# araver

Members

1620

## Community Reputation

3

• Rank
Senior Member

• Gender Male

## araver's Activity

1. araver added a topic in New Logic/Math Puzzles

Cylinders
Long time no see. I have a puzzle that's eating me for more than a week and I think you'll like working on it Credits in "spoilers".

Assume you have a cylinder around which you've wrapped a rectangular grid of cells (R rows x C columns). Each cell contains an integer greater or equal to 1. Each integer is equal to the number of neighboring cells (neighbor = sharing an edge, not just a corner) having the same integer. E.g. a cell containing 1 can have exactly one neighbor cell with 1 inside, the other neighbors can have any other different integers.

Two decorations are the same if by rotating (around the cylinder's axis of symmetry) one of the cylinders (whole rectangular grid rotation - rotating rows/columns separately is not possible) and putting them side to side you can view them as identical from any viewpoint. Also, the top and bottom of the cylinder are considered as being different so if the rectangular grid is not symmetrical around the cylinder's half-full/half-empty axis, a cylinder decoration identical to the original turned up-side down would count as not the same as the original.

How many unique decorations can you make with such a RxC cylinder?
1. For R,C <=6.
2. A closed-form expression or algorithm for any R,C.

Note: I am stuck at 2. I have an algorithm, but I'm rather more interested if there is a closed-form expression i.e. using basic arithmetic operations (addition, subtraction, multiplication, and division), exponentiation to a real exponent, logarithms, and trigonometric functions.

• 910 views
2. araver added a post in a topic Justice League UNLEASHED 2

@Y-San - thank you again for a memorable game & marvelous story. If I may nitpick, I'd like to choose one where I'm not dying the next time , but thanks for making my deaths feel heroic

@Nana - congrats, well deserved one. I wish I had blocked & challenged you though instead of plasmid.

@Plas, Barc & Kika - Na na nah

@My fellow goodies - tough luck, but thanks for fighting till the end. Thank you dee for trusting me, I wish I had signaled better after I blocked you, but I was a coward and thought I'd get RID/manipulated if I try to make it obvious.

I guess we all need to be way more optimistic the next time
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3. araver added a post in a topic “THE ROBOTS ENIGMA”

There is (actually) no misunderstanding.
You actually did not take into consideration questions regarding future potential questions. And therefore are unable to imagine this kind of questions as valid. They actually use up only 1 question at a time to a single person so they are valid under what you have written as the OP.

However, if you wish to impose a restriction on the syntax or the semantics of the questions, please make it a part of the OP.
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4. araver added a post in a topic Justice League UNLEASHED 2

Oh well, c'est la vie
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5. araver added a post in a topic Justice League UNLEASHED 2

@Kika - what intel? Making it vague helps no one. Let me know what I need to answer/clarify - we're not on the same timezone so please don't just leave your vote hanging on me till the end of day.
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6. araver added a post in a topic Justice League UNLEASHED 2

@plas - I don't understand what you want from me. I'm putting pressure because I acted on you last night. Coincidentally stuff did not happen. All you had to do was say "I got blocked but [insert meaningful insights here]. Instead you went for the looong way around to say I'm mistaken/redirected or a baddie. You're digging your own grave.

The 3 nights before: n1 blocked OT she admitted, n2 blocked twoaday, did not work as I was blocked/notified, n3 blocked dee, she admitted.

I blocked you N4 b/c of your wifom comment. Now either give a reasonable explanation or make a hard claim that someone can easily refute.
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7. araver added a post in a topic Justice League UNLEASHED 2

I acted on plasmid last night. I need help in pressuring.
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8. araver added a post in a topic Justice League UNLEASHED 2

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9. araver added a post in a topic Justice League UNLEASHED 2

@plas - I see you. I mean I raise your bluff with 2 cents: If Nana is Amazo, there is a block who will go after her for the kill. If she's a goodie, again, same-combo. Turbo mode only works once. You're wifom-ing the wrong guys.

@Dee - I see what you mean: Super villains are hard to get and obviously (still) here. 3 out of 9 people alive are super-villains. 4 out of 9 are not goodies.
Things are not getting better. But Barc is right, a character that grows in time is a more immediate danger. And I'll add that villains are more than well equipped for the job.

@Barc - 3 goodies down going into N4 after 3x2=6 phases is not the worst start. We could have had that going into D2, without knowing the identity of two dead.
I'd rather baddies and indy figure out they need to go after each other, instead of having to post this obvious reasoning in the thread.
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10. araver added a post in a topic Justice League UNLEASHED 2

Dr. Fate: Y-San

1) Phil1882 - kikacat
2) Nana77 - voting for Kikacat
3) bonanova - voting for Two-a-day
4) tolecnal - DEAD Martian Manhunter lynched
5) flamebirde - DEAD Hawkgirl killed by Supervillains
6) onetruth - voting for dee
7) dee_tot - voting for Kikacat
8) plasmid - voting for dee
10) Kikacat123 - voting for Phil
11) Araver - voting for Two-a-day
12) Barca - voting for Nana

@Kika - that's a matter of perspective, haven't seen all the movies featuring the characters in this game. Shrug. Good enough for now I guess. Will move my vote.

@plas - I repeat my list of choices for the day - 2/day, plas, Nana. With my luck I'm picking Grundy out of all 3.

@Dee - you got blocked :hmm: OK, willing to let that go for the moment.

@OT - wasn't me.
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11. araver added a post in a topic “THE ROBOTS ENIGMA”

12. araver added a post in a topic “THE ROBOTS ENIGMA”

13. araver added a post in a topic Justice League UNLEASHED 2

Please add my vote on Kika for the moment. I don't see a definite claim or backing between Kika's and OT's posts.

@Nana - that wasn't me. Re: bait, not sure we mean the same thing:
- If you were Grundy, I wouldn't retarget myself so I wasn't trying to re-bait you in this case.
- If you were Amazo, I wouldn't have asked for a save for you, but would have been happy if you activated ODTG turbo mode in self defence.
Not going to vote for you today b/c if you're Amazo in turbo, it would be pointless. But you're in no way clearer after N3 than you were after N1 in my books.

I'd like to lynch Two-a-day, plas, Nana in this order. Just to see what they flip and who bandwagons them. Shrug. I am but one.
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14. araver added a post in a topic “THE ROBOTS ENIGMA”

15. araver added a post in a topic “THE ROBOTS ENIGMA”

Clarification needed:
1. Does Random always answer yes/no? Expecting a NO since he may as well not know the answer to some questions, but I might get a white light asking this question of you
2. Also, all robots know each other's type? Expecting a definite YES.
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