7
8
9
1
2
5
6
3
4
6
2
1
7
3
4
8
9
5
5
4
3
8
6
9
1
2
7
3
7
8
9
4
2
5
1
6
9
4
6
5
1
8
3
7
2
2
1
5
3
7
6
4
9
8
4
9
7
8
5
1
2
6
3
2
5
3
4
6
9
1
8
7
6
8
1
7
3
2
9
5
4
This Sudoku Puzzle has 71 steps and it is solved using Naked Single, Hidden Single, Locked Candidates Type 1 (Pointing), Naked Pair, undefined, Uniqueness Test 1, Empty Rectangle, Naked Triple, Full House techniques.
Naked Single
Explanation
Hidden Single
Explanation
Locked Candidates
Explanation
Full House
Explanation
Solution Steps:
- Row 8 / Column 2 → 5 (Naked Single)
- Row 4 / Column 3 → 8 (Hidden Single)
- Row 9 / Column 3 → 3 (Hidden Single)
- Row 8 / Column 8 → 3 (Hidden Single)
- Row 1 / Column 8 → 4 (Naked Single)
- Row 7 / Column 5 → 5 (Hidden Single)
- Row 9 / Column 1 → 2 (Hidden Single)
- Row 7 / Column 8 → 8 (Hidden Single)
- Row 9 / Column 7 → 9 (Hidden Single)
- Row 8 / Column 1 → 8 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 4 in b7 => r7c79<>4
- Row 6 / Column 7 → 4 (Hidden Single)
- Row 9 / Column 9 → 4 (Hidden Single)
- Row 9 / Column 6 → 7 (Naked Single)
- Row 6 / Column 4 → 3 (Hidden Single)
- Row 6 / Column 1 → 5 (Hidden Single)
- Naked Pair: 1,6 in r2c8,r3c7 => r3c9<>1, r3c9<>6
- Row 3 / Column 9 → 7 (Naked Single)
- Naked Pair: 1,6 in r37c7 => r5c7<>1, r5c7<>6
- X-Wing: 2 r15 c35 => r6c35<>2
- Uniqueness Test 1: 3/5 in r1c79,r5c79 => r5c9<>3, r5c9<>5
- Row 5 / Column 7 → 3 (Hidden Single)
- Row 1 / Column 7 → 5 (Naked Single)
- Row 1 / Column 9 → 3 (Naked Single)
- Row 5 / Column 4 → 5 (Hidden Single)
- Row 4 / Column 9 → 5 (Hidden Single)
- Empty Rectangle: 6 in b6 (r2c18) => r5c1<>6
- Locked Candidates Type 1 (Pointing): 6 in b4 => r3c3<>6
- Naked Triple: 4,8,9 in r3c345 => r3c1<>4, r3c1<>9
- XY-Wing: 7/9/4 in r17c1,r3c3 => r2c1,r7c3<>4
- Row 7 / Column 3 → 7 (Naked Single)
- Row 7 / Column 1 → 4 (Full House)
- Row 3 / Column 3 → 4 (Hidden Single)
- Row 4 / Column 5 → 4 (Hidden Single)
- Locked Candidates Type 1 (Pointing): 9 in b1 => r1c5<>9
- Locked Candidates Type 1 (Pointing): 7 in b4 => r2c2<>7
- W-Wing: 6/9 in r4c6,r6c3 connected by 9 in r46c8 => r6c6<>6
- Row 4 / Column 6 → 6 (Hidden Single)
- W-Wing: 9/2 in r1c3,r6c6 connected by 2 in r2c26 => r6c3<>9
- Row 6 / Column 3 → 6 (Naked Single)
- Row 5 / Column 9 → 6 (Hidden Single)
- Row 7 / Column 9 → 1 (Full House)
- Row 7 / Column 7 → 6 (Full House)
- Row 3 / Column 7 → 1 (Full House)
- Row 2 / Column 8 → 6 (Full House)
- Row 3 / Column 1 → 6 (Naked Single)
- Locked Candidates Type 1 (Pointing): 9 in b4 => r5c5<>9
- W-Wing: 1/7 in r2c1,r4c2 connected by 7 in r24c4 => r2c2,r5c1<>1
- Row 2 / Column 2 → 2 (Naked Single)
- Row 5 / Column 1 → 9 (Naked Single)
- Row 1 / Column 3 → 9 (Naked Single)
- Row 5 / Column 3 → 2 (Full House)
- Row 5 / Column 5 → 1 (Full House)
- Row 2 / Column 6 → 4 (Naked Single)
- Row 1 / Column 1 → 7 (Naked Single)
- Row 1 / Column 5 → 2 (Full House)
- Row 2 / Column 1 → 1 (Full House)
- Row 2 / Column 4 → 7 (Full House)
- Row 9 / Column 5 → 8 (Naked Single)
- Row 9 / Column 4 → 1 (Full House)
- Row 8 / Column 6 → 9 (Naked Single)
- Row 6 / Column 6 → 2 (Full House)
- Row 8 / Column 4 → 4 (Full House)
- Row 4 / Column 4 → 9 (Naked Single)
- Row 3 / Column 4 → 8 (Full House)
- Row 3 / Column 5 → 9 (Full House)
- Row 6 / Column 5 → 7 (Full House)
- Row 4 / Column 8 → 1 (Naked Single)
- Row 4 / Column 2 → 7 (Full House)
- Row 6 / Column 2 → 1 (Full House)
- Row 6 / Column 8 → 9 (Full House)
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