5
7
6
4
9
1
2
8
3
2
1
8
5
6
3
4
7
9
9
3
4
8
7
2
1
6
5
3
6
8
7
1
2
9
4
5
1
4
5
9
3
6
7
8
2
7
2
9
5
4
8
6
1
3
6
3
4
8
2
7
1
5
9
8
9
1
6
5
4
3
2
7
2
5
7
3
9
1
4
8
6
This Sudoku Puzzle has 90 steps and it is solved using Locked Candidates Type 1 (Pointing), undefined, Naked Pair, Naked Single, Discontinuous Nice Loop, Locked Candidates Type 2 (Claiming), AIC, Hidden Single, Continuous Nice Loop, Finned Swordfish, Multi Colors 1, Skyscraper, Hidden Pair, Locked Pair, Uniqueness Test 2, Naked Triple, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Hidden Pair
Explanation
Locked Candidates
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Locked Candidates Type 1 (Pointing): 6 in b1 => r1c8<>6
- Locked Candidates Type 1 (Pointing): 3 in b6 => r1c9<>3
- 2-String Kite: 9 in r5c4,r8c9 (connected by r4c9,r5c8) => r8c4<>9
- Locked Candidates Type 1 (Pointing): 9 in b8 => r4c5<>9
- Naked Pair: 1,6 in r7c6,r8c4 => r7c5,r8c6<>1, r8c6<>6
- Row 8 / Column 6 → 4 (Naked Single)
- XY-Wing: 1/9/5 in r38c9,r7c8 => r123c8<>5
- Discontinuous Nice Loop: 7/8 r3c8 =6= r3c7 -6- r6c7 =6= r6c4 -6- r8c4 -1- r8c9 -9- r4c9 =9= r5c8 =6= r3c8 => r3c8<>7, r3c8<>8
- Row 3 / Column 8 → 6 (Naked Single)
- Discontinuous Nice Loop: 8 r1c3 -8- r9c3 -9- r9c5 -2- r9c7 =2= r7c7 =1= r7c6 =6= r7c1 -6- r1c1 =6= r1c3 => r1c3<>8
- Discontinuous Nice Loop: 4 r4c1 -4- r4c5 =4= r6c5 =8= r6c2 =3= r4c1 => r4c1<>4
- Discontinuous Nice Loop: 7 r4c4 -7- r6c4 -6- r8c4 -1- r8c9 -9- r4c9 =9= r4c4 => r4c4<>7
- Discontinuous Nice Loop: 1 r5c4 -1- r8c4 =1= r8c9 =9= r4c9 -9- r4c4 =9= r5c4 => r5c4<>1
- Discontinuous Nice Loop: 5 r7c1 -5- r7c8 -9- r8c9 -1- r8c4 -6- r7c6 =6= r7c1 => r7c1<>5
- Locked Candidates Type 1 (Pointing): 5 in b7 => r123c2<>5
- Locked Candidates Type 2 (Claiming): 5 in r3 => r1c9,r2c7<>5
- AIC: 5 5- r7c8 -9- r5c8 =9= r4c9 =3= r4c1 -3- r7c1 =3= r7c2 =5= r9c2 -5 => r7c2,r9c78<>5
- Row 9 / Column 2 → 5 (Hidden Single)
- AIC: 4 4- r1c9 -1- r8c9 =1= r7c7 =2= r9c7 =4= r9c8 -4 => r12c8<>4
- Continuous Nice Loop: 4/5 9= r4c9 =3= r4c1 -3- r7c1 -6- r7c6 -1- r7c7 =1= r8c9 =9= r4c9 =3 => r4c9<>4, r4c9<>5
- Row 3 / Column 9 → 5 (Hidden Single)
- 2-String Kite: 1 in r1c9,r7c6 (connected by r7c7,r8c9) => r1c6<>1
- Finned Swordfish: 1 r357 c267 fr3c5 => r2c6<>1
- Multi Colors 1: 1 (r1c9,r7c7,r8c4) / (r7c6,r8c9), (r4c3,r5c6) / (r5c2) => r1c2<>1
- Discontinuous Nice Loop: 1 r1c3 -1- r1c9 =1= r8c9 -1- r8c4 -6- r8c3 =6= r1c3 => r1c3<>1
- Skyscraper: 1 in r1c5,r8c4 (connected by r18c9) => r2c4<>1
- Locked Candidates Type 1 (Pointing): 1 in b2 => r4c5<>1
- Finned Swordfish: 1 r257 c267 fr2c3 => r3c2<>1
- Locked Candidates Type 1 (Pointing): 1 in b1 => r2c7<>1
- Hidden Pair: 1,9 in r2c23 => r2c2<>4, r2c23<>7, r2c23<>8
- Discontinuous Nice Loop: 8 r1c5 -8- r6c5 =8= r6c2 =3= r6c9 =4= r1c9 =1= r1c5 => r1c5<>8
- XY-Chain: 7 7- r1c5 -1- r1c9 -4- r6c9 -3- r4c9 -9- r8c9 -1- r8c4 -6- r6c4 -7 => r2c4,r46c5<>7
- Row 2 / Column 4 → 5 (Naked Single)
- Row 1 / Column 1 → 5 (Hidden Single)
- Row 1 / Column 3 → 6 (Hidden Single)
- Locked Pair: 3,8 in r12c6 => r3c5,r4c6<>8
- Uniqueness Test 2: 3/8 in r1c68,r2c68 => r23c7,r5c8<>7
- Naked Triple: 1,4,8 in r1c9,r23c7 => r12c8<>8
- Locked Candidates Type 1 (Pointing): 8 in b3 => r9c7<>8
- XY-Chain: 3 3- r1c8 -7- r1c5 -1- r1c9 -4- r2c7 -8- r2c6 -3 => r1c6,r2c8<>3
- Row 1 / Column 6 → 8 (Naked Single)
- Row 2 / Column 8 → 7 (Naked Single)
- Row 2 / Column 6 → 3 (Naked Single)
- Row 1 / Column 8 → 3 (Naked Single)
- Locked Candidates Type 1 (Pointing): 7 in b1 => r56c2<>7
- Naked Triple: 3,4,8 in r6c259 => r6c7<>4
- XY-Chain: 1 1- r4c4 -9- r4c9 -3- r6c9 -4- r1c9 -1- r1c5 -7- r1c2 -4- r5c2 -1 => r4c3,r5c6<>1
- Row 2 / Column 3 → 1 (Hidden Single)
- Row 2 / Column 2 → 9 (Naked Single)
- Row 7 / Column 2 → 3 (Naked Single)
- Row 7 / Column 1 → 6 (Naked Single)
- Row 7 / Column 6 → 1 (Naked Single)
- Row 4 / Column 6 → 5 (Naked Single)
- Row 5 / Column 6 → 6 (Full House)
- Row 8 / Column 4 → 6 (Naked Single)
- Row 6 / Column 4 → 7 (Naked Single)
- Row 5 / Column 4 → 9 (Naked Single)
- Row 4 / Column 4 → 1 (Full House)
- Row 6 / Column 7 → 6 (Naked Single)
- Row 5 / Column 2 → 1 (Hidden Single)
- Row 6 / Column 9 → 3 (Hidden Single)
- Row 4 / Column 9 → 9 (Naked Single)
- Row 8 / Column 9 → 1 (Naked Single)
- Row 1 / Column 9 → 4 (Full House)
- Row 1 / Column 2 → 7 (Naked Single)
- Row 1 / Column 5 → 1 (Full House)
- Row 3 / Column 5 → 7 (Full House)
- Row 2 / Column 7 → 8 (Naked Single)
- Row 2 / Column 1 → 4 (Full House)
- Row 3 / Column 2 → 8 (Full House)
- Row 3 / Column 7 → 1 (Full House)
- Row 6 / Column 2 → 4 (Full House)
- Row 6 / Column 5 → 8 (Full House)
- Row 4 / Column 5 → 4 (Full House)
- Row 5 / Column 1 → 7 (Naked Single)
- Row 4 / Column 7 → 7 (Naked Single)
- Row 4 / Column 3 → 8 (Naked Single)
- Row 4 / Column 1 → 3 (Full House)
- Row 8 / Column 1 → 8 (Full House)
- Row 9 / Column 3 → 9 (Naked Single)
- Row 8 / Column 3 → 7 (Full House)
- Row 8 / Column 8 → 9 (Full House)
- Row 9 / Column 5 → 2 (Naked Single)
- Row 7 / Column 5 → 9 (Full House)
- Row 7 / Column 8 → 5 (Naked Single)
- Row 7 / Column 7 → 2 (Full House)
- Row 9 / Column 7 → 4 (Naked Single)
- Row 5 / Column 7 → 5 (Full House)
- Row 5 / Column 8 → 4 (Full House)
- Row 9 / Column 8 → 8 (Full House)
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