1= r6c7 -1- r8c7 =1= r8c5 =9= r1c5 -9- r2c4 -4- r5c4 =4= r5c3 =1= r6c3 => r6c3<>3, r6c3<>4, r6c3<>9
- Row 6 / Column 3 → 1 (Naked Single)
- AIC: 4 4- r2c4 -9- r7c4 =9= r8c5 =1= r8c7 =5= r8c8 =6= r4c8 -6- r4c9 -3- r4c3 -4- r5c3 =4= r5c4 -4 => r679c4<>4
- XY-Chain: 6 6- r7c4 -9- r8c5 -1- r8c7 -5- r8c8 -6 => r7c9<>6
- Sue de Coq: r7c12 - {4679} (r7c69 - {147}, r8c23 - {369}) => r9c1<>6
- AIC: 9 9- r1c3 -6- r1c1 =6= r7c1 -6- r7c4 -9- r2c4 =9= r1c5 -9 => r1c12<>9
- XY-Chain: 4 4- r1c2 -3- r1c8 -5- r8c8 -6- r9c9 -7- r9c1 -4 => r1c1,r7c2<>4
- Row 1 / Column 2 → 4 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b1 => r45c1<>3
- W-Wing: 5/9 in r2c9,r5c1 connected by 9 in r3c19 => r5c9<>5
- Row 2 / Column 9 → 5 (Hidden Single)
- Row 1 / Column 8 → 3 (Naked Single)
- Row 3 / Column 9 → 9 (Full House)
- Row 3 / Column 1 → 3 (Naked Single)
- Row 1 / Column 6 → 5 (Hidden Single)
- Sue de Coq: r7c46 - {1469} (r7c29 - {179}, r9c45 - {456}) => r7c1<>7, r7c1<>9
- XY-Chain: 9 9- r5c1 -5- r4c1 -7- r9c1 -4- r7c1 -6- r7c4 -9- r8c5 -1- r8c7 -5- r6c7 -9 => r5c7,r6c2<>9
- Row 6 / Column 7 → 9 (Hidden Single)
- Locked Candidates Type 2 (Claiming): 9 in c2 => r8c3<>9
- W-Wing: 3/6 in r4c9,r8c3 connected by 6 in r48c8 => r4c3<>3
- Row 4 / Column 3 → 4 (Naked Single)
- Row 4 / Column 9 → 3 (Hidden Single)
- Row 5 / Column 9 → 1 (Naked Single)
- Row 5 / Column 7 → 5 (Naked Single)
- Row 8 / Column 7 → 1 (Full House)
- Row 7 / Column 9 → 7 (Naked Single)
- Row 9 / Column 9 → 6 (Full House)
- Row 8 / Column 8 → 5 (Full House)
- Row 4 / Column 8 → 6 (Naked Single)
- Row 6 / Column 8 → 4 (Full House)
- Row 5 / Column 1 → 9 (Naked Single)
- Row 8 / Column 5 → 9 (Naked Single)
- Row 7 / Column 2 → 9 (Naked Single)
- Row 9 / Column 4 → 5 (Naked Single)
- Row 2 / Column 1 → 1 (Naked Single)
- Row 5 / Column 3 → 3 (Naked Single)
- Row 5 / Column 4 → 4 (Full House)
- Row 1 / Column 5 → 1 (Naked Single)
- Row 7 / Column 4 → 6 (Naked Single)
- Row 8 / Column 2 → 3 (Naked Single)
- Row 6 / Column 2 → 7 (Full House)
- Row 8 / Column 3 → 6 (Full House)
- Row 4 / Column 1 → 5 (Full House)
- Row 1 / Column 3 → 9 (Full House)
- Row 1 / Column 1 → 6 (Full House)
- Row 4 / Column 5 → 7 (Full House)
- Row 9 / Column 5 → 4 (Naked Single)
- Row 7 / Column 6 → 1 (Full House)
- Row 2 / Column 6 → 4 (Full House)
- Row 2 / Column 4 → 9 (Full House)
- Row 7 / Column 1 → 4 (Full House)
- Row 9 / Column 1 → 7 (Full House)
- Row 3 / Column 4 → 7 (Naked Single)
- Row 6 / Column 4 → 3 (Full House)
- Row 6 / Column 5 → 5 (Full House)
- Row 3 / Column 5 → 6 (Full House)
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