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Puzzle 10/07/04: XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Jul 05, 2010 1:35 am    Post subject: Puzzle 10/07/04: XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +-----------------------------------------------------------------------+
 |  9      8      147    |  2567   167    15     |  1345   1235   1245   |
 |  6      3      14     |  25     8      9      |  7      125    1245   |
 |  5      17     2      |  3      17     4      |  8      6      9      |
 |-----------------------+-----------------------+-----------------------|
 |  12347  24     137    |  8      14     6      |  9      1235   12457  |
 |  1347   9      6      |  14     5      2      |  134    8      147    |
 |  124    5      8      |  9      3      7      |  14     12     6      |
 |-----------------------+-----------------------+-----------------------|
 |  48     6      135    |  14     9      138    |  2      7      15     |
 |  137    17     9      |  57     2      135    |  6      4      8      |
 |  248    24     157    |  67     1467   18     |  15     9      3      |
 +-----------------------------------------------------------------------+
 # 77 eliminations remain
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Jul 05, 2010 6:09 am    Post subject: Reply with quote

after basics, there is an almost almost AIC
its better visualized as a Kraken cell in r9c5.

Code:
+-------------------+-------------------+-------------------+
| 9      8     147  | 2567  167     15  | 1345  1235  1245  |
| 6      3     14   | 25    8       9   | 7     125   1245  |
| 5      7(1)  2    | 3     7(1)    4   | 8     6     9     |
+-------------------+-------------------+-------------------+
| 12347  24    137  | 8     (14)    6   | 9     1235  12457 |
| 1347   9     6    | 14    5       2   | 134   8     147   |
| 124    5     8    | 9     3       7   | 14    12    6     |
+-------------------+-------------------+-------------------+
| 48     6     135  | 14    9       138 | 2     7     15    |
| 137    (17)  9    | 5-7   2       135 | 6     4     8     |
| 248    24    15-7 | (67)  (1467)  18  | 15    9     3     |
+-------------------+-------------------+-------------------+


but the AIC in question is the w-wing on {1,7}
pincers in r8c2 and r9c5.

if the 4 and the 6 are both false in r9c5, then the w-wing is true.
(7=1)r8c2 - (1)r3c2 = (1)r3c5 - (1=7)r9c5; r8c4 and r9c3 <> 7

4 true = (4)r9c5 - (4=1)r4c5 - (1)r3c5 = (1)r3c2 - (1=7)r8c2

6 true = (6)r9c5 - (6=7)r9c4



kraken cell r9c5, each truth proves the 7 can't exist in r8c4 and r9c3

(1)r9c5 - (1)r3c5 = (1)r3c2 - (1=7)r8c2
||
(4)r9c5 - (4=1)r4c5 - (1)r3c5 = (1)r3c2 - (1=7)r8c2
||
(6)r9c5 - (6=7)r9c4
||
(7)r9c5

-----

the {1,7} cells also make up a classic remote pair.


others would write this AIC as follows
(67)r9c45 = (14)r49c5 - (1)r3c5 = (1)r3c2 - (1=7)r8c2

neither the 67 pair nor the 7 can both be false.
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Mon Jul 05, 2010 12:35 pm    Post subject: Reply with quote

An ANT using a similar chain did it for me...

ANT(138) (138=5)r789c6 - (5=7)r8c4 - (7=1)r8c2 - (1=7)r3c2 - (7=1)r3c5; r1c6<>1, r9c5<>1
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tlanglet



Joined: 17 Oct 2007
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Location: Northern California Foothills

PostPosted: Mon Jul 05, 2010 1:49 pm    Post subject: Reply with quote

Three steps.........

Quote:
xy-wing 14-8 vertex r7c4; r7c6,r9c1<>8

Almost flightless xy-wing 1-57 vertex r8c2 and fin (3)r7c3
If xy-wing is true: (5)r7c3-r7c9=(5)r9c7 & (5)r8c4-r8c6=(5)r1c6; r1c7<>5
If fin is true: (3)r7c3-(3=1)r7c6-(1=5)r1c6; r1c7<>5

Remote Pair 17 r3c5=>r9c3; r9c5<>17

Ted
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Jul 05, 2010 5:09 pm    Post subject: Reply with quote

Not unsurprisingly, there's also a nearly ALS xz...working with all the same suspects....

A={1,2,3,4,5,6,7} (Pink)
B={6,7} (Green)
x=6
z=7 at r9c3 (Blue)..solves the puzzle..well not quite

There is a 7 in r1c4 that spoils the party but if that 7 is true then r8c4 and r9c3<> 7 and puzzle solved.

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peterj



Joined: 26 Mar 2010
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Location: London, UK

PostPosted: Mon Jul 05, 2010 5:42 pm    Post subject: Reply with quote

Following on from ttt's comments in Other Puzzles, it might be simpler to see the flip side of the ALS as a smaller Almost Hidden Pair(67) in r1c45. If r1c3 not 7 then forms the HP in r1 which forms a naked pair in c4 which makes r8c4<>7 and puts a 7 in r8c12 - making the same elimination as the AlS/ALS.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Jul 05, 2010 6:09 pm    Post subject: Reply with quote

Complementary, Dear Watson. Nice spot Peter.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Jul 05, 2010 7:48 pm    Post subject: Reply with quote

MM: Wonderful ALS_XZ Exclamation I think your initial "MM" really stands for "Mogul Magic"

Peter: Very, very nice ANT Exclamation

Also peter, I was wondering how tp annotate your second solution with the AHP(67).

Ted
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Mon Jul 05, 2010 8:39 pm    Post subject: Reply with quote

tlanglet wrote:
Also peter, I was wondering how tp annotate your second solution with the AHP(67).

I'm having a little trouble seeing where you're going, Peter, so the notation would help me too.

I do see this one using that hp:
Code:
+-----------------------------------------------------------------------+
 |  9      8      147    |  2567   167    15     |  1345   1235   1245   |
 |  6      3      14     |  25     8      9      |  7      125    1245   |
 |  5      17     2      |  3      17     4      |  8      6      9      |
 |-----------------------+-----------------------+-----------------------|
 |  12347  24     137    |  8      14     6      |  9      1235   12457  |
 |  1347   9      6      |  14     5      2      |  134    8      147    |
 |  124    5      8      |  9      3      7      |  14     12     6      |
 |-----------------------+-----------------------+-----------------------|
 |  48     6      135    |  14     9      138    |  2      7      15     |
 |  137    17     9      |  57     2      135    |  6      4      8      |
 |  248    24     157    |  67     1467   18     |  15     9      3      |
 +-----------------------------------------------------------------------+


hp(67)r1c45=(7)r1c3-r9c3=r8c12-(7=5)r8c4-(5=2)r2c4 =>r1c4<>2
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peterj



Joined: 26 Mar 2010
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Location: London, UK

PostPosted: Mon Jul 05, 2010 8:45 pm    Post subject: Reply with quote

tlanglet wrote:
Also peter, I was wondering how tp annotate your second solution with the AHP(67)


I'll have a stab at it!
(7)r1c3=(67-251)r1c45=(67)r19c4-(7)r8c4=(7)r8c12; r9c3<>7
Maybe....
[Edit - added]
Code:
 +------------------------------------------------------------------------+
 |  9      8      14+7a  |  67c+25b 67+1b   15    |  1345   1235   1245   |
 |  6      3      14     |  25      8      9      |  7      125    1245   |
 |  5      17     2      |  3       17     4      |  8      6      9      |
 |-----------------------+------------------------+-----------------------|
 |  12347  24     137    |  8       14     6      |  9      1235   12457  |
 |  1347   9      6      |  14      5      2      |  134    8      147    |
 |  124    5      8      |  9       3      7      |  14     12     6      |
 |-----------------------+------------------------+-----------------------|
 |  48     6      135    |  14      9      138    |  2      7      15     |
 |  13+7e  1+7e   9      |  5+7d    2      135    |  6      4      8      |
 |  248    24     15-7   |  67c     1467   18     |  15     9      3      |
 +------------------------------------------------------------------------+ 

(Apologies if I have not used right conventions - not clear as to what is the accepted practise)
[Meta Comment: Off on vacation for a week in Spain!]
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Tue Jul 06, 2010 4:23 am    Post subject: Reply with quote

peterj wrote:
tlanglet wrote:
Also peter, I was wondering how tp annotate your second solution with the AHP(67)


I'll have a stab at it!
(7)r1c3=(67-251)r1c45=(67)r19c4-(7)r8c4=(7)r8c12; r9c3<>7
Maybe....
[Edit - added]
Code:
 +------------------------------------------------------------------------+
 |  9      8      14+7a  |  67c+25b 67+1b   15    |  1345   1235   1245   |
 |  6      3      14     |  25      8      9      |  7      125    1245   |
 |  5      17     2      |  3       17     4      |  8      6      9      |
 |-----------------------+------------------------+-----------------------|
 |  12347  24     137    |  8       14     6      |  9      1235   12457  |
 |  1347   9      6      |  14      5      2      |  134    8      147    |
 |  124    5      8      |  9       3      7      |  14     12     6      |
 |-----------------------+------------------------+-----------------------|
 |  48     6      135    |  14      9      138    |  2      7      15     |
 |  13+7e  1+7e   9      |  5+7d    2      135    |  6      4      8      |
 |  248    24     15-7   |  67c     1467   18     |  15     9      3      |
 +------------------------------------------------------------------------+ 

(Apologies if I have not used right conventions - not clear as to what is the accepted practise)
[Meta Comment: Off on vacation for a week in Spain!]

Sorry, Peter, you have lost me on this one.

Small matter. What is important is that you will be in Spain when they face Germany in the World Cup with the finals on the line. Even if you're not a football fan I urge you to watch the game with the biggest group of locals you can find.

If Spain wins, you will have the night of your life celebrating with them!
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jul 06, 2010 6:47 am    Post subject: Reply with quote

Have a great time Peter! That will be a great occasion - Spain have never won the world cup or even giot this far so the place will be at fever xx. A small tip - if you are large and/or fair haired (as I am) be careful you are not mistaken for a German (as I am, continually!).

Of course, I can't vouch for what might happen if Spain lose!



Last edited by Mogulmeister on Tue Jul 06, 2010 9:59 am; edited 2 times in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jul 06, 2010 7:16 am    Post subject: Reply with quote

The notational point is a good one Ted as it does present some interesting challenges. As Danny et al have previously mentioned: how to notate in a meaningful but comprehensible fashion ? As you can see from Peter's notation, the hidden pair is implicit - how to make it explicit ? I can see Ronk and others having fun with this.....

Peter spotted that the complement to my ALS is an almost hidden pair (67) similar to the situation uncovered by ttt elsewhere*. It is implicit and conditional on there being no 7 in r1c3.

A very small suggestion would be to flag the AHP. This might be better than a footnote.....purists probably won't like it but someone coming after might......

7(r1c3)=AHP(67-125)r1c45=(67)r19c4-(7)r8c4=(7)r8c12; r9c3<>7

* http://www.dailysudoku.com/sudoku/forums/viewtopic.php?t=4816&start=13&sid=bd0d2f63e5298277b7021b4af71fc0c2


Last edited by Mogulmeister on Tue Jul 06, 2010 8:12 am; edited 1 time in total
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Mogulmeister



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Posts: 1151

PostPosted: Tue Jul 06, 2010 7:35 am    Post subject: Reply with quote

I guess strictly speaking because of the position, the AHP above is just HP.

So the AHP should be more precise ??

AHP [7(r1c3)=(67-125)r1c45]=(67)r19c4-(7)r8c4=(7)r8c12; r9c3<>7
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jul 06, 2010 7:58 am    Post subject: Reply with quote

Luke451 wrote:


Sorry, Peter, you have lost me on this one.

Small matter. What is important is that you will be in Spain when they face Germany in the World Cup with the finals on the line. Even if you're not a football fan I urge you to watch the game with the biggest group of locals you can find.

If Spain wins, you will have the night of your life celebrating with them!


I was in Amsterdam back in '93 on business and England were playing Holland in a World Cup group game so I dropped into a packed bar in the Leidesplein to see the game.

We got beat fair and square and I was the only Brit in the bar but I can honestly say I never had to pay for a single drink during and after the game. I was treated like royalty.
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Marty R.



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Posts: 5770
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PostPosted: Wed Jul 07, 2010 3:35 am    Post subject: Reply with quote

I used :

ERs (4,1)
Implications of UR (67)
W-Wing (15)
XYZ-Transport (167)
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Thu Jul 08, 2010 4:22 am    Post subject: Reply with quote

I wonder how Peter's night went (Spain 1, Deutschland nil) Very Happy......

Now that the off-topic barrier has given way to outright hijacking, here's my story.

One of the nights of my life was on the Fourth of July, 2006.

We were on vacation in Europe and got caught up in football fever as we traveled from Barcelona to Italy over the course of two weeks. On the night of the 4th we were on the second of four days in Venice, and that evening was Italy/Germany in the semis of the 2006 World Cup in Deutschland. I scouted out a place to watch the game and (naturally) I found St. Luke's Square near the Ponte de Rialta Bridge.

"Campo San Luca" has a tiny neighborhood bar called "Union Jack" in one corner, shops, restaurants, and a disco. Seven winding Venetian alleys meet at this one Campo, which turned out to be fortunate later in the night.

After dinner we set up camp at the little bar and the women went across the square to the disco. The front of the bar was completely open to the square, no doors or walls. When the game started a crush of guys were behind us, straining to see one of the two little TVs.

As the night went on things started to get a little wild. I could hear shouts of "Limoncello!" coming from across the campo as folks in the disco (including our ladies it turned out) were downing shots of the ghastly sweet lemon liqueur. There was no scoring in regulation, so when it went into extra time the anxiety got ratcheted up through the roof.

Then....a corner kick by Italy, an artful pass off the side of the foot and BOOM! Such a hard clean goal as you ever saw. The place just erupted and I was soon stunned to realize there seemed to be about a hundred people behind us now. You can imagine the bedlam.

It seems like just minutes later Italy got a fast counterattack going, there was another great pass, a breakaway and BOOM, another goal! What happened next can only be described as being swept away in a crush of delirious joy. As noisy as things got when the game ended 2-0, a strange echo could be heard above the din. Something was approaching the campo and it was getting louder and louder.

At that point two wild guys with Italian flags held high above their heads burst around the corner. Behind came dozens more, all literally screaming at the top of their lungs. They didn't stop running when they hit the square, they just kept running around and around in a vortex, sweeping us all into the mix. A few minutes later, they swooshed off down the alley and were off to the next square.

That turned out to be just the beginning, as wave after wave swept into the campo from one of the seven alleys and it started all over again. I must have shouted "Viva Italia!!" a hundred times. When things finally settled down we were completely exhausted, soaked to the bone with champagne spray. We realized we had been laughing, yelling and running like madmen for a solid half hour. If you've ever wondered how people celebrate a big win in a town without horns to honk, now you know. When in Rome....

About one in the morning I was back on the dock of our hotel on the Grand Canal, shoes off and my dogs in the cool water. It was all quiet on the western front and my cousin sat down beside me. I just said, "I can't believe where we are tonight..." His reply was, "The right place at the right time."

Years later I still have a soft spot in my heart for the Italian National team...
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Mogulmeister



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PostPosted: Thu Jul 08, 2010 6:42 am    Post subject: Reply with quote

Great story Luke - I woke up in Siena last year with a particularly evil limoncello hangover.

I have a feeling that when they show their faces in public, the Italian team members will find lots of people trying to find their "soft spots".
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