The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |3..|.47|...|
 |..2|...|.3.|
 |.7.|3.5|..9|
 |---+---+---|
 |.8.|..6|.7.|
 |7..|2.1|..6|
 |.3.|7..|.9.|
 |---+---+---|
 |6..|4.8|.2.|
 |.2.|...|1..|
 |...|67.|..8|
 *-----------*


Play/Print this puzzle online

[SpAce]

Code: Select all

.----------------------.-------------.--------------------.
| 3        6      9    | 18  4     7 |  258    158   25   |
| 1458    b145    2    | 18  6     9 |  478    3    c47   |
| 148      7      148  | 3   2     5 |  6      148   9    |
:----------------------+-------------+--------------------:
| 12459    8      145  | 59  359   6 |  2345   7     1235 |
| 7      a[4]5-9  45   | 2   3589  1 |  3458   458   6    |
| 125      3      6    | 7   58    4 |  258    9     125  |
:----------------------+-------------+--------------------:
| 6       e5(9)   357  | 4   1     8 | d3579   2     35   |
| 48       2      478  | 59  59    3 |  1      6    d47   |
| 1459    b1459   1345 | 6   7     2 | c3459  c45    8    |
'----------------------'-------------'--------------------'

(4)r5c2 = r29c2 - r2c9&r9c78 = (47-9)b9p61 = (9)r7c2 => -9 r5c2; stte

[SteveG48]

Code: Select all

 *--------------------------------------------------------------------*
 | 3      6      9      | 18     4      7      | 258   g158   g25     |
 | 1458   145    2      | 18     6      9      | 478    3     g47     |
 | 148    7      148    | 3      2      5      | 6     g148    9      |
 *----------------------+----------------------+----------------------|
 | 12459  8     f145    |f59     359    6      | 2345   7     f1235   |
 | 7     d459   e45     | 2     e3589   1      |e3458  e458    6      |
 | 125    3      6      | 7      58     4      | 258    9      125    |
 *----------------------+----------------------+----------------------|
 | 6      59     357    | 4      1      8      | 3579   2      35     |
 |b48     2     b478    | 59     59     3      | 1      6     a4-7    |
 | 1459  c1459   1345   | 6      7      2      | 3459   45     8      |
 *--------------------------------------------------------------------*


4r8c9 = r8c13 - r9c2 = (4*)r5c2 - (4=58^39)r5c3578 - (*4|3|9=152)r4c349 - (2^8=1457)b3p2368 => -7 r8c9 ; stte

[SteveG48]

I like this better:

Code: Select all

 *--------------------------------------------------------------------*
 | 3      6      9      | 18     4      7      | 258    158    25     |
 | 1458  d145    2      | 18     6      9      | 478    3     d47     |
 |c148    7     c148    | 3      2      5      | 6      148    9      |
 *----------------------+----------------------+----------------------|
 | 12459  8      145    | 59     359    6      | 2345   7      1235   |
 | 7      459    45     | 2      3589   1      | 3458   458    6      |
 | 125    3      6      | 7      58     4      | 258    9      125    |
 *----------------------+----------------------+----------------------|
 | 6     a9-5   a357    | 4      1      8      | 3579   2     a35     |
 |c48     2    bc478    | 59     59     3      | 1      6     c47     |
 | 1459   1459   1345   | 6      7      2      | 3459   45     8      |
 *--------------------------------------------------------------------*


(9=357)r7c239 - 7r8c3 =4/8UR= (17)r2c13,r8c139 - (1|7=45)r2c29 => -5 r7c2 ; stte

[SpAce]

I like this better:

Me too! I think the first one actually has a problem with the second strong link 4r9c2=4r5c2 (there's also 4r2c2, as in my first link).

(9=357)r7c239 - 7r8c3 =4/8UR= (17)r2c13,r8c139 - (1|7=45)r2c29 => -5 r7c2 ; stte

Very nice! A couple of minor observations:

First, as written, the weak link following (17)r2c13,r8c139 doesn't work because of 7r8c3. Sure, we know it's not there, but the node doesn't. I would suggest an easy fix to lock the 7 in r8c9:

(9=357)r7c239 - (7)r38c13 =UR(48)= (17)r3c13,r8c9 - (1|7=45)r2c29 => -5 r7c2

Second, the cannibalistic elimination suggests we could possibly simplify something to exclude it from the chain. How about starting with:

(5=37)r7c39 ... ?

[SteveG48]

Very nice! A couple of minor observations:

First, as written, the weak link following (17)r2c13,r8c139 doesn't work because of 7r8c3. Sure, we know it's not there, but the node doesn't. I would suggest an easy fix to lock the 7 in r8c9:

(9=357)r7c239 - (7)r38c13 =UR(48)= (17)r3c13,r8c9 - (1|7=45)r2c29 => -5 r7c2

Actually, that is how I originally wrote the third term. Then I realized that I hadn't included all 4 of the cells involved in the UR, so I figured I needed to add them in, overlooking the problem that created with placing the 7. Your fix in the second term is elegant. I like it.

Second, the cannibalistic elimination suggests we could possibly simplify something to exclude it from the chain. How about starting with:

(5=37)r7c39 ... ?

Another good touch. I usually look for that type of simplification, but I missed it. Not sure whether that calls for one more margarita or one less.

[SpAce]

Not sure whether that calls for one more margarita or one less.

Oh, rarely have I seen as easy a question as that! More, of course. I'm not much of a drinker otherwise, but perfect margaritas are different. They're a form of divine sustenance. Too bad (or good?) they're not easy to find where I live. One more reason why I love visiting the US.