The New Sudoku Players' Forum

[ArkieTech]

Today's One Trick Pony took me one trick (Turbot) but I had to use it three times.
Can anyone see a single advanced trick that will solve this puzzle?

000080000200009000309005600000003006807120500040800000000000761600700004008030000

Code: Select all

 *--------------------------------------------------------------------------------------*
 | 157      1567     1456     | 234      8        17       | 12349    1234579  23579    |
 | 2        1578     145      | 34       6        9        | 134      13457    3578     |
 | 3        178      9        | 24       17       5        | 6        1247     278      |
 |----------------------------+----------------------------+----------------------------|
 | 159      1259     125      | 59       47       3        | 48       478      6        |
 | 8        36       7        | 1        2        46       | 5        349      39       |
 | 59       4        36       | 8        59       67       | 123      1237     237      |
 |----------------------------+----------------------------+----------------------------|
 | 459      23       23       | 59       459      8        | 7        6        1        |
 | 6        159      15       | 7        159      2        | 38       38       4        |
 | 147      17       8        | 6        3        14       | 29       259      259      |
 *--------------------------------------------------------------------------------------*


[Steve R]

A W-Wing does the trick, I think.

Candidates (17) are in r1c6 and r9c2. These two cells are linked by the conjugates for 7 in the first column so one of them must contain 1. Eliminating 1 from r9c6 gets you home.

Steve

[ArkieTech]

Steve R said:

A W-Wing does the trick

Beautiful! I had forgotten all about w-wings.

While looking at this pattern I see it could also be a turbot with r3c5=1

Thanks,

dan

[hobiwan]

Another possibility is a remote pair in r6c15, r47c4 for digits 5 and 9 (eliminates 5 and 9 from r7c1).

Edit: changed r1c7 to r7c1

[ArkieTech]

Hobiwan said

Another possibility is a remote pair in r6c15, r47c4 for digits 5 and 9 (eliminates 5 and 9 from r1c7).

Another forgotten technique! Excellent. Thank You.

Thanks again for the help.

dan

[hobiwan]

Shouldn't it be r7c1 instead of r1c7?

You are right of course, I edited my post.

[StrmCkr]

how about an

empty rectangle

solves puzzle as singles.

EMPTY RECTANGLE: 5 taken off r7c1 - ERI: r4c1, b=r7c4
EMPTY RECTANGLE: 7 taken off r1c8 - ERI: r6c8, b=r1c6
EMPTY RECTANGLE: 9 taken off r7c1 - ERI: r4c1, b=r7c4

i used box/line interactions to get down to the same grid listed above.

then apply one emptly rectangle and it solves as singles via box/line interaction.

another option is the

Death bloossom pattern (used three times. ) (after box line interactions down to inital spot posted above)

DEATH BLOSSOM: ([ALS:r1c6] and [ALS:r4c3|r6c3|r7c3|r8c3]) + Stem:r6c6 means 1 can be removed from r1c3

DEATH BLOSSOM: ([ALS:r3c5] and [ALS:r8c2|r8c3|r9c2]) + Stem:r8c5 means 7 can be removed from r3c2

DEATH BLOSSOM: ([ALS:r9c6] and [ALS:r1c1|r4c1|r6c1|r7c1]) + Stem:r1c6 means 4 can be removed from r7c5

[ArkieTech]

StrmCkr said

Code: Select all

 *--------------------------------------------------------------------------------------*
 | 157      1567     1456     | 234      8        17       | 12349    1234579  23579    |
 | 2        1578     145      | 34       6        9        | 134      13457    3578     |
 | 3        178      9        | 24       17       5        | 6        1247     278      |
 |----------------------------+----------------------------+----------------------------|
 | 159      1259     125      | 59       47       3        | 48       478      6        |
 | 8        36       7        | 1        2        46       | 5        349      39       |
 | 59       4        36       | 8        59       67       | 123      1237     237      |
 |----------------------------+----------------------------+----------------------------|
 | 459      23       23       | 59       459      8        | 7        6        1        |
 | 6        159      15       | 7        159      2        | 38       38       4        |
 | 147      17       8        | 6        3        14       | 29       259      259      |
 *--------------------------------------------------------------------------------------*
DEATH BLOSSOM: ([ALS:r9c6] and [ALS:r1c1|r4c1|r6c1|r7c1]) + Stem:r1c6 means 4 can be removed from r7c5

This one is exactly what I needed -- resulting in singles the rest of the way out. Thanks. Death Blossom is on my study list.

dan