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judwhite/sudoku-steps.txt

Created November 23, 2015 18:10
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sudoku-steps.txt
_ _ _ 8 _ _ 5 _ _
_ _ 9 _ 2 5 _ _ 8
_ _ _ _ _ _ _ _ 4
_ _ _ 1 _ _ 2 8 _
_ 8 _ 6 5 3 _ 7 _
_ 7 5 _ _ 8 _ _ _
2 _ _ _ _ _ _ _ _
3 _ _ 4 7 _ 8 _ _
_ _ 6 _ _ 9 _ _ _
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,4,6,7) (1,2,3,4,6) (1,2,3,4,7) | 8 (1,3,4,6,9) (1,4,6,7) | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (1,2,3,7,8) | (3,7,9) (1,3,6,9) (1,6,7) | (1,3,6,7,9) (1,2,3,6,9) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) (4,7) | 2 8 (3,5,6,9) |
| E | (1,4,9) 8 (1,2,4) | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | (2,9) (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (1,4,5,9) (1,4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,5,6,7,9) |
| H | 3 (1,5,9) (1) | 4 7 (1,2,6) | 8 (1,2,5,6,9) (1,2,5,6,9) |
| J | (1,4,5,7,8) (1,4,5) 6 | (2,3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,5,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: H3(1) has single hint 1, changed to solution. solved: 26/81
1 removed from H2 old: 1,5,9 new: 5,9
1 removed from H6 old: 1,2,6 new: 2,6
1 removed from H8 old: 1,2,5,6,9 new: 2,5,6,9
1 removed from H9 old: 1,2,5,6,9 new: 2,5,6,9
1 removed from A3 old: 1,2,3,4,7 new: 2,3,4,7
1 removed from C3 old: 1,2,3,7,8 new: 2,3,7,8
1 removed from E3 old: 1,2,4 new: 2,4
1 removed from G3 old: 1,4,7,8 new: 4,7,8
1 removed from G2 old: 1,4,5,9 new: 4,5,9
1 removed from J1 old: 1,4,5,7,8 new: 4,5,7,8
1 removed from J2 old: 1,4,5 new: 4,5
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,4,6,7) (1,2,3,4,6) (2,3,4,7) | 8 (1,3,4,6,9) (1,4,6,7) | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (2,3,7,8) | (3,7,9) (1,3,6,9) (1,6,7) | (1,3,6,7,9) (1,2,3,6,9) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) (4,7) | 2 8 (3,5,6,9) |
| E | (1,4,9) 8 (2,4) | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | (2,9) (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,5,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,5,6,9) |
| J | (4,5,7,8) (4,5) 6 | (2,3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,5,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: D6(4,7) is the only cell with 7 in its row, changed to solution. solved: 27/81
7 removed from A6 old: 1,4,6,7 new: 1,4,6
7 removed from C6 old: 1,6,7 new: 1,6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,4,6,7) (1,2,3,4,6) (2,3,4,7) | 8 (1,3,4,6,9) (1,4,6) | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (2,3,7,8) | (3,7,9) (1,3,6,9) (1,6) | (1,3,6,7,9) (1,2,3,6,9) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 (3,5,6,9) |
| E | (1,4,9) 8 (2,4) | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | (2,9) (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,5,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,5,6,9) |
| J | (4,5,7,8) (4,5) 6 | (2,3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,5,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: A6(1,4,6) is the only cell with 4 in its column, changed to solution. solved: 28/81
4 removed from A1 old: 1,4,6,7 new: 1,6,7
4 removed from A2 old: 1,2,3,4,6 new: 1,2,3,6
4 removed from A3 old: 2,3,4,7 new: 2,3,7
4 removed from A5 old: 1,3,4,6,9 new: 1,3,6,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (2,3,7) | 8 (1,3,6,9) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (2,3,7,8) | (3,7,9) (1,3,6,9) (1,6) | (1,3,6,7,9) (1,2,3,6,9) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 (3,5,6,9) |
| E | (1,4,9) 8 (2,4) | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | (2,9) (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,5,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,5,6,9) |
| J | (4,5,7,8) (4,5) 6 | (2,3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,5,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: D9(3,5,6,9) is the only cell with 5 in its row, changed to solution. solved: 29/81
5 removed from G9 old: 1,3,5,6,7,9 new: 1,3,6,7,9
5 removed from H9 old: 2,5,6,9 new: 2,6,9
5 removed from J9 old: 1,2,3,5,7 new: 1,2,3,7
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (2,3,7) | 8 (1,3,6,9) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (2,3,7,8) | (3,7,9) (1,3,6,9) (1,6) | (1,3,6,7,9) (1,2,3,6,9) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 (2,4) | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | (2,9) (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,6,9) |
| J | (4,5,7,8) (4,5) 6 | (2,3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: E3(2,4) is the only cell with 2 in its row, changed to solution. solved: 30/81
2 removed from A3 old: 2,3,7 new: 3,7
2 removed from C3 old: 2,3,7,8 new: 3,7,8
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6,9) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (3,7,8) | (3,7,9) (1,3,6,9) (1,6) | (1,3,6,7,9) (1,2,3,6,9) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | (2,9) (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,6,9) |
| J | (4,5,7,8) (4,5) 6 | (2,3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: F4(2,9) is the only cell with 2 in its row, changed to solution. solved: 31/81
2 removed from J4 old: 2,3,5 new: 3,5
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6,9) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (3,7,8) | (3,7,9) (1,3,6,9) (1,6) | (1,3,6,7,9) (1,2,3,6,9) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,6,9) |
| J | (4,5,7,8) (4,5) 6 | (3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: C4(3,7,9) is the only cell with 9 in its column, changed to solution. solved: 32/81
9 removed from C5 old: 1,3,6,9 new: 1,3,6
9 removed from C7 old: 1,3,6,7,9 new: 1,3,6,7
9 removed from C8 old: 1,2,3,6,9 new: 1,2,3,6
9 removed from A5 old: 1,3,6,9 new: 1,3,6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6,7) (1,3,4,6) 9 | (3,7) 2 5 | (1,3,6,7) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (3,7,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,6,9) |
| J | (4,5,7,8) (4,5) 6 | (3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: B4(3,7) is the only cell with 7 in its column, changed to solution. solved: 33/81
7 removed from B1 old: 1,4,6,7 new: 1,4,6
7 removed from B7 old: 1,3,6,7 new: 1,3,6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6) (1,3,4,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (3,7,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 (2,6) | 8 (2,5,6,9) (2,6,9) |
| J | (4,5,7,8) (4,5) 6 | (3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: H6(2,6) is the only cell with 2 in its column, changed to solution. solved: 34/81
2 removed from H8 old: 2,5,6,9 new: 5,6,9
2 removed from H9 old: 2,6,9 new: 6,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6) (1,3,4,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (3,7,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,3,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (4,5,7,8) (4,5) 6 | (3,5) (1,3,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED PAIR: G4(3,5) J4(3,5) have linked hints 3,5
3 removed from G5 old: 1,3,6,8 new: 1,6,8
3 removed from J5 old: 1,3,8 new: 1,8
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6) (1,3,4,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,5,6) (3,7,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,4,6,9) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (4,7,8) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (4,5,7,8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED TRIPLE: G2(4,5,9) H2(5,9) J2(4,5) have linked hints 4,5,9
4 removed from B2 old: 1,3,4,6 new: 1,3,6
5 removed from C2 old: 1,2,3,5,6 new: 1,2,3,6
4,9 removed from D2 old: 3,4,6,9 new: 3,6
4 removed from G3 old: 4,7,8 new: 7,8
4,5 removed from J1 old: 4,5,7,8 new: 7,8
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | (1,4,6) (1,3,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,6) (3,7,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (4,6,9) (3,6) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,4,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,4,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7,8) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (7,8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: B1(1,4,6) is the only cell with 4 in its row, changed to solution. solved: 35/81
4 removed from D1 old: 4,6,9 new: 6,9
4 removed from E1 old: 1,4,9 new: 1,9
4 removed from F1 old: 1,4,6,9 new: 1,6,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (1,6,7) (1,2,3,6) (3,7) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | 4 (1,3,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | (1,5,6,7,8) (1,2,3,6) (3,7,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6,9) (3,6) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7,8) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (7,8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: C1(1,5,6,7,8) is the only cell with 5 in its row, changed to solution. solved: 36/81
NAKED TRIPLE: D1(6,9) E1(1,9) F1(1,6,9) have linked hints 1,6,9
1,6 removed from A1 old: 1,6,7 new: 7
6 removed from D2 old: 3,6 new: 3
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | (7) (1,2,3,6) (3,7) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,7,9) |
| B | 4 (1,3,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,3,6) (3,7,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6,9) (3) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7,8) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (7,8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: A1(7) has single hint 7, changed to solution. solved: 37/81
7 removed from A3 old: 3,7 new: 3
7 removed from A9 old: 1,2,3,6,7,9 new: 1,2,3,6,9
7 removed from J1 old: 7,8 new: 8
7 removed from C3 old: 3,7,8 new: 3,8
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,3,6) (3) | 8 (1,3,6) 4 | 5 (1,2,3,6,9) (1,2,3,6,9) |
| B | 4 (1,3,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,3,6) (3,8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6,9) (3) (3,4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7,8) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: A3(3) has single hint 3, changed to solution. solved: 38/81
3 removed from A2 old: 1,2,3,6 new: 1,2,6
3 removed from A5 old: 1,3,6 new: 1,6
3 removed from A8 old: 1,2,3,6,9 new: 1,2,6,9
3 removed from A9 old: 1,2,3,6,9 new: 1,2,6,9
3 removed from C3 old: 3,8 new: 8
3 removed from D3 old: 3,4 new: 4
3 removed from B2 old: 1,3,6 new: 1,6
3 removed from C2 old: 1,2,3,6 new: 1,2,6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (1,6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) (8) | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6,9) (3) (4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7,8) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: C3(8) has single hint 8, changed to solution. solved: 39/81
8 removed from G3 old: 7,8 new: 7
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (1,6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6,9) (3) (4) | 1 (4,9) 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: D2(3) has single hint 3, changed to solution. solved: 40/81
NAKED-SINGLE: D3(4) has single hint 4, changed to solution. solved: 41/81
4 removed from D5 old: 4,9 new: 9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (1,6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6,9) 3 4 | 1 (9) 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 (4,9) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: D5(9) has single hint 9, changed to solution. solved: 42/81
9 removed from D1 old: 6,9 new: 6
9 removed from F5 old: 4,9 new: 4
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (1,6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 (4) 8 | (1,3,4,6,9) (1,3,4,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: F5(4) has single hint 4, changed to solution. solved: 43/81
4 removed from F7 old: 1,3,4,6,9 new: 1,3,6,9
4 removed from F8 old: 1,3,4,6,9 new: 1,3,6,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (1,6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) (7) | (3,5) (1,6,8) (1,6) | (1,3,4,6,7,9) (1,3,4,5,6,9) (1,3,6,7,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: G3(7) has single hint 7, changed to solution. solved: 44/81
7 removed from G7 old: 1,3,4,6,7,9 new: 1,3,4,6,9
7 removed from G9 old: 1,3,6,7,9 new: 1,3,6,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (1,6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) (1,6,8) (1,6) | (1,3,4,6,9) (1,3,4,5,6,9) (1,3,6,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | (8) (4,5) 6 | (3,5) (1,8) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: J1(8) has single hint 8, changed to solution. solved: 45/81
8 removed from J5 old: 1,8 new: 1
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (1,6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (1,3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) (1,6,8) (1,6) | (1,3,4,6,9) (1,3,4,5,6,9) (1,3,6,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) (1) 9 | (1,3,4,7) (1,2,3,4,5) (1,2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: J5(1) has single hint 1, changed to solution. solved: 46/81
1 removed from J7 old: 1,3,4,7 new: 3,4,7
1 removed from J8 old: 1,2,3,4,5 new: 2,3,4,5
1 removed from J9 old: 1,2,3,7 new: 2,3,7
1 removed from A5 old: 1,6 new: 6
1 removed from C5 old: 1,3,6 new: 3,6
1 removed from G5 old: 1,6,8 new: 6,8
1 removed from G6 old: 1,6 new: 6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2,6) 3 | 8 (6) 4 | 5 (1,2,6,9) (1,2,6,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (3,6) (1,6) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) (6,8) (6) | (1,3,4,6,9) (1,3,4,5,6,9) (1,3,6,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3,4,7) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: A5(6) has single hint 6, changed to solution. solved: 47/81
6 removed from A2 old: 1,2,6 new: 1,2
6 removed from A8 old: 1,2,6,9 new: 1,2,9
6 removed from A9 old: 1,2,6,9 new: 1,2,9
6 removed from C5 old: 3,6 new: 3
6 removed from G5 old: 6,8 new: 8
6 removed from C6 old: 1,6 new: 1
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 (3) (1) | (1,3,6,7) (1,2,3,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) (8) (6) | (1,3,4,6,9) (1,3,4,5,6,9) (1,3,6,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3,4,7) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: C5(3) has single hint 3, changed to solution. solved: 48/81
3 removed from C7 old: 1,3,6,7 new: 1,6,7
3 removed from C8 old: 1,2,3,6 new: 1,2,6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (1,2,6) 8 | 9 3 (1) | (1,6,7) (1,2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) (8) (6) | (1,3,4,6,9) (1,3,4,5,6,9) (1,3,6,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3,4,7) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: C6(1) has single hint 1, changed to solution. solved: 49/81
1 removed from C2 old: 1,2,6 new: 2,6
1 removed from C7 old: 1,6,7 new: 6,7
1 removed from C8 old: 1,2,6 new: 2,6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | (6,7) (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | (6) 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,6,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) (8) (6) | (1,3,4,6,9) (1,3,4,5,6,9) (1,3,6,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3,4,7) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: D1(6) has single hint 6, changed to solution. solved: 50/81
6 removed from F1 old: 1,6,9 new: 1,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | (6,7) (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) (8) (6) | (1,3,4,6,9) (1,3,4,5,6,9) (1,3,6,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3,4,7) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: G5(8) has single hint 8, changed to solution. solved: 51/81
NAKED-SINGLE: G6(6) has single hint 6, changed to solution. solved: 52/81
6 removed from G7 old: 1,3,4,6,9 new: 1,3,4,9
6 removed from G8 old: 1,3,4,5,6,9 new: 1,3,4,5,9
6 removed from G9 old: 1,3,6,9 new: 1,3,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | (6,7) (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) 8 6 | (1,3,4,9) (1,3,4,5,9) (1,3,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3,4,7) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: C7(6,7) is the only cell with 7 in its row, changed to solution. solved: 53/81
7 removed from J7 old: 3,4,7 new: 3,4
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | 7 (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | (1,4,9) 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) 8 6 | (1,3,4,9) (1,3,4,5,9) (1,3,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3,4) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
HIDDEN-SINGLE: E7(1,4,9) is the only cell with 4 in its row, changed to solution. solved: 54/81
4 removed from G7 old: 1,3,4,9 new: 1,3,9
4 removed from J7 old: 3,4 new: 3
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,3,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | 7 (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,3,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) 8 6 | (1,3,9) (1,3,4,5,9) (1,3,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (3,5) 1 9 | (3) (2,3,4,5) (2,3,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: J7(3) has single hint 3, changed to solution. solved: 55/81
3 removed from J4 old: 3,5 new: 5
3 removed from J8 old: 2,3,4,5 new: 2,4,5
3 removed from J9 old: 2,3,7 new: 2,7
3 removed from B7 old: 1,3,6 new: 1,6
3 removed from F7 old: 1,3,6,9 new: 1,6,9
3 removed from G7 old: 1,3,9 new: 1,9
3 removed from G8 old: 1,3,4,5,9 new: 1,4,5,9
3 removed from G9 old: 1,3,9 new: 1,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | 7 (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3,5) 8 6 | (1,9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4,5) 6 | (5) 1 9 | 3 (2,4,5) (2,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: J4(5) has single hint 5, changed to solution. solved: 56/81
5 removed from J2 old: 4,5 new: 4
5 removed from J8 old: 2,4,5 new: 2,4
5 removed from G4 old: 3,5 new: 3
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | 7 (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (4,5,9) 7 | (3) 8 6 | (1,9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 (4) 6 | 5 1 9 | 3 (2,4) (2,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: G4(3) has single hint 3, changed to solution. solved: 57/81
NAKED-SINGLE: J2(4) has single hint 4, changed to solution. solved: 58/81
4 removed from J8 old: 2,4 new: 2
4 removed from G2 old: 4,5,9 new: 5,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,2,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | 7 (2,6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5,9) 7 | 3 8 6 | (1,9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 4 6 | 5 1 9 | 3 (2) (2,7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: J8(2) has single hint 2, changed to solution. solved: 59/81
2 removed from J9 old: 2,7 new: 7
2 removed from A8 old: 1,2,9 new: 1,9
2 removed from C8 old: 2,6 new: 6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1,6) (1,3,6) 8 |
| C | 5 (2,6) 8 | 9 3 1 | 7 (6) 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,6,9) (1,3,6,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5,9) 7 | 3 8 6 | (1,9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,6,9) (6,9) |
| J | 8 4 6 | 5 1 9 | 3 2 (7) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: J9(7) has single hint 7, changed to solution. solved: 60/81
NAKED-SINGLE: C8(6) has single hint 6, changed to solution. solved: 61/81
6 removed from C2 old: 2,6 new: 2
6 removed from B8 old: 1,3,6 new: 1,3
6 removed from F8 old: 1,3,6,9 new: 1,3,9
6 removed from H8 old: 5,6,9 new: 5,9
6 removed from B7 old: 1,6 new: 1
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (1,9) (1,2,9) |
| B | 4 (1,6) 9 | 7 2 5 | (1) (1,3) 8 |
| C | 5 (2) 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (1,6,9) (1,3,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5,9) 7 | 3 8 6 | (1,9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,9) (6,9) |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: B7(1) has single hint 1, changed to solution. solved: 62/81
1 removed from B2 old: 1,6 new: 6
1 removed from B8 old: 1,3 new: 3
1 removed from F7 old: 1,6,9 new: 6,9
1 removed from G7 old: 1,9 new: 9
1 removed from A8 old: 1,9 new: 9
1 removed from A9 old: 1,2,9 new: 2,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (9) (2,9) |
| B | 4 (6) 9 | 7 2 5 | 1 (3) 8 |
| C | 5 (2) 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (6,9) (1,3,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5,9) 7 | 3 8 6 | (9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,9) (6,9) |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: B8(3) has single hint 3, changed to solution. solved: 63/81
3 removed from F8 old: 1,3,9 new: 1,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1,2) 3 | 8 6 4 | 5 (9) (2,9) |
| B | 4 (6) 9 | 7 2 5 | 1 3 8 |
| C | 5 (2) 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (6,9) (1,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5,9) 7 | 3 8 6 | (9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,9) (6,9) |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: C2(2) has single hint 2, changed to solution. solved: 64/81
2 removed from A2 old: 1,2 new: 1
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1) 3 | 8 6 4 | 5 (9) (2,9) |
| B | 4 (6) 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (6,9) (1,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5,9) 7 | 3 8 6 | (9) (1,4,5,9) (1,9) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5,9) (6,9) |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: G7(9) has single hint 9, changed to solution. solved: 65/81
9 removed from G2 old: 5,9 new: 5
9 removed from G8 old: 1,4,5,9 new: 1,4,5
9 removed from G9 old: 1,9 new: 1
9 removed from F7 old: 6,9 new: 6
9 removed from H8 old: 5,9 new: 5
9 removed from H9 old: 6,9 new: 6
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1) 3 | 8 6 4 | 5 (9) (2,9) |
| B | 4 (6) 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (1,9) |
| F | (1,9) 7 5 | 2 4 8 | (6) (1,9) (1,3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5) 7 | 3 8 6 | 9 (1,4,5) (1) |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5) (6) |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: G9(1) has single hint 1, changed to solution. solved: 66/81
1 removed from G8 old: 1,4,5 new: 4,5
1 removed from E9 old: 1,9 new: 9
1 removed from F9 old: 1,3,6,9 new: 3,6,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1) 3 | 8 6 4 | 5 (9) (2,9) |
| B | 4 (6) 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (9) |
| F | (1,9) 7 5 | 2 4 8 | (6) (1,9) (3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5) 7 | 3 8 6 | 9 (4,5) 1 |
| H | 3 (5,9) 1 | 4 7 2 | 8 (5) (6) |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: H8(5) has single hint 5, changed to solution. solved: 67/81
5 removed from H2 old: 5,9 new: 9
5 removed from G8 old: 4,5 new: 4
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1) 3 | 8 6 4 | 5 (9) (2,9) |
| B | 4 (6) 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (9) |
| F | (1,9) 7 5 | 2 4 8 | (6) (1,9) (3,6,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5) 7 | 3 8 6 | 9 (4) 1 |
| H | 3 (9) 1 | 4 7 2 | 8 5 (6) |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: H9(6) has single hint 6, changed to solution. solved: 68/81
6 removed from F9 old: 3,6,9 new: 3,9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 (1) 3 | 8 6 4 | 5 (9) (2,9) |
| B | 4 (6) 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (9) |
| F | (1,9) 7 5 | 2 4 8 | (6) (1,9) (3,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5) 7 | 3 8 6 | 9 (4) 1 |
| H | 3 (9) 1 | 4 7 2 | 8 5 6 |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: A2(1) has single hint 1, changed to solution. solved: 69/81
NAKED-SINGLE: A8(9) has single hint 9, changed to solution. solved: 70/81
9 removed from A9 old: 2,9 new: 2
9 removed from F8 old: 1,9 new: 1
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 1 3 | 8 6 4 | 5 9 (2) |
| B | 4 (6) 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1,9) 8 2 | 6 5 3 | 4 7 (9) |
| F | (1,9) 7 5 | 2 4 8 | (6) (1) (3,9) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5) 7 | 3 8 6 | 9 (4) 1 |
| H | 3 (9) 1 | 4 7 2 | 8 5 6 |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: A9(2) has single hint 2, changed to solution. solved: 71/81
NAKED-SINGLE: B2(6) has single hint 6, changed to solution. solved: 72/81
NAKED-SINGLE: E9(9) has single hint 9, changed to solution. solved: 73/81
9 removed from E1 old: 1,9 new: 1
9 removed from F9 old: 3,9 new: 3
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 1 3 | 8 6 4 | 5 9 2 |
| B | 4 6 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1) 8 2 | 6 5 3 | 4 7 9 |
| F | (1,9) 7 5 | 2 4 8 | (6) (1) (3) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5) 7 | 3 8 6 | 9 (4) 1 |
| H | 3 (9) 1 | 4 7 2 | 8 5 6 |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: F7(6) has single hint 6, changed to solution. solved: 74/81
NAKED-SINGLE: F8(1) has single hint 1, changed to solution. solved: 75/81
1 removed from F1 old: 1,9 new: 9
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
|r,c| 1 2 3 | 4 5 6 | 7 8 9 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| A | 7 1 3 | 8 6 4 | 5 9 2 |
| B | 4 6 9 | 7 2 5 | 1 3 8 |
| C | 5 2 8 | 9 3 1 | 7 6 4 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| D | 6 3 4 | 1 9 7 | 2 8 5 |
| E | (1) 8 2 | 6 5 3 | 4 7 9 |
| F | (9) 7 5 | 2 4 8 | 6 1 (3) |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
| G | 2 (5) 7 | 3 8 6 | 9 (4) 1 |
| H | 3 (9) 1 | 4 7 2 | 8 5 6 |
| J | 8 4 6 | 5 1 9 | 3 2 7 |
|---|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|
NAKED-SINGLE: F9(3) has single hint 3, changed to solution. solved: 76/81
NAKED-SINGLE: G2(5) has single hint 5, changed to solution. solved: 77/81
NAKED-SINGLE: G8(4) has single hint 4, changed to solution. solved: 78/81
NAKED-SINGLE: H2(9) has single hint 9, changed to solution. solved: 79/81
NAKED-SINGLE: E1(1) has single hint 1, changed to solution. solved: 80/81
NAKED-SINGLE: F1(9) has single hint 9, changed to solution. solved: 81/81
7 1 3 8 6 4 5 9 2
4 6 9 7 2 5 1 3 8
5 2 8 9 3 1 7 6 4
6 3 4 1 9 7 2 8 5
1 8 2 6 5 3 4 7 9
9 7 5 2 4 8 6 1 3
2 5 7 3 8 6 9 4 1
3 9 1 4 7 2 8 5 6
8 4 6 5 1 9 3 2 7
27.0012ms
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