8
7
1
5
1
4
2
8
2
3
6
7
2
7
6
9
1
2
7
3
1
5
9
3
This Sudoku Puzzle has 72 steps and it is solved using Hidden Single, Locked Triple, Naked Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Hidden Pair, Empty Rectangle, Hidden Rectangle, Discontinuous Nice Loop, undefined, AIC, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 5 / Column 9 → 2 (Hidden Single)
- Row 3 / Column 4 → 7 (Hidden Single)
- Row 8 / Column 8 → 2 (Hidden Single)
- Row 3 / Column 1 → 2 (Hidden Single)
- Row 1 / Column 6 → 2 (Hidden Single)
- Row 7 / Column 4 → 2 (Hidden Single)
- Row 3 / Column 8 → 1 (Hidden Single)
- Row 7 / Column 9 → 1 (Hidden Single)
- Locked Triple: 1,4,5 in r5c123 => r4c2,r5c5<>1, r46c2,r5c57,r6c3<>4, r5c57,r6c3<>5
- Row 4 / Column 2 → 9 (Naked Single)
- Row 4 / Column 5 → 1 (Hidden Single)
- Row 1 / Column 7 → 5 (Hidden Single)
- Row 6 / Column 9 → 5 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 4 in b5 => r8c4<>4
- Locked Candidates Type 1 (Pointing): 4 in b6 => r129c8<>4
- Locked Candidates Type 1 (Pointing): 4 in b3 => r9c9<>4
- Locked Candidates Type 1 (Pointing): 7 in b9 => r9c3<>7
- Locked Candidates Type 2 (Claiming): 4 in r8 => r7c123,r9c13<>4
- Hidden Pair: 3,7 in r7c23 => r7c23<>6, r7c3<>8, r7c3<>9
- Empty Rectangle: 8 in b9 (r5c57) => r9c5<>8
- Hidden Rectangle: 1/4 in r5c12,r8c12 => r8c1<>4
- Discontinuous Nice Loop: 3 r1c8 -3- r4c8 -4- r4c4 -5- r8c4 -8- r8c3 =8= r9c3 -8- r9c9 -7- r9c8 =7= r1c8 => r1c8<>3
- X-Wing: 3 c68 r24 => r2c25<>3
- Row 7 / Column 2 → 3 (Hidden Single)
- Row 7 / Column 3 → 7 (Naked Single)
- Row 6 / Column 3 → 6 (Naked Single)
- Row 6 / Column 2 → 7 (Naked Single)
- Empty Rectangle: 6 in b9 (r3c57) => r9c5<>6
- Discontinuous Nice Loop: 9 r2c6 -9- r6c6 -8- r5c5 -3- r4c6 =3= r2c6 => r2c6<>9
- Discontinuous Nice Loop: 8 r2c8 -8- r3c9 -9- r3c3 -3- r3c7 =3= r2c8 => r2c8<>8
- AIC: 8 8- r5c5 -3- r5c7 =3= r3c7 -3- r2c8 -6- r2c2 -4- r8c2 =4= r8c3 =8= r9c3 -8- r9c8 =8= r6c8 -8 => r5c7,r6c46<>8
- Row 5 / Column 7 → 3 (Naked Single)
- Row 6 / Column 6 → 9 (Naked Single)
- Row 4 / Column 8 → 4 (Naked Single)
- Row 6 / Column 8 → 8 (Full House)
- Row 6 / Column 4 → 4 (Full House)
- Row 5 / Column 5 → 8 (Naked Single)
- Row 4 / Column 4 → 5 (Naked Single)
- Row 4 / Column 6 → 3 (Full House)
- Row 8 / Column 4 → 8 (Naked Single)
- Row 2 / Column 4 → 9 (Full House)
- Row 7 / Column 6 → 6 (Naked Single)
- Row 7 / Column 1 → 9 (Naked Single)
- Row 8 / Column 6 → 5 (Naked Single)
- Row 2 / Column 6 → 8 (Full House)
- Row 7 / Column 5 → 4 (Naked Single)
- Row 7 / Column 7 → 8 (Full House)
- Row 9 / Column 5 → 9 (Full House)
- Row 8 / Column 3 → 4 (Naked Single)
- Row 2 / Column 9 → 4 (Naked Single)
- Row 3 / Column 7 → 6 (Naked Single)
- Row 9 / Column 7 → 4 (Full House)
- Row 9 / Column 9 → 7 (Naked Single)
- Row 9 / Column 8 → 6 (Full House)
- Row 5 / Column 3 → 5 (Naked Single)
- Row 2 / Column 2 → 6 (Naked Single)
- Row 1 / Column 8 → 7 (Naked Single)
- Row 2 / Column 8 → 3 (Full House)
- Row 2 / Column 5 → 5 (Full House)
- Row 3 / Column 5 → 3 (Naked Single)
- Row 1 / Column 5 → 6 (Full House)
- Row 1 / Column 9 → 9 (Naked Single)
- Row 3 / Column 9 → 8 (Full House)
- Row 3 / Column 3 → 9 (Full House)
- Row 9 / Column 1 → 5 (Naked Single)
- Row 9 / Column 3 → 8 (Full House)
- Row 1 / Column 3 → 3 (Full House)
- Row 1 / Column 1 → 4 (Full House)
- Row 8 / Column 2 → 1 (Naked Single)
- Row 5 / Column 2 → 4 (Full House)
- Row 5 / Column 1 → 1 (Full House)
- Row 8 / Column 1 → 6 (Full House)
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