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This Sudoku Puzzle has 69 steps and it is solved using Hidden Single, Locked Candidates Type 1 (Pointing), Naked Pair, undefined, Continuous Nice Loop, Discontinuous Nice Loop, Naked Single, AIC, Full House, Naked Triple techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 4 / Column 8 → 9 (Hidden Single)
- Row 3 / Column 3 → 8 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 2 in b2 => r2c78<>2
- Locked Candidates Type 1 (Pointing): 6 in b2 => r4579c5<>6
- Locked Candidates Type 1 (Pointing): 1 in b6 => r5c56<>1
- Naked Pair: 2,7 in r26c6 => r45c6<>2, r4578c6<>7
- 2-String Kite: 6 in r5c1,r8c4 (connected by r4c4,r5c6) => r8c1<>6
- XYZ-Wing: 2/6/7 in r48c4,r6c6 => r6c4<>7
- Finned X-Wing: 9 r28 c27 fr8c1 => r9c2<>9
- Continuous Nice Loop: 2/3/6/7 4= r4c5 =1= r4c6 =3= r5c6 =6= r5c1 =5= r5c5 =4= r4c5 =1 => r5c1<>2, r5c1<>3, r4c6<>6, r45c5,r5c1<>7
- Discontinuous Nice Loop: 2/5/6/7 r1c7 =4= r1c8 -4- r6c8 =4= r6c2 =5= r6c4 -5- r5c5 -4- r5c7 =4= r1c7 => r1c7<>2, r1c7<>5, r1c7<>6, r1c7<>7
- Row 1 / Column 7 → 4 (Naked Single)
- Finned X-Wing: 5 r15 c15 fr1c2 => r3c1<>5
- AIC: 3 3- r4c6 -1- r4c5 -4- r4c2 =4= r6c2 =5= r5c1 =6= r5c6 =3= r5c3 -3 => r4c123,r5c6<>3
- Row 5 / Column 6 → 6 (Naked Single)
- Row 5 / Column 1 → 5 (Naked Single)
- Row 7 / Column 6 → 8 (Naked Single)
- Row 5 / Column 5 → 4 (Naked Single)
- Row 8 / Column 6 → 1 (Naked Single)
- Row 4 / Column 5 → 1 (Naked Single)
- Row 4 / Column 6 → 3 (Naked Single)
- Row 5 / Column 3 → 3 (Hidden Single)
- Row 8 / Column 4 → 6 (Hidden Single)
- Row 6 / Column 4 → 5 (Hidden Single)
- Row 8 / Column 1 → 8 (Hidden Single)
- Row 4 / Column 2 → 4 (Hidden Single)
- Row 6 / Column 2 → 7 (Naked Single)
- Row 4 / Column 3 → 2 (Naked Single)
- Row 4 / Column 1 → 6 (Full House)
- Row 4 / Column 4 → 7 (Full House)
- Row 6 / Column 6 → 2 (Full House)
- Row 9 / Column 3 → 7 (Full House)
- Row 2 / Column 4 → 2 (Full House)
- Row 2 / Column 6 → 7 (Full House)
- Row 6 / Column 8 → 4 (Full House)
- Row 9 / Column 5 → 9 (Naked Single)
- Row 7 / Column 5 → 7 (Full House)
- Row 2 / Column 8 → 1 (Naked Single)
- Row 9 / Column 2 → 6 (Hidden Single)
- Row 7 / Column 7 → 6 (Hidden Single)
- Naked Triple: 5,7,9 in r238c7 => r5c7<>7
- X-Wing: 9 r28 c27 => r3c7<>9
- 2-String Kite: 3 in r1c2,r9c9 (connected by r8c2,r9c1) => r1c9<>3
- W-Wing: 7/3 in r1c1,r8c8 connected by 3 in r9c19 => r1c8<>7
- XY-Wing: 3/7/2 in r1c19,r9c1 => r9c9<>2
- XY-Wing: 2/9/7 in r17c9,r8c7 => r3c7<>7
- Row 3 / Column 7 → 5 (Naked Single)
- Row 2 / Column 7 → 9 (Naked Single)
- Row 2 / Column 2 → 5 (Full House)
- Row 3 / Column 5 → 6 (Naked Single)
- Row 1 / Column 5 → 5 (Full House)
- Row 8 / Column 7 → 7 (Naked Single)
- Row 1 / Column 2 → 3 (Naked Single)
- Row 8 / Column 2 → 9 (Full House)
- Row 8 / Column 8 → 3 (Full House)
- Row 1 / Column 1 → 7 (Naked Single)
- Row 3 / Column 1 → 9 (Full House)
- Row 7 / Column 1 → 2 (Naked Single)
- Row 7 / Column 9 → 9 (Full House)
- Row 9 / Column 1 → 3 (Full House)
- Row 3 / Column 8 → 7 (Naked Single)
- Row 3 / Column 9 → 3 (Full House)
- Row 9 / Column 9 → 1 (Naked Single)
- Row 9 / Column 7 → 2 (Full House)
- Row 5 / Column 7 → 1 (Full House)
- Row 1 / Column 9 → 2 (Naked Single)
- Row 1 / Column 8 → 6 (Full House)
- Row 5 / Column 8 → 2 (Full House)
- Row 5 / Column 9 → 7 (Full House)
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