5
6
9
8
4
1
2
7
3
1
7
4
3
2
6
8
5
9
8
3
2
5
7
9
1
6
4
3
2
4
7
5
6
9
1
8
9
6
1
2
4
8
5
3
7
7
8
5
9
1
3
2
4
6
1
3
2
6
8
5
4
9
7
4
8
5
7
9
3
6
1
2
6
9
7
4
2
1
3
5
8
This Sudoku Puzzle has 69 steps and it is solved using Naked Single, Full House, Hidden Single, undefined, Finned Swordfish, Locked Candidates Type 1 (Pointing), AIC techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 4 / Column 8 → 8 (Naked Single)
- Row 6 / Column 8 → 4 (Naked Single)
- Row 4 / Column 4 → 9 (Naked Single)
- Row 5 / Column 9 → 3 (Naked Single)
- Row 5 / Column 7 → 9 (Full House)
- Row 4 / Column 1 → 3 (Hidden Single)
- Row 6 / Column 4 → 5 (Hidden Single)
- Row 3 / Column 7 → 1 (Hidden Single)
- Row 5 / Column 5 → 4 (Hidden Single)
- Row 3 / Column 3 → 3 (Hidden Single)
- Row 3 / Column 4 → 8 (Naked Single)
- Row 9 / Column 7 → 3 (Hidden Single)
- Row 4 / Column 2 → 2 (Hidden Single)
- Row 5 / Column 6 → 8 (Hidden Single)
- Row 9 / Column 8 → 5 (Hidden Single)
- Row 6 / Column 6 → 7 (Hidden Single)
- Row 4 / Column 6 → 1 (Hidden Single)
- Row 4 / Column 5 → 6 (Full House)
- 2-String Kite: 7 in r1c5,r8c8 (connected by r1c9,r2c8) => r8c5<>7
- Finned X-Wing: 4 r39 c19 fr9c2 => r78c1<>4
- Finned Swordfish: 6 r157 c137 fr1c2 => r3c1<>6
- X-Chain: 2 r1c3 =2= r7c3 -2- r7c9 =2= r8c8 -2- r2c8 =2= r2c5 => r1c5<>2
- XY-Chain: 4 4- r2c2 -6- r2c6 -3- r8c6 -9- r3c6 -6- r3c8 -2- r3c9 -4 => r2c7,r3c1<>4
- Row 2 / Column 2 → 4 (Hidden Single)
- Row 3 / Column 9 → 4 (Hidden Single)
- Row 9 / Column 1 → 4 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 6 in b1 => r1c7<>6
- X-Wing: 2 c39 r17 => r17c1<>2
- XY-Chain: 8 8- r1c7 -5- r2c7 -6- r2c6 -3- r8c6 -9- r8c5 -8 => r8c7<>8
- AIC: 6 6- r2c6 -3- r2c4 -7- r2c8 =7= r8c8 -7- r9c9 -8- r9c2 =8= r8c2 -8- r8c5 -9- r8c6 =9= r3c6 =6= r3c8 -6 => r2c78,r3c6<>6
- Row 2 / Column 7 → 5 (Naked Single)
- Row 3 / Column 6 → 9 (Naked Single)
- Row 1 / Column 7 → 8 (Naked Single)
- Row 8 / Column 6 → 3 (Naked Single)
- Row 2 / Column 6 → 6 (Full House)
- Row 3 / Column 8 → 6 (Hidden Single)
- Row 2 / Column 4 → 3 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 7 in b2 => r79c5<>7
- AIC: 9 9- r8c5 -8- r8c2 =8= r9c2 -8- r9c9 -7- r9c3 -9 => r8c12,r9c5<>9
- Row 8 / Column 5 → 9 (Hidden Single)
- Row 8 / Column 2 → 8 (Hidden Single)
- Row 1 / Column 2 → 6 (Hidden Single)
- XY-Wing: 2/9/7 in r1c39,r9c3 => r9c9<>7
- Row 9 / Column 9 → 8 (Naked Single)
- Row 9 / Column 5 → 1 (Naked Single)
- Row 7 / Column 5 → 8 (Naked Single)
- Row 9 / Column 2 → 9 (Naked Single)
- Row 6 / Column 2 → 1 (Full House)
- Row 9 / Column 3 → 7 (Full House)
- Row 6 / Column 1 → 9 (Full House)
- Row 5 / Column 3 → 6 (Naked Single)
- Row 5 / Column 1 → 7 (Full House)
- Row 1 / Column 1 → 5 (Naked Single)
- Row 7 / Column 3 → 2 (Naked Single)
- Row 1 / Column 3 → 9 (Full House)
- Row 3 / Column 1 → 2 (Full House)
- Row 3 / Column 5 → 5 (Full House)
- Row 1 / Column 5 → 7 (Naked Single)
- Row 1 / Column 9 → 2 (Full House)
- Row 7 / Column 9 → 7 (Full House)
- Row 2 / Column 5 → 2 (Full House)
- Row 2 / Column 8 → 7 (Full House)
- Row 8 / Column 8 → 2 (Full House)
- Row 8 / Column 1 → 6 (Naked Single)
- Row 7 / Column 1 → 1 (Full House)
- Row 7 / Column 4 → 4 (Naked Single)
- Row 7 / Column 7 → 6 (Full House)
- Row 8 / Column 7 → 4 (Full House)
- Row 8 / Column 4 → 7 (Full House)
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