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[ArkieTech]

Code: Select all

 *-----------*
 |...|...|43.|
 |...|15.|...|
 |..6|...|27.|
 |---+---+---|
 |.7.|...|..9|
 |.1.|.7.|..8|
 |...|..2|...|
 |---+---+---|
 |4.8|...|1..|
 |2.3|...|...|
 |...|96.|...|
 *-----------*


Play/Print this puzzle online

[SpAce]

Code: Select all

.-------------.---------------------------.-----------.
| 9    8  1   |    67       2        67   | 4   3   5 |
| 7    2  4   |    1        5        3    | 8   9   6 |
| 5    3  6   | ac(84)      89-4    b89   | 2   7   1 |
:-------------+---------------------------+-----------:
| 368  7  25  |    3568-4  a18[+4]  b18+6 | 56  24  9 |
| 36   1  259 |    356-4    7        69   | 56  24  8 |
| 68   4  59  |    568      89       2    | 7   1   3 |
:-------------+---------------------------+-----------:
| 4    9  8   |    2        3        5    | 1   6   7 |
| 2    6  3   | a(#8)7      18+     b18+7 | 9   5   4 |
| 1    5  7   |    9        6        4    | 3   8   2 |
'-------------'---------------------------'-----------'

UR(18)r48c56 using mixed +internals / #external

(4)r4c5|(48)r38c4 == (618)r483c6 - (8=4)r3c4 => -4 r3c5,r45c4; stte

[SteveG48]

Code: Select all

 *--------------------------------------------------------------------*
 | 9      8      1      |a67     2      67     | 4      3      5      |
 | 7      2      4      | 1      5      3      | 8      9      6      |
 | 5      3      6      | 4-8   d489   d89     | 2      7      1      |
 *----------------------+----------------------+----------------------|
 | 368    7      25     | 34568  148    168    | 56     24     9      |
 | 36     1      259    | 3456   7      69     | 56     24     8      |
 | 68     4     b59     |a568   c89     2      | 7      1      3      |
 *----------------------+----------------------+----------------------|
 | 4      9      8      | 2      3      5      | 1      6      7      |
 | 2      6      3      |a78     18     178    | 9      5      4      |
 | 1      5      7      | 9      6      4      | 3      8      2      |
 *--------------------------------------------------------------------*


(8=675)r168c4 - (5=9)r6c3 - 9r6c5 = (98)r3c56 => -8 r3c4 ; stte

[Ngisa]

Code: Select all

+-------------------+-----------------------+-----------------+
| 9       8     1   | 67        2       67  | 4      3      5 |
| 7       2     4   | 1         5       3   | 8      9      6 |
| 5       3     6   | 48        489     89  | 2      7      1 |
+-------------------+-----------------------+-----------------+
| c368*   7     25  | 34568    e148    d168 | 56    f24     9 |
| 36      1    g25-9| 3456      7      a6*9 | 56    f24     8 |
| b68     4     59  | b568      89      2   | 7      1      3 |
+-------------------+-----------------------+-----------------+
| 4       9     8   | 2         3       5   | 1      6      7 |
| 2       6     3   | 78        18      178 | 9      5      4 |
| 1       5     7   | 9         6       4   | 3      8      2 |
+-------------------+-----------------------+-----------------+


(9=6*)r5c6 - (68)r6c14 = (8*)r4c1 - (6*8*=1)r4c6 - (18*=4)r4c5 - (42)r45c8 = (2)r5c3 => - 9r5c3; stte

Clement

[SpAce]

Hi Clement,

(9=6*)r5c6 - (68)r6c14 = (8*)r4c1 - (6*8*=1)r4c6 - (18*=4)r4c5 - (42)r45c8 = (2)r5c3 => - 9r5c3; stte

Your chains have improved a lot lately. I haven't seen anything wrong in a while, and you've started using even some advanced styles correctly (for example, (68)r6c14 above). This chain, however, has some problems, partly because you've overstretched that style.

The biggest problem is with the - (42)r45c8. If you write it like that you're saying that 4 and 2 can't be true together in r45c8. Obviously they must be, because there are no other candidates in those cells. You should either use my comma style (4,2)r45c8, which means 4 and 2 can't be true in that order, or probably easier is just to write it normally: (4=2)r4c8 - r5c8 = (2)r5c3.

Secondly, both of these nodes should have the '|': (6*|8*=1)r4c6 - (1|8*=4)r4c5. Nothing new there.

Third, some minor stylistic suggestions to improve the readability of memory chains. It's pretty confusing if the same marker (*) is used for multiple candidates. It would be better if you had, for example, (6*) and (8^) or something else, as long as they're different and have no other common meaning. Also, the receiving end should have the marker on the left side of the affected candidate, and it shouldn't be used when the receiving end is right next to the sending node (that's confusing too because it's a normal link). I've said all of this before, so nothing new there either.

So, with just those changes your chain would look like this:

(9=6*)r5c6 - (68)r6c14 = (8^)r4c1 - (8|*6=1)r4c6 - (1|^8=4)r4c5 - (4=2)r4c8 - r5c8 = (2)r5c3 => -9 r5c3; stte

However, you only need one memory and avoid the problem with the (42) if you use the AALS (124+68)r4c568:

(9=6*)r5c6 - (68)r6c14 = r4c1 - (8|*6=142)r4c568 - r5c8 = (2)r5c8 => -9 r5c3; stte

There. You're welcome. Free of charge.

[SpAce]

Are all of our MUG experts on vacation? This puzzle looks kind of muggy to me, but I'm no expert in that. Here's a couple of attempts anyway, though I'm not even sure about their correctness. Hope someone corrects me if they have mistakes. Even better if someone finds something neater.

Hidden Text: Show

Code: Select all

.----------------.------------------------.------------.
|  9    8   1    |  *67       2      *67  |  4   3   5 |
|  7    2   4    |   1        5       3   |  8   9   6 |
|  5    3   6    |  *48     a*48[+9]  89  |  2   7   1 |
:----------------+------------------------+------------:
| *368  7   25   | b*34568   *148    *168 | *56  24  9 |
| *36   1   259  | b*356+4    7       69  | *56  24  8 |
| *68   4  c5(9) | b*68+5     8-9     2   |  7   1   3 |
:----------------+------------------------+------------:
|  4    9   8    |   2        3       5   |  1   6   7 |
|  2    6   3    |  *78      *18     *178 |  9   5   4 |
|  1    5   7    |   9        6       4   |  3   8   2 |
'----------------'------------------------'------------'

MUG(134568)+3 using internals

(9)r3c5 == (5)r6c4|(435)r546c4 - (5=9)r6c3 => -9 r6c5; stte

Overlapping URs / BUG-Lites](36)r45c14
(56)r45c47
(68)r46c14
(48)r34c45
(678)r148c46

Code: Select all

.-----------------.---------------------------.-------------.
|   9    8   1    |   67        2       67    |  4    3   5 |
|   7    2   4    |   1         5       3     |  8    9   6 |
|   5    3   6    |   48        489     89    |  2    7   1 |
:-----------------+---------------------------+-------------:
|  *368  7  *25   |  *34568    *148  d*(1)8-6 | *56  *24  9 |
|  *36   1  *25+9 |  *3456      7      a9[#6] | *56  *24  8 |
| b*68   4  c59   | b*8(+5)-6  b89      2     |  7    1   3 |
:-----------------+---------------------------+-------------:
|   4    9   8    |   2         3       5     |  1    6   7 |
|   2    6   3    |   78       c18     c178   |  9    5   4 |
|   1    5   7    |   9         6       4     |  3    8   2 |
'-----------------'---------------------------'-------------'


MUG(234568)+2 using mixed internal/external

(6)r5c6 == (568)r6c415 - (81)r8c56|(5)r6c3 = (15)r4c6,r6c4 => -6 r4c6,r6c4; stte

Overlapping URs / BUG-Lites](36)r45c14
(56)r45c47
(68)r46c14
(245)r45c348

Nope, they weren't MUGs. Many thanks to eleven for taking a break from his break and informing me! I appreciate it. I had my doubts but couldn't know for sure.