2
5
4
3
1
6
7
8
9
9
6
3
5
8
7
1
2
4
7
8
1
9
4
2
5
3
6
1
2
7
4
6
5
9
3
8
8
4
9
7
3
2
6
1
5
3
6
5
1
9
8
4
2
7
8
9
1
5
4
2
6
7
3
4
5
6
3
7
8
2
9
1
2
7
3
6
1
9
8
5
4
This Sudoku Puzzle has 74 steps and it is solved using Hidden Single, Locked Triple, Locked Candidates Type 1 (Pointing), Naked Triple, Naked Single, Turbot Fish, Uniqueness Test 3, Hidden Rectangle, undefined, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 5 / Column 2 → 6 (Hidden Single)
- Row 4 / Column 9 → 5 (Hidden Single)
- Row 2 / Column 3 → 6 (Hidden Single)
- Row 6 / Column 3 → 8 (Hidden Single)
- Locked Triple: 2,3,7 in r5c456 => r46c5,r5c89<>3, r46c5,r5c89<>7
- Row 6 / Column 9 → 7 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 2 in b1 => r8c1<>2
- Locked Candidates Type 1 (Pointing): 6 in b3 => r78c9<>6
- Locked Candidates Type 1 (Pointing): 9 in b4 => r6c7<>9
- Locked Candidates Type 1 (Pointing): 1 in b5 => r17c5<>1
- Locked Candidates Type 1 (Pointing): 4 in b5 => r78c5<>4
- Row 8 / Column 2 → 4 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 3 in b6 => r279c7<>3
- Locked Candidates Type 1 (Pointing): 1 in b7 => r4c3<>1
- Naked Triple: 2,6,9 in r78c7,r8c9 => r7c89<>9, r7c9,r9c7<>2
- Row 7 / Column 9 → 3 (Naked Single)
- Row 9 / Column 7 → 8 (Naked Single)
- Naked Triple: 3,7,8 in r3c128 => r3c46<>7, r3c6<>3, r3c9<>8
- Locked Candidates Type 1 (Pointing): 7 in b2 => r2c1<>7
- Naked Triple: 2,8,9 in r258c9 => r1c9<>2, r1c9<>8, r1c9<>9
- Row 1 / Column 1 → 2 (Hidden Single)
- Turbot Fish: 5 r1c2 =5= r2c1 -5- r8c1 =5= r8c5 => r1c5<>5
- Uniqueness Test 3: 5/7 in r7c28,r9c28 => r13c2<>3
- Locked Candidates Type 1 (Pointing): 3 in b1 => r46c1<>3
- Hidden Rectangle: 1/4 in r3c46,r7c46 => r7c6<>1
- XY-Chain: 8 8- r3c8 -3- r3c1 -7- r4c1 -1- r4c5 -4- r4c7 -3- r4c3 -7- r8c3 -2- r8c9 -9- r5c9 -8 => r2c9,r5c8<>8
- Row 5 / Column 8 → 9 (Naked Single)
- Row 5 / Column 9 → 8 (Naked Single)
- Row 2 / Column 5 → 8 (Hidden Single)
- Row 1 / Column 4 → 9 (Hidden Single)
- Row 1 / Column 2 → 5 (Hidden Single)
- Row 2 / Column 1 → 3 (Naked Single)
- Row 2 / Column 6 → 7 (Naked Single)
- Row 3 / Column 1 → 7 (Naked Single)
- Row 3 / Column 2 → 8 (Full House)
- Row 2 / Column 4 → 5 (Naked Single)
- Row 4 / Column 1 → 1 (Naked Single)
- Row 3 / Column 8 → 3 (Naked Single)
- Row 4 / Column 5 → 4 (Naked Single)
- Row 6 / Column 1 → 9 (Naked Single)
- Row 8 / Column 1 → 5 (Full House)
- Row 1 / Column 8 → 8 (Naked Single)
- Row 4 / Column 7 → 3 (Naked Single)
- Row 4 / Column 3 → 7 (Full House)
- Row 6 / Column 2 → 3 (Full House)
- Row 6 / Column 7 → 4 (Full House)
- Row 6 / Column 5 → 1 (Full House)
- Row 8 / Column 3 → 2 (Naked Single)
- Row 9 / Column 2 → 7 (Naked Single)
- Row 7 / Column 2 → 9 (Full House)
- Row 7 / Column 3 → 1 (Naked Single)
- Row 9 / Column 3 → 3 (Full House)
- Row 8 / Column 9 → 9 (Naked Single)
- Row 9 / Column 8 → 5 (Naked Single)
- Row 7 / Column 8 → 7 (Full House)
- Row 2 / Column 9 → 2 (Naked Single)
- Row 2 / Column 7 → 9 (Full House)
- Row 8 / Column 7 → 6 (Naked Single)
- Row 7 / Column 7 → 2 (Full House)
- Row 8 / Column 5 → 7 (Full House)
- Row 7 / Column 4 → 4 (Naked Single)
- Row 5 / Column 5 → 3 (Naked Single)
- Row 3 / Column 4 → 1 (Naked Single)
- Row 7 / Column 6 → 6 (Naked Single)
- Row 7 / Column 5 → 5 (Full House)
- Row 1 / Column 5 → 6 (Full House)
- Row 5 / Column 6 → 2 (Naked Single)
- Row 5 / Column 4 → 7 (Full House)
- Row 9 / Column 4 → 2 (Full House)
- Row 9 / Column 6 → 1 (Full House)
- Row 3 / Column 9 → 6 (Naked Single)
- Row 3 / Column 6 → 4 (Full House)
- Row 1 / Column 6 → 3 (Full House)
- Row 1 / Column 9 → 1 (Full House)
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