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No XY/XYZ-Wings: Set A Puzzle 4

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Mon Oct 27, 2008 7:44 am    Post subject: No XY/XYZ-Wings: Set A Puzzle 4 Reply with quote

Same Rules! You decide the difficulty.

Code:
 +-----------------------+
 | 5 . . | . . . | . 8 1 |
 | . . 9 | . 8 . | . . . |
 | . 1 3 | 6 . . | . . . |
 |-------+-------+-------|
 | . . 2 | . . 6 | . . 3 |
 | . 9 . | . 2 . | 6 1 . |
 | . . . | 8 . . | . . 2 |
 |-------+-------+-------|
 | . . . | . 6 . | 5 . 8 |
 | 1 . . | . 9 . | . 2 . |
 | 2 . . | 7 . 8 | 1 . 4 |
 +-----------------------+
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arkietech



Joined: 31 Jul 2008
Posts: 1728
Location: Northwest Arkansas USA

PostPosted: Mon Oct 27, 2008 12:15 pm    Post subject: Reply with quote

An x-wing kite skyscraper got me here
Code:

 *--------------------------------------------------*
 | 5    6    47   | 23   347  9    | 234  8    1    |
 | 47   2    9    | 135  8    137  | 34   6    57   |
 | 8    1    3    | 6    47   25   | 24   57   9    |
 |----------------+----------------+----------------|
 | 47   457  2    | 9    1    6    | 8    45   3    |
 | 3    9    8    | 45   2    47   | 6    1    57   |
 | 6    45   1    | 8    37   357  | 9    457  2    |
 |----------------+----------------+----------------|
 | 9    47   47   | 12   6    12   | 5    3    8    |
 | 1    8    5    | 34   9    34   | 7    2    6    |
 | 2    3    6    | 7    5    8    | 1    9    4    |
 *--------------------------------------------------*
r7c4=1=r2c4=5=r2c9=7=r3c8=5=r7c6=2=r7c6=1=r7c4 => r7c4=1

Don't know what to call it other than nice Very Happy
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nataraj



Joined: 03 Aug 2007
Posts: 1029
Location: Vienna, Austria

PostPosted: Mon Oct 27, 2008 12:27 pm    Post subject: Reply with quote

percieved difficulty: vh++

easy start: x-wing (5) cols 4,9
skyscraper (7) cols 1,9: r4c8<>7
and coloring (7) box3,r5: r3c6<>7

not so easy: UR (45) with strong links 4 and 5: r4c2<>4, r6c8<>5

not easy at all:
"useless" w-wing (7)r4c2=r2c9 (via sl (5) col 8), transported in one of many possible ways (e.g. a,b... and u,v) to remove 7 from r6c5 (and r2c6).
Code:

+--------------------------+--------------------------+--------------------------+
| 5       6       47c      | 23      347d    9        | 234     8       1        |
| 47b     2       9        | 135     8       13-7     | 34      6       57#      |
| 8       1       3        | 6       47v     25       | 24      57#u    9        |
+--------------------------+--------------------------+--------------------------+
| 47a     57#     2        | 9       1       6        | 8       45#     3        |
| 3       9       8        | 45      2       47       | 6       1       57       |
| 6       45      1        | 8       3-7     357      | 9       47      2        |
+--------------------------+--------------------------+--------------------------+
| 9       47      47       | 12      6       12       | 5       3       8        |
| 1       8       5        | 34      9       34       | 7       2       6        |
| 2       3       6        | 7       5       8        | 1       9       4        |
+--------------------------+--------------------------+--------------------------+

(I just hope I did not accidentally use an xy-wing this time)
This leads to a BUG+1 (r2c4=3).
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Mon Oct 27, 2008 3:07 pm    Post subject: Reply with quote

nataraj wrote:
"useless" w-wing ... transported ...
The same can be done with the UR 45
Code:

 *-----------------------------------------------*
 | 5   6   *47  | 23  *347  9    | 234  8    1   |
 | 47  2    9   | 135  8    13-7 | 34   6   *57  |
 | 8   1    3   | 6    47   25-7 | 24  @57   9   |
 |--------------+----------------+---------------|
 | 47 #457  2   | 9    1    6    | 8   #457  3   |
 | 3   9    8   | 45   2   *47   | 6    1   *57  |
 | 6  #457  1   | 8    3-7  357  | 9   #457  2   |
 |--------------+----------------+---------------|
 | 9  @47  *47  | 12   6    12   | 5    3    8   |
 | 1   8    5   | 34   9    34   | 7    2    6   |
 | 2   3    6   | 7    5    8    | 1    9    4   |
 *-----------------------------------------------*

Either r7c2=4 or r3c8=5
r7c2=4 => r7c3=7 => r1c5=7
r3c8=5 => r2c9=7 => r5c6=7
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Mon Oct 27, 2008 8:07 pm    Post subject: Reply with quote

Or, dealing only with <7>s in that 45 UR:
(7)r5c6=(7)r5c9 - UR[(7)r46c8=(7)r46c2] - (7)r4c1=(7)r2c1 - (7)r1c3=(7)r1c5
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