4
1
6
8
7
5
9
2
3
5
2
8
1
9
3
7
4
6
7
9
3
4
2
6
5
1
8
7
9
1
2
6
4
3
5
8
8
6
5
3
1
9
2
7
4
2
3
4
8
5
7
9
6
1
5
3
9
1
4
2
6
8
7
4
8
1
6
5
7
9
3
2
6
7
2
3
8
9
1
4
5
This Sudoku Puzzle has 75 steps and it is solved using Hidden Single, Locked Triple, Locked Candidates Type 1 (Pointing), Naked Single, Locked Candidates Type 2 (Claiming), undefined, AIC, Full House, Empty Rectangle, Hidden Rectangle, Finned Swordfish techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 9 / Column 7 → 1 (Hidden Single)
- Row 9 / Column 5 → 3 (Hidden Single)
- Locked Triple: 2,4,6 in r5c123 => r5c45,r6c2<>2, r46c2,r5c4579<>4, r46c2,r5c457<>6
- Locked Candidates Type 1 (Pointing): 9 in b4 => r238c2<>9
- Row 2 / Column 5 → 9 (Hidden Single)
- Row 8 / Column 9 → 9 (Hidden Single)
- Row 4 / Column 2 → 9 (Hidden Single)
- Row 6 / Column 2 → 5 (Naked Single)
- Row 6 / Column 7 → 9 (Hidden Single)
- Row 4 / Column 6 → 5 (Hidden Single)
- Row 7 / Column 7 → 6 (Hidden Single)
- Row 8 / Column 4 → 6 (Hidden Single)
- Row 3 / Column 7 → 5 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b5 => r2c4<>3
- Locked Candidates Type 2 (Claiming): 4 in c7 => r13c9,r2c8<>4
- 2-String Kite: 8 in r3c5,r5c7 (connected by r1c7,r3c9) => r5c5<>8
- XYZ-Wing: 4/6/7 in r59c3,r8c2 => r7c3<>4
- AIC: 2 2- r3c2 -4- r8c2 -7- r8c6 =7= r6c6 -7- r5c5 -1- r1c5 =1= r1c2 =6= r5c2 =2= r5c1 -2 => r13c1,r5c2<>2
- Row 5 / Column 1 → 2 (Hidden Single)
- W-Wing: 4/6 in r1c1,r5c3 connected by 6 in r9c13 => r13c3<>4
- AIC: 1 1- r1c2 =1= r1c5 -1- r5c5 -7- r6c6 -4- r2c6 -3- r2c8 =3= r4c8 -3- r4c4 =3= r5c4 =1= r2c4 -1 => r1c5,r2c2<>1
- Row 1 / Column 2 → 1 (Hidden Single)
- Row 5 / Column 5 → 1 (Hidden Single)
- Row 2 / Column 4 → 1 (Hidden Single)
- Row 5 / Column 2 → 6 (Hidden Single)
- Row 5 / Column 3 → 4 (Full House)
- Row 6 / Column 4 → 2 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 7 in b5 => r6c8<>7
- Empty Rectangle: 4 in b6 (r47c4) => r7c8<>4
- Hidden Rectangle: 4/6 in r4c58,r6c58 => r4c5<>4
- Finned Swordfish: 7 r159 c379 fr9c8 => r7c9<>7
- AIC: 3 3- r4c8 =3= r2c8 -3- r2c6 -4- r2c7 -7- r5c7 -8- r5c4 -3 => r4c4,r5c9<>3
- Row 5 / Column 4 → 3 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 8 in b5 => r4c89<>8
- Locked Candidates Type 2 (Claiming): 8 in c8 => r7c9<>8
- AIC: 6 6- r4c5 -8- r4c4 =8= r7c4 -8- r8c6 =8= r1c6 =3= r2c6 -3- r2c8 =3= r4c8 =6= r6c8 -6 => r4c8,r6c5<>6
- Row 4 / Column 5 → 6 (Hidden Single)
- Row 6 / Column 8 → 6 (Hidden Single)
- Row 4 / Column 4 → 8 (Hidden Single)
- Row 7 / Column 4 → 4 (Full House)
- XY-Chain: 2 2- r3c2 -4- r3c1 -9- r7c1 -5- r7c9 -2 => r3c9<>2
- XY-Chain: 8 8- r3c9 -3- r3c3 -9- r7c3 -7- r7c5 -8 => r3c5<>8
- Row 3 / Column 9 → 8 (Hidden Single)
- Row 5 / Column 9 → 7 (Naked Single)
- Row 5 / Column 7 → 8 (Full House)
- Row 3 / Column 3 → 3 (Hidden Single)
- Row 3 / Column 1 → 9 (Hidden Single)
- Row 7 / Column 1 → 5 (Naked Single)
- Row 7 / Column 9 → 2 (Naked Single)
- Row 1 / Column 9 → 3 (Naked Single)
- Row 4 / Column 9 → 4 (Naked Single)
- Row 4 / Column 8 → 3 (Full House)
- Row 9 / Column 9 → 5 (Full House)
- Row 7 / Column 3 → 9 (Hidden Single)
- Row 1 / Column 5 → 2 (Hidden Single)
- Row 3 / Column 5 → 4 (Naked Single)
- Row 3 / Column 2 → 2 (Full House)
- Row 1 / Column 6 → 8 (Naked Single)
- Row 2 / Column 6 → 3 (Full House)
- Row 6 / Column 5 → 7 (Naked Single)
- Row 6 / Column 6 → 4 (Full House)
- Row 8 / Column 6 → 7 (Full House)
- Row 7 / Column 5 → 8 (Full House)
- Row 7 / Column 8 → 7 (Full House)
- Row 8 / Column 2 → 4 (Naked Single)
- Row 2 / Column 2 → 7 (Full House)
- Row 8 / Column 8 → 8 (Full House)
- Row 9 / Column 8 → 4 (Full House)
- Row 2 / Column 8 → 2 (Full House)
- Row 2 / Column 7 → 4 (Full House)
- Row 1 / Column 7 → 7 (Full House)
- Row 9 / Column 1 → 6 (Naked Single)
- Row 1 / Column 1 → 4 (Full House)
- Row 1 / Column 3 → 6 (Full House)
- Row 9 / Column 3 → 7 (Full House)
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