# The Jealous Neighbors

**URL:** <https://community.cartalk.com/t/the-jealous-neighbors/113562>\
**Category:** The Show\
**Created:** [March 12, 2018, 4:33pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562 "2018-03-12T16:33:50Z")\
**Posts on this page:** 19\
**Page:** 1

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**Author:** ![JV919](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/jv919/32/11269_2.png) [@JV919](https://community.cartalk.com/u/JV919)\
**Post date:** [March 12, 2018, 4:33pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/1 "2018-03-12T16:33:50Z")

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The answer to the “Jealous Neighbors” Puzzler on 3 March was wrong, wrong, wrongity, wrong.

Forget that A-B nonsense. Leave the squares numbered 1 to 25, and move every resident one square clockwise. That is, in the outer ring, 1 goes to 2, 2 goes to 3, 3 goes to 4, 4 goes to 5, 5 goes to 10, 10 goes to 15, and so forth in a circle. Do the same thing in the two inner rings. That leaves the square in the center, lucky #13, unmoved. He swaps with any of his neighbors.

26 moves. QED.

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**Author:** ![texases](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/texases/32/862_2.png) [@texases](https://community.cartalk.com/u/texases)\
**Post date:** [March 12, 2018, 5:33pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/2 "2018-03-12T17:33:17Z")

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Any number of ways doing it as you describe. I thought their ‘it’s impossible’ answer bogus, too, because it implies a rule not stated in the question: that all moves must happen at the same time.

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**Author:** ![JV919](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/jv919/32/11269_2.png) [@JV919](https://community.cartalk.com/u/JV919)\
**Post date:** [March 12, 2018, 5:47pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/3 "2018-03-12T17:47:29Z")

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You’re surely correct. Their error.

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**Author:** ![VOLVO-V70](https://avatars.discourse-cdn.com/v4/letter/v/8e8cbc/32.png) [@VOLVO-V70](https://community.cartalk.com/u/VOLVO-V70)\
**Post date:** [March 12, 2018, 8:19pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/4 "2018-03-12T20:19:21Z")

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> [@JV919](#):
>
> You’re surely correct. Their error.

From years ago.

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**Author:** ![bing](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/bing/32/4619_2.png) [@bing](https://community.cartalk.com/u/bing)\
**Post date:** [March 13, 2018, 1:23am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/5 "2018-03-13T01:23:47Z")

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It’s possible that I’m not the only one here that doesn’t have the foggiest idea what you are talking about. I haven’t heard the radio show since the last trip to Ohio months ago.

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**Author:** ![VOLVO-V70](https://avatars.discourse-cdn.com/v4/letter/v/8e8cbc/32.png) [@VOLVO-V70](https://community.cartalk.com/u/VOLVO-V70)\
**Post date:** [March 13, 2018, 1:28am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/6 "2018-03-13T01:28:07Z")

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I wonder if JV919 knows there have not been any new shows for years and very few stations that are even broadcasting reruns.

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**Author:** ![texases](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/texases/32/862_2.png) [@texases](https://community.cartalk.com/u/texases)\
**Post date:** [March 13, 2018, 1:46am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/7 "2018-03-13T01:46:18Z")

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If you sign up for puzzler emails this one ‘s solution just came out today.

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**Author:** ![JV919](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/jv919/32/11269_2.png) [@JV919](https://community.cartalk.com/u/JV919)\
**Post date:** [March 13, 2018, 1:59am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/8 "2018-03-13T01:59:37Z")

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WAMU, the American University public radio station, broadcasts and streams Car Talk every Saturday morning at 10. Car Talk Plaza podcasts the same show. Yes they are old shows. So what?

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**Author:** ![insightful](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/insightful/32/2732_2.png) [@insightful](https://community.cartalk.com/u/insightful)\
**Post date:** [March 13, 2018, 2:26am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/9 "2018-03-13T02:26:30Z")

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a[quote=“JV919, post:1, topic:113562”]  
That leaves the square in the center, lucky #13, unmoved. He swaps with any of his neighbors.  
[/quote]

Sorry, but wouldn’t that mean that whoever ends up in your #13 will have moved into an apartment on a diagonal from his original location?

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**Author:** ![insightful](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/insightful/32/2732_2.png) [@insightful](https://community.cartalk.com/u/insightful)\
**Post date:** [March 13, 2018, 9:43pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/10 "2018-03-13T21:43:26Z")

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> [@texases](#):
>
> Any number of ways doing it as you describe. I thought their ‘it’s impossible’ answer bogus, too, because it implies a rule not stated in the question: that all moves must happen at the same time.

Forget the process. Can you produce a final arrangement in which everyone ends up in an apartment adjacent to his original?

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**Author:** ![texases](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/texases/32/862_2.png) [@texases](https://community.cartalk.com/u/texases)\
**Post date:** [March 13, 2018, 10:06pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/11 "2018-03-13T22:06:04Z")

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Now that I re-read the puzzler, the requirement that each neighbor end up only one square removed from their starting point means there isn’t a solution I can think of. The one I had ended up with a neighbor two squares removed.

So not so ‘bogus’, after all!

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**Author:** ![insightful](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/insightful/32/2732_2.png) [@insightful](https://community.cartalk.com/u/insightful)\
**Post date:** [March 14, 2018, 12:07am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/12 "2018-03-14T00:07:48Z")

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> [@JV919](#):
>
> 26 moves. QED.

Uh…no.

(How about a check mark for me solving your problem?)

;-]

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**Author:** ![JV919](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/jv919/32/11269_2.png) [@JV919](https://community.cartalk.com/u/JV919)\
**Post date:** [March 14, 2018, 12:52am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/13 "2018-03-14T00:52:41Z")

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So what if it does? There’s no rule against that.

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**Author:** ![JV919](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/jv919/32/11269_2.png) [@JV919](https://community.cartalk.com/u/JV919)\
**Post date:** [March 14, 2018, 12:53am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/14 "2018-03-14T00:53:31Z")

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Have you actually read the puzzler?

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<div class="post-metadata">

**Author:** ![insightful](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/insightful/32/2732_2.png) [@insightful](https://community.cartalk.com/u/insightful)\
**Post date:** [March 14, 2018, 1:56am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/15 "2018-03-14T01:56:08Z")

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> [@JV919](#):
>
> Have you actually read the puzzler?

Yes, but apparently you haven’t:

> RAY: Right. Remember, each person is jealous of his adjacent neighbor. Not his diagonal neighbor, but the person up or down or left or right of him. Each aspires to move into the apartment of his adjacent neighbor.

Do you know what “adjacent” means??

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**Author:** ![George\_San\_Jose1](https://avatars.discourse-cdn.com/v4/letter/g/e5b9ba/32.png) [@George\_San\_Jose1](https://community.cartalk.com/u/George_San_Jose1)\
**Post date:** [March 14, 2018, 2:18am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/16 "2018-03-14T02:18:50Z")

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> [@JV919](#):
>
> So what if it does? There’s no rule against that.

I think the problem with your sol’n OP is that when the people in #13 move to an adjacent apartment at the end (which is indeed consistent with the puzzle for the people in #13), the people in that apartment have to move to #13. And those people lived on the diagonal to #13 prior to their rotation. In other words to become adjacent to #13 after the rotation, they had to be on the diagonal to #13 before the rotation. People moving to a diagonal apartment isn’t allowed. The same A,B,A,B … logic that applies to the 25 position square also applies to the inner 9 position square, maybe a little easier to see why it is impossible that way.

> [@bing](#):
>
> It’s possible that I’m not the only one here that doesn’t have the foggiest idea what you are talking about. I haven’t heard the radio show since the last trip to Ohio months ago.

You can read the recent puzzlers, very easy to do. Click on [CarTalk.Com](http://CarTalk.Com) at the top left of this page, then Our Show, then Puzzler. The one in question is the second week in March as I recall.

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<div class="post-metadata">

**Author:** ![bing](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/bing/32/4619_2.png) [@bing](https://community.cartalk.com/u/bing)\
**Post date:** [March 14, 2018, 2:42am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/17 "2018-03-14T02:42:38Z")

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No thanks. Life is enough of a puzzler without adding math problems to it.

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<div class="post-metadata">

**Author:** ![George\_San\_Jose1](https://avatars.discourse-cdn.com/v4/letter/g/e5b9ba/32.png) [@George\_San\_Jose1](https://community.cartalk.com/u/George_San_Jose1)\
**Post date:** [April 6, 2018, 9:58pm UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/18 "2018-04-06T21:58:49Z")

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I think the _Jealous Neighbors_ puzzler has been resolved w/Ray being correct. But I heard another puzzler recently which I thought the hint was a little misleading. About a diy’er who replaced his front calipers and couldn’t get a hard pedal after that, no matter how much he bled the brakes. Finally after replacing several other parts and consulting several inde shops and the dealership somebody spotted the problem, & he figured it out. Ray asked 'So how did he fix the problem? And here’s a hint: It didn’t cost any money." … stop reading here if you don’t want to know the answer …

* * *

The solution was the diye’r had inadvertently switched the R and L calipers, which put the bleed screws pointing down rather than up. Switching them back to the correct R/L position solved the problem. But it isn’t really accurate to say that didn’t cost anything imo. It cost the time needed to switch the calipers. True, for a diy’er there isn’t a direct money charge for labor. But there’s still a lost opportunity cost, and the hint imo is maybe a little misleading. Given the hint I was initially thinking it was some kind of 5 minute fix involving installing a screw or something.

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<div class="post-metadata">

**Author:** ![insightful](https://sea1.discourse-cdn.com/cartalk/user_avatar/community.cartalk.com/insightful/32/2732_2.png) [@insightful](https://community.cartalk.com/u/insightful)\
**Post date:** [April 7, 2018, 1:46am UTC](https://community.cartalk.com/t/the-jealous-neighbors/113562/19 "2018-04-07T01:46:42Z")

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> [@George\_San\_Jose1](#):
>
> But it isn’t really accurate to say that didn’t cost anything imo.

Of course, you’re right. They would probably put that in the “obfuscation” category of Puzzler formulation…

;-]
