How would I solve something like this?

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How would I solve something like this?

Postby Bunny » Tue Sep 17, 2019 2:37 pm

Could someone explain please? Thanks♡
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Bunny
 
Posts: 3
Joined: 17 September 2019

Re: How would I solve something like this?

Postby SpAce » Wed Sep 18, 2019 4:37 am

Hi Bunny,

Probably the easiest possibility is a W-Wing:

Code: Select all
.--------------.-----------------.---------------.
| 8    257   3 | *45    457   9  | 1   6    257  |
| 179  579   6 |  15    2     3  | 8   4    579  |
| 179  2579  4 |  8     157   6  | 3   57   2579 |
:--------------+-----------------+---------------:
| 47   67    1 |  46-5  3    *45 | 2   9    8    |
| 49   69    8 |  7     14    2  | 56  135  1356 |
| 5    3     2 |  169   189   18 | 4   17   167  |
:--------------+-----------------+---------------:
| 3    4     5 |  2     19    7  | 69  8    16   |
| 2    8     7 | *149   6    *14 | 59  135  135  |
| 6    1     9 |  3     58    58 | 7   2    4    |
'--------------'-----------------'---------------'

Either r8c4 or r8c6 is a 4 (only two possibilities in row 8), so either r1c4 or r4c6 must be a 5. Therefore r4c4 can't be a 5, leaving a hidden single in r4c6. The rest is singles.

Another relatively easy possibility is a XYZ-Wing:

Code: Select all
.--------------.----------------.---------------.
| 8    257   3 | 45    457   9  | 1   6    257  |
| 179  579   6 | 15    2     3  | 8   4    579  |
| 179  2579  4 | 8     157   6  | 3   57   2579 |
:--------------+----------------+---------------:
| 47   67    1 | 456   3     45 | 2   9    8    |
| 49   69    8 | 7     4-1   2  | 56  135  1356 |
| 5    3     2 | 169  *189  *18 | 4   17   167  |
:--------------+----------------+---------------:
| 3    4     5 | 2    *19    7  | 69  8    16   |
| 2    8     7 | 149   6     14 | 59  135  135  |
| 6    1     9 | 3     58    58 | 7   2    4    |
'--------------'----------------'---------------'

At least one of the three starred cells must be a 1 (see what happens if not). Therefore r5c5 (which sees all of them) can't be a 1, so it must be a 4. Again, the rest is singles.
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Re: How would I solve something like this?

Postby Bunny » Thu Sep 19, 2019 6:31 pm

Yeah the W-Wing makes sense. Thank you very much C:
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