7
4
8
6
3
2
9
1
5
9
3
1
4
5
8
6
2
7
6
2
5
9
7
1
4
3
8
3
6
7
5
2
9
1
8
4
8
9
4
1
6
3
5
7
2
5
1
2
7
8
4
3
6
9
4
7
6
8
9
1
2
5
3
2
8
5
3
4
6
7
1
9
1
9
3
2
5
7
8
4
6
This Sudoku Puzzle has 78 steps and it is solved using Hidden Single, Naked Single, Locked Triple, Locked Candidates Type 1 (Pointing), Naked Triple, Hidden Pair, undefined, Discontinuous Nice Loop, Empty Rectangle, Grouped Discontinuous Nice Loop, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 4 / Column 7 → 5 (Hidden Single)
- Row 6 / Column 3 → 4 (Hidden Single)
- Row 1 / Column 2 → 4 (Hidden Single)
- Row 9 / Column 8 → 4 (Hidden Single)
- Row 6 / Column 7 → 3 (Hidden Single)
- Row 4 / Column 3 → 7 (Hidden Single)
- Row 9 / Column 9 → 6 (Hidden Single)
- Row 4 / Column 1 → 3 (Hidden Single)
- Row 4 / Column 5 → 9 (Naked Single)
- Row 8 / Column 9 → 7 (Hidden Single)
- Locked Triple: 1,3,9 in r1c456 => r1c3,r2c45,r3c46<>1, r1c38,r23c4,r3c6<>9, r1c8,r3c46<>3
- Row 3 / Column 8 → 3 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 5 in b7 => r3c2<>5
- Locked Candidates Type 1 (Pointing): 1 in b9 => r2c7<>1
- Naked Triple: 1,2,9 in r358c2 => r79c2<>1, r79c2<>2, r79c2<>9
- Hidden Pair: 3,4 in r8c45 => r8c45<>1, r8c4<>2, r8c4<>9
- W-Wing: 7/5 in r3c6,r9c2 connected by 5 in r7c26 => r9c6<>7
- Discontinuous Nice Loop: 1/6 r6c5 =7= r6c6 -7- r3c6 -5- r2c5 =5= r9c5 =7= r6c5 => r6c5<>1, r6c5<>6
- Row 6 / Column 5 → 7 (Naked Single)
- Row 6 / Column 8 → 6 (Hidden Single)
- Empty Rectangle: 9 in b3 (r6c19) => r2c1<>9
- Finned X-Wing: 1 r69 c16 fr9c4 fr9c5 => r7c6<>1
- Grouped Discontinuous Nice Loop: 9 r7c4 -9- r7c8 =9= r5c8 -9- r6c9 =9= r6c1 -9- r9c1 =9= r9c46 -9- r7c4 => r7c4<>9
- Grouped Discontinuous Nice Loop: 9 r7c6 -9- r7c8 =9= r5c8 -9- r6c9 =9= r6c1 -9- r9c1 =9= r9c46 -9- r7c6 => r7c6<>9
- Locked Candidates Type 1 (Pointing): 9 in b8 => r9c1<>9
- Locked Candidates Type 1 (Pointing): 9 in b7 => r8c7<>9
- Discontinuous Nice Loop: 9 r2c3 -9- r2c7 =9= r7c7 =1= r7c4 -1- r9c5 -5- r2c5 =5= r2c3 => r2c3<>9
- Locked Candidates Type 1 (Pointing): 9 in b1 => r3c9<>9
- Discontinuous Nice Loop: 2 r8c1 -2- r9c1 -1- r9c5 -5- r2c5 =5= r3c6 =7= r3c4 =6= r3c1 =8= r8c1 => r8c1<>2
- Almost Locked Set XZ-Rule: A=r5c2356 {12369}, B=r269c1 {1269}, X=9, Z=6 => r2c5<>6
- Row 5 / Column 5 → 6 (Hidden Single)
- Almost Locked Set XZ-Rule: A=r269c1 {1269}, B=r346c9 {1289}, X=9, Z=1 => r3c1<>1
- Almost Locked Set XY-Wing: A=r2c79 {129}, B=r69c1 {129}, C=r346c9 {1289}, X,Y=1,9, Z=2 => r2c1<>2
- Locked Candidates Type 1 (Pointing): 2 in b1 => r58c3<>2
- XY-Chain: 1 1- r2c1 -6- r2c4 -4- r2c5 -5- r9c5 -1 => r9c1<>1
- Row 9 / Column 1 → 2 (Naked Single)
- Row 5 / Column 2 → 2 (Hidden Single)
- Row 8 / Column 7 → 2 (Hidden Single)
- Row 2 / Column 7 → 9 (Naked Single)
- Row 7 / Column 7 → 1 (Full House)
- Row 7 / Column 8 → 9 (Full House)
- Row 5 / Column 8 → 8 (Naked Single)
- Row 1 / Column 8 → 2 (Full House)
- Row 4 / Column 9 → 2 (Naked Single)
- Row 4 / Column 4 → 8 (Full House)
- Row 6 / Column 9 → 9 (Full House)
- Row 1 / Column 3 → 8 (Naked Single)
- Row 2 / Column 9 → 1 (Naked Single)
- Row 3 / Column 9 → 8 (Full House)
- Row 6 / Column 1 → 1 (Naked Single)
- Row 5 / Column 3 → 9 (Full House)
- Row 6 / Column 6 → 2 (Full House)
- Row 2 / Column 1 → 6 (Naked Single)
- Row 8 / Column 3 → 1 (Naked Single)
- Row 2 / Column 4 → 4 (Naked Single)
- Row 3 / Column 1 → 9 (Naked Single)
- Row 8 / Column 1 → 8 (Full House)
- Row 3 / Column 3 → 5 (Naked Single)
- Row 2 / Column 3 → 2 (Full House)
- Row 2 / Column 5 → 5 (Full House)
- Row 3 / Column 2 → 1 (Full House)
- Row 8 / Column 2 → 9 (Naked Single)
- Row 8 / Column 4 → 3 (Naked Single)
- Row 8 / Column 5 → 4 (Full House)
- Row 3 / Column 6 → 7 (Naked Single)
- Row 3 / Column 4 → 6 (Full House)
- Row 9 / Column 5 → 1 (Naked Single)
- Row 1 / Column 5 → 3 (Full House)
- Row 5 / Column 4 → 1 (Naked Single)
- Row 5 / Column 6 → 3 (Full House)
- Row 7 / Column 6 → 5 (Naked Single)
- Row 1 / Column 4 → 9 (Naked Single)
- Row 1 / Column 6 → 1 (Full House)
- Row 9 / Column 6 → 9 (Full House)
- Row 7 / Column 2 → 7 (Naked Single)
- Row 7 / Column 4 → 2 (Full House)
- Row 9 / Column 4 → 7 (Full House)
- Row 9 / Column 2 → 5 (Full House)
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