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 Unsolvable 5x5? 
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Posted on: Fri Aug 05, 2016 12:15 am




Posts: 955
Location: Ukraine
Joined: Tue Mar 01, 2016 10:03 pm
Post Unsolvable 5x5?
I got interrupted doing my first 5x5 yesterday and I got what seemed to me an unsolvable puzzle next time round. I've taken a screenshot of the puzzle. How do I go about posting it here?


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Posted on: Fri Aug 05, 2016 4:04 am




Posts: 300
Joined: Fri Jun 17, 2011 8:15 pm
Post Re: Unsolvable 5x5?
paulv66 wrote:
I got interrupted doing my first 5x5 yesterday and I got what seemed to me an unsolvable puzzle next time round. I've taken a screenshot of the puzzle. How do I go about posting it here?

You can upload it to imgur.com without opening an account/setting up a profile, etc. I think there is an upload option in the nav options across the top of the page. Then you can post the link here.


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Posted on: Fri Aug 05, 2016 6:10 am




Posts: 955
Location: Ukraine
Joined: Tue Mar 01, 2016 10:03 pm
Post Re: Unsolvable 5x5?
jaek wrote:
paulv66 wrote:
I got interrupted doing my first 5x5 yesterday and I got what seemed to me an unsolvable puzzle next time round. I've taken a screenshot of the puzzle. How do I go about posting it here?

You can upload it to imgur.com without opening an account/setting up a profile, etc. I think there is an upload option in the nav options across the top of the page. Then you can post the link here.


Thanks. I don't seem to be able to locate the nav options. Where exactly are they?


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Posted on: Fri Aug 05, 2016 8:00 am




Posts: 3295
Joined: Thu May 12, 2011 11:58 pm
Post Re: Unsolvable 5x5?
paulv66 wrote:
I got interrupted doing my first 5x5 yesterday and I got what seemed to me an unsolvable puzzle next time round. I've taken a screenshot of the puzzle. How do I go about posting it here?


You could also send me the screenshot and I'll add it to the post.


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Posted on: Fri Aug 05, 2016 10:38 am




Posts: 955
Location: Ukraine
Joined: Tue Mar 01, 2016 10:03 pm
Post Re: Unsolvable 5x5?
pnm wrote:
paulv66 wrote:
I got interrupted doing my first 5x5 yesterday and I got what seemed to me an unsolvable puzzle next time round. I've taken a screenshot of the puzzle. How do I go about posting it here?


You could also send me the screenshot and I'll add it to the post.


Thanks Patrick

Do you have an email address I can send it to? I can't figure out how to send it as an attachment to a PM.


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Posted on: Fri Aug 05, 2016 11:27 am




Posts: 3295
Joined: Thu May 12, 2011 11:58 pm
Post Re: Unsolvable 5x5?
paulv66 wrote:
Do you have an email address I can send it to? I can't figure out how to send it as an attachment to a PM.

I'm guessing there's an email address somewhere on the main puzzle page [lol]


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Posted on: Fri Aug 05, 2016 3:27 pm




Posts: 955
Location: Ukraine
Joined: Tue Mar 01, 2016 10:03 pm
Post Re: Unsolvable 5x5?
pnm wrote:
paulv66 wrote:
Do you have an email address I can send it to? I can't figure out how to send it as an attachment to a PM.

I'm guessing there's an email address somewhere on the main puzzle page [lol]


Sorry, not very alert today. I've send an email.

Thanks
Paul


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Posted on: Fri Aug 05, 2016 3:43 pm




Posts: 3295
Joined: Thu May 12, 2011 11:58 pm
Post Re: Unsolvable 5x5?
paulv66 wrote:
Sorry, not very alert today. I've send an email.


Thanks.

Here's the puzzle:

Image

and the reasoning:

paulv66 wrote:
My reasoning is as follows. The 3: cell must be 1,3. It follows from this that the 3- cell must be 2,5 and e5 must be 4. The\
40x cell must be 2,4,5. Therefore a4 and b4 must be 1,3. A4 is in a 12+ cell and therefore must be 3. But a5 and b5 must t\
hen be 4,5 which is impossible because e5 is 4. Where am I going wrong?


5 points for the first one to spot the flaw [tongue]


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Posted on: Fri Aug 05, 2016 4:19 pm




Posts: 25
Joined: Sat Dec 27, 2014 7:10 pm
Post Re: Unsolvable 5x5?
Hello Patrick and paulv66!
The error in the enclosed analysis is that the 40x cage consists of 4 cells, not 3! Since there is already a 4 ar e4, one of the remaining 3 cells must have a 1 in it. This will allow a 4 to be placed at a4 with a 3 and a 5 at positions a5 and b5.
(It was always a given that it would be solvable!)
wjm


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Posted on: Fri Aug 05, 2016 5:20 pm




Posts: 955
Location: Ukraine
Joined: Tue Mar 01, 2016 10:03 pm
Post Re: Unsolvable 5x5?
wjm wrote:
Hello Patrick and paulv66!
The error in the enclosed analysis is that the 40x cage consists of 4 cells, not 3! Since there is already a 4 ar e4, one of the remaining 3 cells must have a 1 in it. This will allow a 4 to be placed at a4 with a 3 and a 5 at positions a5 and b5.
(It was always a given that it would be solvable!)
wjm


Thanks! I'm such an idiot. I somehow or other got it into into my head that e5 was a single cell and the 40x was the other 3 cells. I also need to stop saying cell when I mean cage!


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