5
3
8
1
2
3
2
4
7
2
8
7
6
3
1
6
5
4
4
9
8
6
7
2
5
This Sudoku Puzzle has 81 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Locked Candidates Type 2 (Claiming), Naked Pair, Naked Triple, Hidden Rectangle, AIC, Discontinuous Nice Loop, Grouped Discontinuous Nice Loop, undefined, Naked Single, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 1 / Column 3 → 2 (Hidden Single)
- Row 6 / Column 8 → 7 (Hidden Single)
- Row 4 / Column 8 → 2 (Hidden Single)
- Row 7 / Column 2 → 2 (Hidden Single)
- Row 4 / Column 5 → 8 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 4 in b1 => r2c46<>4
- Locked Candidates Type 1 (Pointing): 1 in b3 => r789c7<>1
- Locked Candidates Type 1 (Pointing): 9 in b6 => r5c1356<>9
- Row 4 / Column 3 → 9 (Hidden Single)
- Row 4 / Column 2 → 6 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 4 in b4 => r5c56<>4
- Locked Candidates Type 1 (Pointing): 5 in b4 => r5c56<>5
- Locked Candidates Type 1 (Pointing): 7 in b7 => r23c3<>7
- Locked Candidates Type 2 (Claiming): 7 in r1 => r23c9,r3c7<>7
- Naked Pair: 1,5 in r57c1 => r139c1<>1
- Row 1 / Column 7 → 1 (Hidden Single)
- Row 1 / Column 9 → 7 (Hidden Single)
- Naked Triple: 6,8,9 in r358c7 => r7c7<>9, r9c7<>6, r9c7<>8
- Hidden Rectangle: 2/3 in r5c56,r9c56 => r9c6<>3
- AIC: 1 1- r3c3 =1= r3c2 =7= r3c6 =3= r3c5 =5= r7c5 -5- r7c1 -1 => r789c3<>1
- Locked Candidates Type 2 (Claiming): 1 in r9 => r8c46<>1
- Discontinuous Nice Loop: 8 r2c9 -8- r2c8 -9- r7c8 -1- r7c1 -5- r7c5 =5= r3c5 -5- r3c9 =5= r2c9 => r2c9<>8
- Grouped Discontinuous Nice Loop: 9 r2c6 =7= r3c6 =3= r3c5 =5= r7c5 =9= r13c5 -9- r2c6 => r2c6<>9
- Grouped Discontinuous Nice Loop: 9 r3c6 =3= r3c5 =5= r7c5 =9= r13c5 -9- r3c6 => r3c6<>9
- Grouped Discontinuous Nice Loop: 3 r7c5 -3- r7c9 -9- r7c8 -1- r7c1 =1= r5c1 -1- r6c2 -3- r6c4 =3= r89c4 -3- r7c5 => r7c5<>3
- Almost Locked Set XZ-Rule: A=r7c15789 {134579}, B=r9c4567 {12347}, X=7, Z=3 => r9c9<>3
- Row 7 / Column 9 → 3 (Hidden Single)
- Naked Pair: 6,8 in r9c19 => r9c3<>6
- 2-String Kite: 6 in r3c7,r9c1 (connected by r8c7,r9c9) => r3c1<>6
- W-Wing: 9/8 in r3c1,r5c9 connected by 8 in r9c19 => r3c9<>9
- W-Wing: 8/9 in r2c8,r5c7 connected by 9 in r25c9 => r3c7<>8
- Discontinuous Nice Loop: 9 r3c5 -9- r3c1 -8- r9c1 -6- r9c9 =6= r8c7 -6- r3c7 -9- r3c5 => r3c5<>9
- Naked Triple: 3,5,7 in r23c6,r3c5 => r2c4<>5
- AIC: 6 6- r1c1 -9- r1c5 =9= r7c5 -9- r7c8 -1- r7c1 =1= r8c2 =8= r9c1 =6= r8c3 -6 => r23c3,r9c1<>6
- Row 2 / Column 3 → 4 (Naked Single)
- Row 3 / Column 3 → 1 (Naked Single)
- Row 9 / Column 1 → 8 (Naked Single)
- Row 3 / Column 1 → 9 (Naked Single)
- Row 9 / Column 9 → 6 (Naked Single)
- Row 1 / Column 1 → 6 (Naked Single)
- Row 3 / Column 7 → 6 (Naked Single)
- Row 8 / Column 3 → 6 (Hidden Single)
- Row 5 / Column 2 → 4 (Hidden Single)
- Row 2 / Column 4 → 6 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 5 in b7 => r7c5<>5
- Row 3 / Column 5 → 5 (Hidden Single)
- Row 2 / Column 6 → 7 (Naked Single)
- Row 3 / Column 9 → 8 (Naked Single)
- Row 2 / Column 2 → 8 (Naked Single)
- Row 3 / Column 2 → 7 (Full House)
- Row 3 / Column 6 → 3 (Full House)
- Row 2 / Column 8 → 9 (Naked Single)
- Row 2 / Column 9 → 5 (Full House)
- Row 5 / Column 9 → 9 (Full House)
- Row 5 / Column 7 → 8 (Full House)
- Row 7 / Column 8 → 1 (Naked Single)
- Row 8 / Column 8 → 8 (Full House)
- Row 8 / Column 7 → 9 (Naked Single)
- Row 7 / Column 1 → 5 (Naked Single)
- Row 5 / Column 1 → 1 (Full House)
- Row 8 / Column 6 → 5 (Naked Single)
- Row 7 / Column 3 → 7 (Naked Single)
- Row 5 / Column 6 → 2 (Naked Single)
- Row 6 / Column 2 → 3 (Naked Single)
- Row 5 / Column 3 → 5 (Full House)
- Row 9 / Column 3 → 3 (Full House)
- Row 5 / Column 5 → 3 (Full House)
- Row 8 / Column 2 → 1 (Full House)
- Row 8 / Column 4 → 3 (Full House)
- Row 4 / Column 6 → 4 (Naked Single)
- Row 4 / Column 4 → 5 (Full House)
- Row 7 / Column 7 → 4 (Naked Single)
- Row 7 / Column 5 → 9 (Full House)
- Row 9 / Column 7 → 7 (Full House)
- Row 9 / Column 6 → 1 (Naked Single)
- Row 6 / Column 6 → 9 (Full House)
- Row 6 / Column 4 → 1 (Full House)
- Row 1 / Column 5 → 4 (Naked Single)
- Row 1 / Column 4 → 9 (Full House)
- Row 9 / Column 4 → 4 (Full House)
- Row 9 / Column 5 → 2 (Full House)
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