# Futurama: The Prisoner of Benda

**URL:** <https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852>\
**Category:** Cafe Society\
**Created:** [August 20, 2010, 9:31am UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852 "2010-08-20T09:31:12Z")\
**Posts on this page:** 20\
**Page:** 2

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**Author:** ![pepperlandgirl](https://avatars.discourse-cdn.com/v4/letter/p/f17d59/32.png) [@pepperlandgirl](https://boards.straightdope.com/u/pepperlandgirl)\
**Post date:** [August 20, 2010, 11:21pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/21 "2010-08-20T23:21:51Z")

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I loved the episode. My favorite bits were the sight gags–when Farnsworth is in Amy’s body as he walks off all narrow-eyed and hunched over. Or Zoidberg walking sideways in Fry’s body.

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**Author:** ![Uosdwis\_R.Dewoh](https://avatars.discourse-cdn.com/v4/letter/u/9e8a1a/32.png) [@Uosdwis\_R.Dewoh](https://boards.straightdope.com/u/Uosdwis_R.Dewoh)\
**Post date:** [August 20, 2010, 11:42pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/22 "2010-08-20T23:42:03Z")

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All that fancy maths, the Devil’s science, was kinda unnecessary seeing as you could switch your mind with expendable wash-bucket robots.

Lets say Fry and Zoidberg need to switch bodies.

Zoidberg in Fry’s body —Switches mind—\> New Wash-bucket 1

Fry in Zoidberg’s body —\> New Wash-bucket 2

Wash-bucket 1 (Zoidberg) —\> Zoidberg

Wash-bucket 2 (Fry) —\> Fry

My solution will leave behind heaps of confused Wash-buckets, but science can’t move forward without heaps.

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**Author:** ![orcenio](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/orcenio/32/1036_2.png) [@orcenio](https://boards.straightdope.com/u/orcenio)\
**Post date:** [August 21, 2010, 12:18am UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/23 "2010-08-21T00:18:11Z")

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> [@Uosdwis\_R.Dewoh](#):
>
> All that fancy maths, the Devil’s science, was kinda unnecessary seeing as you could switch your mind with expendable wash-bucket robots.
> 
> Lets say Fry and Zoidberg need to switch bodies.
> 
> Zoidberg in Fry’s body —Switches mind—\> New Wash-bucket 1
> 
> Fry in Zoidberg’s body —\> New Wash-bucket 2
> 
> Wash-bucket 1 (Zoidberg) —\> Zoidberg
> 
> Wash-bucket 2 (Fry) —\> Fry
> 
> My solution will leave behind heaps of confused Wash-buckets, but science can’t move forward without heaps.

You wouldn’t need heaps of wash-buckets. Those two wash-buckets can now be used to switch **two more** futurama cast members back to normal; this can go on indefinitely. When the wash-buckets are done, they can just switch with **each other** (if they are not in their respective “wash-bucket bodies”).

Congrats! You’ve just experimentally derived “Sweet Clyde’s theorem.” Somewhat.

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**Author:** ![Uosdwis\_R.Dewoh](https://avatars.discourse-cdn.com/v4/letter/u/9e8a1a/32.png) [@Uosdwis\_R.Dewoh](https://boards.straightdope.com/u/Uosdwis_R.Dewoh)\
**Post date:** [August 21, 2010, 12:21am UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/24 "2010-08-21T00:21:15Z")

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I want my heap, dammit!

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**Author:** ![TheFifthYear](https://avatars.discourse-cdn.com/v4/letter/t/958977/32.png) [@TheFifthYear](https://boards.straightdope.com/u/TheFifthYear)\
**Post date:** [August 21, 2010, 12:31am UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/25 "2010-08-21T00:31:56Z")

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This episode was awesome. By far my favorite of the new season.

The Scruffy-washbucket section was perfect.

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**Author:** ![Sir\_T-Cups](https://avatars.discourse-cdn.com/v4/letter/s/ed655f/32.png) [@Sir\_T-Cups](https://boards.straightdope.com/u/Sir_T-Cups)\
**Post date:** [August 21, 2010, 12:48am UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/26 "2010-08-21T00:48:45Z")

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> [@twickster](#):
>
> > [@Sir\_T-Cups](#):
> >
> > Screw that…
> > 
> > [link removed]Go here and watch it.
> > 
> > The link itself is for episode one of this season…but every episode is on there, good picture/sound…and best of all IT’S FREE!!!
> 
> We have a strong preference hereabouts that people’s copyrights be honored, so I broke that link.
> 
> **twickster** , Cafe Society moderator

Oops, sorry…didn’t know I was being bad. I guess I figured it was ok since I originally got the link from a former thread.

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**Author:** ![cochrane](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/cochrane/32/10441_2.png) [@cochrane](https://boards.straightdope.com/u/cochrane)\
**Post date:** [August 21, 2010, 8:42am UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/27 "2010-08-21T08:42:37Z")

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> [@Not\_A\_Tame\_Lion](#):
>
> Was it just me, or did anyone else watching this ep have his head turn into a wolf’s head and start howling and whistling when (Bender)Amy climbed onto the deck of the yacht in her bikini? Anyone? Anyone?

I wanted to, but I couldn’t forget that it was Bender’s mind in her body. Otherwise…I’ve really been noticing Amy in the past few episodes; bra and panties in “That Darn Katz,” ripped cavewoman attire in “A Clockwork Origin.” And Leela was pretty hot in “ACO,” also.

I really liked this one. I thought the animators were pretty inventive with showing Zoidberg’s body while Fry was in it. You often forget Zoidberg is more weird and alien-looking than he seems. And it’s always a treat to see the things they come up with for Bender, as when the Professor (as Nonchalanto) performs the card-shooting trick with Bender’s head. And note the robot on the high wire that the Professor brought down.

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**Author:** ![Gestalt](https://avatars.discourse-cdn.com/v4/letter/g/90ced4/32.png) [@Gestalt](https://boards.straightdope.com/u/Gestalt)\
**Post date:** [August 21, 2010, 1:05pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/28 "2010-08-21T13:05:19Z")

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> [@pepperlandgirl](#):
>
> I loved the episode. My favorite bits were the sight gags–when Farnsworth is in Amy’s body as he walks off all narrow-eyed and hunched over. Or Zoidberg walking sideways in Fry’s body.

I totally agree. _I loved_ this episode, and my favorite parts, like **pepperlandgirl** , involved the characters moving in their new bodies like they did in their old bodies-- like professor-Amy walking hunched over, or washbucket-Amy walking robotically.

I rarely laugh out loud at tv when I’m watching by myself, but I did several times this episode. Like the Scruffy-washbucket romance, or Leela-Hermes sitting at a restaurant eating a “pork sundae.”

Actually, I found Leela-Amy’s/Hermes-Amy’s gorging really funny, for some reason. “Do you think I should eat more butter?”

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**Author:** ![Gestalt](https://avatars.discourse-cdn.com/v4/letter/g/90ced4/32.png) [@Gestalt](https://boards.straightdope.com/u/Gestalt)\
**Post date:** [August 21, 2010, 1:11pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/29 "2010-08-21T13:11:52Z")

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D’oh . . . that should be Amy-Hermes with the pork sundae.

I think this is in my all-time top 5 favorite eps.

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**Author:** ![MacTech](https://avatars.discourse-cdn.com/v4/letter/m/c0e974/32.png) [@MacTech](https://boards.straightdope.com/u/MacTech)\
**Post date:** [August 21, 2010, 1:22pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/30 "2010-08-21T13:22:42Z")

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If Scruffy _DID_ decide to run off with Amy!Bucket, would he be in a \<Dramatic Chord!\> Robosexual relationship?! \</DC\>

a robotic consciousness in a meatbag body, would that entity be considered a human or a robot (iirc, cyborgs aren’t that common in the Futuramaverse, except for when Nixon’s Head had first Bender’s body, and then that gargantuan robotic body…)

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**Author:** ![octarion](https://avatars.discourse-cdn.com/v4/letter/o/e56c9b/32.png) [@octarion](https://boards.straightdope.com/u/octarion)\
**Post date:** [August 21, 2010, 2:40pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/31 "2010-08-21T14:40:35Z")

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#12 proves the theorem is wrong, since using the theorem you cant get the solution (need the #12 solution), and sure, need a pair of persons for each disjoint cycle in the group.

Forgot this link: [The Prisoner of Benda - The Infosphere, the Futurama Wiki](http://theinfosphere.org/The_Prisoner_of_Benda)

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**Author:** ![octarion](https://avatars.discourse-cdn.com/v4/letter/o/e56c9b/32.png) [@octarion](https://boards.straightdope.com/u/octarion)\
**Post date:** [August 21, 2010, 2:46pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/32 "2010-08-21T14:46:40Z")

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Oh, I think the problem is that I don’t know how to read this:

σ = (\<x,1\> \<x,2\> … \<x,i\>) (\<y,i+1\> \<y,i+2\> … \<y,k\>) (\<x,i+1\>) (\<y,1\>)

And should be read like this:

σ = (\<x,i+1\>) (\<y,1\>) (\<x,1\> \<x,2\> … \<x,i\>) (\<y,i+1\> \<y,i+2\> … \<y,k\>)

performing first x and y changes.  
¿Can anyone explain me the notation?

Thanks 🙂

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**Author:** ![Bryan\_Ekers](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bryan_ekers/32/183_2.png) [@Bryan\_Ekers](https://boards.straightdope.com/u/Bryan_Ekers)\
**Post date:** [August 21, 2010, 3:05pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/33 "2010-08-21T15:05:31Z")

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There once was a floating bucket,  
that wanted a janitor to ffff… well, the rest writes itself.

This episode was good, though I liked the time-forward one better.

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**Author:** ![alphaboi867](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/alphaboi867/32/3898_2.png) [@alphaboi867](https://boards.straightdope.com/u/alphaboi867)\
**Post date:** [August 21, 2010, 5:16pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/34 "2010-08-21T17:16:06Z")

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> [@MacTech](#):
>
> If Scruffy _DID_ decide to run off with Amy!Bucket, would he be in a \<Dramatic Chord!\> Robosexual relationship?! \</DC\>
> 
> a robotic consciousness in a meatbag body, would that entity be considered a human or a robot (iirc, cyborgs aren’t that common in the Futuramaverse, except for when Nixon’s Head had first Bender’s body, and then that gargantuan robotic body…)

Eh, who cares now that robosexual marriage has been legalized. 😉

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**Author:** ![JasonBlack](https://avatars.discourse-cdn.com/v4/letter/j/c57346/32.png) [@JasonBlack](https://boards.straightdope.com/u/JasonBlack)\
**Post date:** [August 21, 2010, 5:44pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/35 "2010-08-21T17:44:11Z")

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Due to some serious OCD, I tracked all the body switches, 20 of them. Either I did something wrong, or they did. Spoiler alert:

\*\* Zoidberg and Bubblegum Tate did not switch back!\*\*

Maybe they did that on purpose to see if anyone was paying attention…

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<div class="post-metadata">

**Author:** ![MacTech](https://avatars.discourse-cdn.com/v4/letter/m/c0e974/32.png) [@MacTech](https://boards.straightdope.com/u/MacTech)\
**Post date:** [August 21, 2010, 7:22pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/36 "2010-08-21T19:22:21Z")

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I noticed that one of the Globetrotters (Sweet Clyde? the one without the goatee) did not appear to speak at the end of the ep, I suspected that there is still at least one misplaced mind…

Is it Zoidberg, or Washbucket?

the final switch sequence (bodies);  
Fry\> Ethan Bubblegum Tate  
Zoidberg\> Sweet Clyde  
Sweet Clyde\>Zoidberg  
EBGT\>Fry  
Professor\>EBGT  
Washbucket\>SC  
EBGT\>Leela  
SC\>EmperorBot  
Hermes\>EBGT  
Bender\>SC  
EBGT\>Amy  
SC\>Prof. F  
Washbucket\>EBGT

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<div class="post-metadata">

**Author:** ![Saint\_Cad](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/saint_cad/32/18907_2.png) [@Saint\_Cad](https://boards.straightdope.com/u/Saint_Cad)\
**Post date:** [August 21, 2010, 9:19pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/37 "2010-08-21T21:19:39Z")

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> [@MacTech](#):
>
> I noticed that one of the Globetrotters (Sweet Clyde? the one without the goatee) did not appear to speak at the end of the ep, I suspected that there is still at least one misplaced mind…
> 
> Is it Zoidberg, or Washbucket?

I noticed that the ending was a bit like Checkov’s gun  
Some good parts but mostly ZZZZZZZZZZZZZZZZZZZZ .

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<div class="post-metadata">

**Author:** ![orcenio](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/orcenio/32/1036_2.png) [@orcenio](https://boards.straightdope.com/u/orcenio)\
**Post date:** [August 21, 2010, 9:27pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/38 "2010-08-21T21:27:53Z")

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Everyone’s cool according to my calculations.

The start  
\*\*Amy \*\*is in Hermes  
\*\*Bender \*\*is in Emperor Nikolai  
**Sweet Clyde** is in Sweet Clyde  
**Bubblegum Tate** is in Bubblegum Tate  
\*\*Fry \*\*is in Zoidberg  
\*\*Hermes \*\*is in Leela  
\*\*Leela \*\*is in the Professor  
**Emperor Nikolai** is in Wash Bucket  
**the Professor** is in Bender  
**Wash Bucket** is in Amy  
\*\*Zoidberg \*\*is in Fry

The first two switches  
\*\*Zoidberg \*\*to Sweet Clyde then Zoidberg  
\*\*Fry \*\* to Bubblegum Tate then Fry  
**Sweet Clyde** to Zoidberg then Bubblegum Tate  
**Bubblegum Tate** to Fry then Sweet Clyde

The result  
\*\*Amy \*\*is in Hermes  
\*\*Bender \*\*is in Emperor Nikolai  
**Sweet Clyde** is in Bubblegum Tate  
**Bubblegum Tate** is in Sweet Clyde  
\*\*Hermes \*\*is in Leela  
\*\*Leela \*\*is in the Professor  
**Emperor Nikolai** is in Wash Bucket  
**the Professor** is in Bender  
**Wash Bucket** is in Amy

\*\*Zoidberg \*\*is in Zoidberg  
\*\*Fry \*\*is in Fry

The next two switches  
\*\*Leela \*\*to Sweet Clyde then Leela  
**Emperor Nikolai** to Bubblegum Tate then Emperor Nikolai  
**Sweet Clyde** to Wash Bucket  
**Bubblegum Tate** to the Professor  
**Hermes** to Sweet Clyde  
**Bender** to Bubblegum Tate

The result  
\*\*Amy \*\*is in Hermes  
\*\*Bender \*\*is in Bubblegum Tate  
**Sweet Clyde** is in Wash Bucket  
**Bubblegum Tate** is in the Professor  
\*\*Hermes \*\*is in Sweet Clyde  
**the Professor** is in Bender  
**Wash Bucket** is in Amy

\*\*Zoidberg \*\*is in Zoidberg  
\*\*Fry \*\*is in Fry  
\*\*Leela \*\*is in Leela  
**Emperor Nikolai** is in Emperor Nikolai

The next two switches  
**the Professor** to Bubblegum Tate then the Professor  
**Amy** to Sweet Clyde then Amy  
**Hemes** to Hemes  
**Bender** to Bender  
**Wash Bucket** to Sweet Clyde  
**Bubblegum Tate** to Bubblegum Tate

The result  
**Sweet Clyde** is in Wash Bucket  
**Wash Bucket** is in Sweet Clyde

\*\*Zoidberg \*\*is in Zoidberg  
\*\*Fry \*\*is in Fry  
\*\*Leela \*\*is in Leela  
**Emperor Nikolai** is in Emperor Nikolai  
**the Professor** is in the Professor  
**Amy** is in Amy  
**Hemes** is in Hemes  
**Bender** is in Bender  
**Bubblegum Tate** is in the Professor

The last switch  
**Wash Bucket** to Wash Bucket  
**Sweet Clyde** to Sweet Clyde

The final result  
**Sweet Clyde** is in Sweet Clyde  
**Wash Bucket** is in Wash Bucket  
\*\*Zoidberg \*\*is in Zoidberg  
\*\*Fry \*\*is in Fry  
\*\*Leela \*\*is in Leela  
**Emperor Nikolai** is in Emperor Nikolai  
**the Professor** is in the Professor  
**Amy** is in Amy  
**Hemes** is in Hemes  
**Bender** is in Bender  
**Bubblegum Tate** is in the Professor

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<div class="post-metadata">

**Author:** ![Face\_Intentionally\_Left\_Blank](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/face_intentionally_left_blank/32/288_2.png) [@Face\_Intentionally\_Left\_Blank](https://boards.straightdope.com/u/Face_Intentionally_Left_Blank)\
**Post date:** [August 21, 2010, 11:47pm UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/39 "2010-08-21T23:47:35Z")

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> [@orcenio](#):
>
> Everyone’s cool according to my calculations.

> [@orcenio](#):
>
> The final result  
> **Sweet Clyde** is in Sweet Clyde  
> **Wash Bucket** is in Wash Bucket  
> \*\*Zoidberg \*\*is in Zoidberg  
> \*\*Fry \*\*is in Fry  
> \*\*Leela \*\*is in Leela  
> **Emperor Nikolai** is in Emperor Nikolai  
> **the Professor** is in the Professor  
> **Amy** is in Amy  
> **Hemes** is in Hemes  
> **Bender** is in Bender  
> **Bubblegum Tate** is in the Professor

The last line does not agree with the first line of your post. Did you mean Bubblegum Tate is in Bubblegum Tate?

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<div class="post-metadata">

**Author:** ![orcenio](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/orcenio/32/1036_2.png) [@orcenio](https://boards.straightdope.com/u/orcenio)\
**Post date:** [August 22, 2010, 12:34am UTC](https://boards.straightdope.com/t/futurama-the-prisoner-of-benda/550852/40 "2010-08-22T00:34:01Z")

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> [@Face\_Intentionally\_Left\_Blank](#):
>
> > [@orcenio](#):
> >
> > Everyone’s cool according to my calculations.
> 
> > [@orcenio](#):
> >
> > The final result  
> > **Sweet Clyde** is in Sweet Clyde  
> > **Wash Bucket** is in Wash Bucket  
> > \*\*Zoidberg \*\*is in Zoidberg  
> > \*\*Fry \*\*is in Fry  
> > \*\*Leela \*\*is in Leela  
> > **Emperor Nikolai** is in Emperor Nikolai  
> > **the Professor** is in the Professor  
> > **Amy** is in Amy  
> > **Hemes** is in Hemes  
> > **Bender** is in Bender  
> > **Bubblegum Tate** is in the Professor
> 
> The last line does not agree with the first line of your post. Did you mean Bubblegum Tate is in Bubblegum Tate?

:smack: Yes. Yes I did. I noted that **Bubblegum Tate** switched to Bubblegum Tate; but I forgot to reflect that in the second last result and the final one.

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