There is a naked pair 57 in r5c9,r6c7 (marked x, no other digits possible)
So r4c7 can't be 7, must be 1 (*).
- Code: Select all
7 . 4 | . 8 . | . . .
. . 5 | . 2 . | . 4 9
2 . . | . 4 .| 3 . 8
-------+-------+------
5 . . | 4 . . | * . .
3 4 2 | . . . | 8 6 x
1 . . | 6 . . | x . 4
-------+-------+------
9 2 . | . 1 7 | 4 . .
. 5 1 | . 9 4 | 2 . .
4 7 3 | 2 6 5 | 9 8 1
Alternatively you could have seen the 239-hidden triple in r4c89,r6c8 (x) (can't be in r5c9 or r46c7), leaving only r4c7 for 1.
- Code: Select all
7 . 4 | . 8 . | . . .
. . 5 | . 2 . | . 4*9
2 . . | . 4 .|*3 . 8
-------+-------+------
5 . . | 4 . . | * x x
*3 4*2 | . . . | 8 6 .
1 . . | 6 . . | . x 4
-------+-------+------
9 2 . | . 1 7 | 4 . .
. 5 1 | . 9 4 |*2 . .
4 7 3 | 2 6 5 |*9 8 1
57 can't be in r3c23 or r3c6 (because of the *-marked 57's)
So you have a hidden pair 57 in r3c48, leaving only r1c8 for 1 in box 3.
- Code: Select all
*7 . 4 | . 8 . | . # .
. .*5 | . 2 . | . 4 9
2 . . | x 4 . | 3 x 8
-------+-------+------
5 . . | 4 . . | 1 . .
3 4 2 | . . . | 8 6 x
1 . . | 6 . . | x . 4
-------+-------+------
9 2 . | . 1*7 | 4 . .
. 5 1 | . 9 4 | 2 . .
4 7 3 | 2 6*5 | 9 8 1