champagne # 205 # (226263) #

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champagne # 205 # (226263) #

Postby Pat » Mon Apr 22, 2013 3:25 pm



    this puzzle requires "advanced" moves

    1.......2.2.3..4....5....1..4.67.......8.5..9....91....3....8....8....4.9...5...1

    [ play ]

Code: Select all

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

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Re: champagne # 205 # (226263) #

Postby Leren » Mon Apr 22, 2013 9:49 pm

Solves with basics + 4 XWings 9,5,2,8. A single move solution - not even close :(

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Re: champagne # 205 # (226263) #

Postby pjb » Mon Apr 22, 2013 9:54 pm

Code: Select all
1      6789   3      | 5      68     4      | 679    6789   2     
678    2      67     | 3      1      679    | 4      56789  5678   
4      6789   5      | 79     268    2679   | 679    1      3     
---------------------+----------------------+---------------------
258    4      9      | 6      7      3      | 1      258    58     
2367   167    12     | 8      4      5      | 2367   2367   9     
35678  5678   67     | 2      9      1      | 3567   35678  4     
---------------------+----------------------+---------------------
2567   3      14     | 14     26     2679   | 8      25679  567   
2567   1567   8      | 179    3      2679   | 25679  4      567   
9      67     24     | 47     5      8      | 2367   2367   1     


Following basics, it only needs X-wings and basics:

X-Wing of 9s at r27c68
Finned X-Wing of 2s at r59c3, r589c7
X-Wing of 5s at r68c27
Naked triplets of 267 at r8c169
X-Wing of 2s at r59c37
Naked quads of 3678 at r1569c8
X-Wing of 8s at r24c19
Naked triplets of 367 at r56c1 and r6c3

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Postby Pat » Tue Apr 23, 2013 9:29 am

Leren wrote:Solves with basics + 4 XWings 9,5,2,8

    thanks,
    that matches my path,
    4 X-wings + 2 triplets (+ some lesser moves)

    making it 6 times "superior"
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Re: champagne # 205 # (226263) #

Postby SudoQ » Tue Apr 23, 2013 9:48 am

Code: Select all
|-----------------|----------------|--------------------|
| 1      6789  3  | 5    68   4    | 679    6789   2    |
| 678    2     67 | 3    1    679  | 4      56789  5678 |
| 4      6789  5  | 79   268  2679 | 679    1      3    |
|-----------------|----------------|--------------------|
| 258    4     9  | 6    7    3    | 1      258    58   |
| 2367   167   12 | 8    4    5    | 2367   2367   9    |
| 35678 (5)678 67 | 2    9    1    |3(5)67  35678  4    |
|-----------------|----------------|--------------------|
| 2567   3    (14)| 14   26   2679 | 8     567(29) 567  |
| 2567 (5)67-1  8 | 179  3    2679 |(259)67  4     567  |
| 9      67   (24)| 47   5    8    |(2)367 (2)367  1    |
|-----------------|----------------|--------------------|

Q9(2):
r9c78=2 -> r9c3=4 -> r7c3=1 ->
r8c7 =2 ->           r6c7=5 ->
r7c8 =2 -> r8c7=9 ->   ""   -> r8c2=5 => r8c2<>1
/SudoQ
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Re: champagne # 205 # (226263) #

Postby Leren » Tue Apr 23, 2013 12:06 pm

Code: Select all
*-----------------------------------------------------------------------*
| 1     e6789   3       | 5      68     4       | 679    6789   2       |
|f678    2     f67      | 3      1      679     | 4      56789 g5678    |
| 4     e6789   5       | 79     268    2679    | 679    1      3       |
|-----------------------+-----------------------+-----------------------|
| 258    4      9       | 6      7      3       | 1      258   g58      |
| 2367  d167    12      | 8      4      5       | 2367   2367   9       |
| 35678  5678   67      | 2      9      1       | 3567   35678  4       |
|-----------------------+-----------------------+-----------------------|
| 2567   3     b14      | 14     26     2679    | 8      25679 h567     |
| 2567  c1567   8       | 179    3      2679    | 25679  4     h567     |
| 9     d67    a4-2     | 47     5      8       |i2367  i2367   1       |
*-----------------------------------------------------------------------*

(2-4) r9c3 = (4-1) r7c3 = r8c2 - (1=67) r59c2 - (67=89) r13c2 - (8=67) r2c13 - (67=58) r24c9 - (5=67) r78c9 - (67=23) r9c78 => -2 r9c3; stte :D

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Re: champagne # 205 # (226263) #

Postby 7b53 » Tue Apr 23, 2013 1:35 pm

Leren wrote:(2-4) r9c3 = (4-1) r7c3 = r8c2 - (1=67) r59c2 - (67=89) r13c2 - (8=67) r2c13 - (67=58) r24c9 - (5=67) r78c9 - (67=23) r9c78 => -2 r9c3; stte :D
this chain taken us around the world... :lol: (little joke)

ok... combinig this and SudoQ's elimination r8c2<>1 = stte
(5)X-wing r68c27
(5)r8c2 = (5)r8c7 - (5=67)r78c9 - (67=23)r9c78 - (2=4)r9c3 - (4=1)r7c3 => r8c2 <> 1
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Re: champagne # 205 # (226263) #

Postby eleven » Tue Apr 23, 2013 7:49 pm

SudoQ wrote:
Code: Select all
|-----------------|----------------|--------------------|
| 1      6789  3  | 5    68   4    | 679    6789   2    |
| 678    2     67 | 3    1    679  | 4      56789  5678 |
| 4      6789  5  | 79   268  2679 | 679    1      3    |
|-----------------|----------------|--------------------|
| 258    4     9  | 6    7    3    | 1      258    58   |
| 2367   167   12 | 8    4    5    | 2367   2367   9    |
| 35678 (5)678 67 | 2    9    1    |3(5)67  35678  4    |
|-----------------|----------------|--------------------|
| 2567   3    (14)| 14   26   2679 | 8     567(29) 567  |
| 2567 (5)67-1  8 | 179  3    2679 |(259)67  4     567  |
| 9      67   (24)| 47   5    8    |(2)367 (2)367  1    |
|-----------------|----------------|--------------------|

Q9(2):
r9c78=2 -> r9c3=4 -> r7c3=1 ->
r8c7 =2 ->           r6c7=5 ->
r7c8 =2 -> r8c7=9 ->   ""   -> r8c2=5 => r8c2<>1

Nice find. The point is, that 5r8c7 implies 2r9c78, because the 9 in r7c8 then blocks the other 2.
5r8c2=r6c2-r6c7=(5-29)r8c7[=9r7c8]=2r8c78-(2=4)r9c4-(4=1)r7c3 => r8c2<>1
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Re: champagne # 205 # (226263) #

Postby SudoQ » Wed Apr 24, 2013 10:21 am

eleven wrote:Nice find.

Thanks,
You can also view r8c7+r7c8 as a potential (29) hidden pair.

/SudoQ
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Re: champagne # 205 # (226263) #

Postby Marty R. » Wed Apr 24, 2013 10:28 pm

Code: Select all
+--------------+-------------+-----------------+
| 1    6789 3  | 5  68  4    | 679  678   2    |
| 678  2    67 | 3  1   679  | 4    56789 5678 |
| 4    6789 5  | 79 268 2679 | 679  1     3    |
+--------------+-------------+-----------------+
| 258  4    9  | 6  7   3    | 1    258   58   |
| 2367 167  12 | 8  4   5    | 2367 2367  9    |
| 3678 5678 67 | 2  9   1    | 3567 3678  4    |
+--------------+-------------+-----------------+
| 2567 3    14 | 14 26  2679 | 8    25679 567  |
| 267  15   8  | 19 3   267  | 59   4     67   |
| 9    67   24 | 47 5   8    | 2367 2367  1    |
+--------------+-------------+-----------------+

Play this puzzle online at the Daily Sudoku site

I guess I didn't notice enough X-Wings. After Wings on 5 and 9 I was left with the above.

(9=5)r8c7-(567=23)r78c9r9c78-(2=4)r9c7-(4=7)r9c4-(7=9)r3c4=>r8c4<>9
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