1344: "Digits"

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Re: 1344: "Digits"

Postby vviipp » Thu Mar 20, 2014 2:37 am UTC

I've seen people play this during lectures at my school.
Now do one for Mini Metro! Also highly addictive.

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Re: 1344: "Digits"

Postby AtG » Thu Mar 20, 2014 7:05 am UTC

With dogs! (Or just the one dog.)

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Re: 1344: "Digits"

Postby mtavs » Thu Mar 20, 2014 7:44 am UTC

This article and the ensuing comments are excellent. After reading it, the game is a lot easier to beat. It's still no less addicting though.

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Re: 1344: "Digits"

Postby nwm » Thu Mar 20, 2014 9:44 am UTC

mtavs wrote:This article and the ensuing comments are excellent. After reading it, the game is a lot easier to beat. It's still no less addicting though.


Thanks for the link. So there’s an AI here: http://ov3y.github.io/2048-AI/
Some guy then turned the AI against you. Try it! – it’s just too ridiculously hard. :D

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Re: 1344: "Digits"

Postby thevicente » Thu Mar 20, 2014 12:05 pm UTC

karhell wrote:I believe it be related to this : http://gabrielecirulli.github.io/2048/


Oh Thanks, Randall and kathell. I didnt want to produce anything today.

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Re: 1344: "Digits"

Postby karhell » Thu Mar 20, 2014 12:08 pm UTC

thevicente wrote:
karhell wrote:I believe it be related to this : http://gabrielecirulli.github.io/2048/


Oh Thanks, Randall and kathell. I didnt want to produce anything today.

You're welcome ! Join us in not producing anything ^^
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Re: 1344: "Digits"

Postby SadinaSaphrite » Thu Mar 20, 2014 12:11 pm UTC

Randall is a sick bastard for introducing me to this game. It's been hours.
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Re: 1344: "Digits"

Postby Klear » Thu Mar 20, 2014 3:58 pm UTC

Spartopia wrote:After an hour or two of intense 2048 playing I drove on the freeway and felt a bizarre impulse to collide into similar looking cars, presumably to create a 2x better car. Haven't felt vertigo like that since running through the hallways on Doom.


Back when I first played Max Payne, I had a feeling I should dive everywhere. Similarly, after too much time spent with Deus Ex, first impulse after seeing an ATM was to hack it. Oh, and there's purple graffiti along my former route to work. I still tend to think of it as Ballas' territory and repaint it green.

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Re: 1344: "Digits"

Postby Flumble » Thu Mar 20, 2014 4:22 pm UTC

OmniLiquid wrote:
Flumble wrote:Does anyone know the absolute maximum score for the unmodified game?



I don't think the possible maximum would change if the squares were rearranged into a line of 16. Considering that, with some luck, one could get 2 or 4, 8 (assuming a 4 had spawned on the 2nd to last turn), 16, 32, ..., up to 2^17 (131072) all lined up, and then be unable to move. the max score (assuming no 4's spawned except when an 8 was needed in the second spot) would be 1*2^17 + 3*2^16 (the one in the list and the two that merged) + 7*2^15 + ... + (2^16 - 1)*4 - 8 (no points for the two 4's that spawned) = [sum (k from 1 to 16) (2^k-1)*2^(18-k)] -8 = 3,932,156 points. This would require over 130000 merges, however. At 1 merge/sec that would take over 36 hours.

EDIT: realized two 4's would be needed rather than one.

The unmodified game stops when a 2048 tile is created, which I believe is a more complex scenario than filling a line with powers of two. (Also, a problem you may encounter in both is that you get a new tile every time you make a move, so a two may come at an inconvenient time.)

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Re: 1344: "Digits"

Postby Trickster » Thu Mar 20, 2014 4:22 pm UTC

I play Threes! frequently. I mean the original Threes!, not any of the knock-offs.

I just tried 2048 (which is yet another Threes! knock-off) and immediately beat it.

I'm extremely disappointed that Randall would choose a knock-off of an excellent (and very hard game) to highlight with a strip. There are so many crappy Threes! knock-offs now it's hard to find the original one deserving of the credit. 2048 is unbelievably easy if you've played Threes! much at all.

Try Threes! (by Asher Vollmer) if you haven't already. In addition to being an amazing and original game, it's adorable. I play it on my Android tablet.

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Re: 1344: "Digits"

Postby Jackpot777 » Thu Mar 20, 2014 5:19 pm UTC

brenok wrote:
Jackpot777 wrote:
Flumble wrote:Hold on, exactly how does 8224 relate to 2048? :? 8192, 8204, 0248 etcetera I can understand.


The middle numbers are the same number. Squash those bad boys together and make 844. Now the 4s are squishable to make an 8. The two 8s are now next to each other, making a 16.

Nice!

I think he wasn't aware that 2048 is the name of a game...


...but this is XKCD. How did he not google?

Image

I don't understand how he didn't google...

I guess he's one of the lucky 10,000!
Last edited by Jackpot777 on Thu Mar 20, 2014 5:37 pm UTC, edited 1 time in total.

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Re: 1344: "Digits"

Postby Jackpot777 » Thu Mar 20, 2014 5:22 pm UTC

Trickster wrote:I play Threes! frequently. I mean the original Threes!, not any of the knock-offs.

I just tried 2048 (which is yet another Threes! knock-off) and immediately beat it.

I'm extremely disappointed that Randall would choose a knock-off of an excellent (and very hard game) to highlight with a strip. There are so many crappy Threes! knock-offs now it's hard to find the original one deserving of the credit. 2048 is unbelievably easy if you've played Threes! much at all.

Try Threes! (by Asher Vollmer) if you haven't already. In addition to being an amazing and original game, it's adorable. I play it on my Android tablet.


Doge2048 is the future. Such square. Much sparkle.

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Re: 1344: "Digits"

Postby PsiSquared » Thu Mar 20, 2014 5:34 pm UTC

Trickster wrote:I'm extremely disappointed that Randall would choose a knock-off of an excellent (and very hard game) to highlight with a strip.


What can you do? We math geeks can't resist a game which is based solely on powers of two.

As for "Threes" being a better game - I think that's a matter of personal taste. It is a bit like claiming that chess is better then checkers. Chess is the deeper game, but that doesn't necessarily make it "better".

And even though 2048 is a shameless ripoff of Threes, the feel of the game is completely different from the player's point of view.

Try Threes! (by Asher Vollmer) if you haven't already.


I tried it for the first time just now, thanks to your post. And I like it. I'll probably be playing both games in the future on regular basis.

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Re: 1344: "Digits"

Postby Flumble » Thu Mar 20, 2014 6:01 pm UTC

Jackpot777 wrote:words

As you can read in the 5th reply I knew of the game, but neither did I know its name nor did I recognise 2048 as a game title (as it could just as well be just a number, even if you see the italics).

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Re: 1344: "Digits"

Postby pitareio » Thu Mar 20, 2014 9:46 pm UTC

Okay, I finally reached 2048.

I can now resume eating and sleeping.

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Re: 1344: "Digits"

Postby Cloudy_the_Conqueror » Thu Mar 20, 2014 11:52 pm UTC

A few days ago, my friends on the school I attend begin playing 2048. I tried it on my phone, and spent hours of it. I only managed to reach the 512 tile. I decided it was a bad idea to play this game and I stopped playing.

And then I saw this...

Thank you, Randall. Well played.

Also, I reached the 1024 tile yesterday.

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Re: 1344: "Digits"

Postby Jackpot777 » Fri Mar 21, 2014 2:02 am UTC

Flumble wrote:
Jackpot777 wrote:words

As you can read in the 5th reply I knew of the game, but neither did I know its name nor did I recognise 2048 as a game title (as it could just as well be just a number, even if you see the italics).


I never learned to read. Did learn how to build suspense in two steps. First you have to build up to the payoff.

(Dictated but not read.)

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Re: 1344: "Digits"

Postby Eternal Density » Fri Mar 21, 2014 2:36 am UTC

Klear wrote:Played it once and did not get hooked up. I'll call that a win.

I'm with you :D

ETA oh no I just found http://doge2048.com/ but I managed to close it after one try too.
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Re: 1344: "Digits"

Postby OmniLiquid » Fri Mar 21, 2014 5:27 am UTC

Flumble wrote:
OmniLiquid wrote:
Flumble wrote:Does anyone know the absolute maximum score for the unmodified game?



I don't think the possible maximum would change if the squares were rearranged into a line of 16. Considering that, with some luck, one could get 2 or 4, 8 (assuming a 4 had spawned on the 2nd to last turn), 16, 32, ..., up to 2^17 (131072) all lined up, and then be unable to move. the max score (assuming no 4's spawned except when an 8 was needed in the second spot) would be 1*2^17 + 3*2^16 (the one in the list and the two that merged) + 7*2^15 + ... + (2^16 - 1)*4 - 8 (no points for the two 4's that spawned) = [sum (k from 1 to 16) (2^k-1)*2^(18-k)] -8 = 3,932,156 points. This would require over 130000 merges, however. At 1 merge/sec that would take over 36 hours.

EDIT: realized two 4's would be needed rather than one.

The unmodified game stops when a 2048 tile is created, which I believe is a more complex scenario than filling a line with powers of two. (Also, a problem you may encounter in both is that you get a new tile every time you make a move, so a two may come at an inconvenient time.)


Ah, I had thought I'd seen mention of an unlimited version and was going by that. That takes more thought and is a more interesting problem. As for the other problem, that's what I was referring to as a little luck. So long as the new tile appears to the left of an empty space or a 2, you could get the stated configuration by always hitting right. In a limitless 4 x 4 game, equivalent luck could occur, so I didn't worry about it much (max possible =/= likely).

Edit: Just noticed it gives the option to continue after winning. So my previous answer should in fact be true (though useless, no one is near that lucky outside tas or rewriting the code, or that patient).
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Re: 1344: "Digits"

Postby Plutarch » Fri Mar 21, 2014 1:43 pm UTC

karhell wrote:I believe it be related to this : http://gabrielecirulli.github.io/2048/


Well, it didn't take long to become obsessed with that. :(

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Re: 1344: "Digits"

Postby Flumble » Fri Mar 21, 2014 4:23 pm UTC

Jackpot777 wrote:I never learned to read.

Uh-huh, I figured as much, so I tried to remind to that not reading has made you miss out on information. And since information is valuable, you missed out on something valuable. Now keep that in mind every time you don't want to read something.

OmniLiquid wrote:So long as the new tile appears to the left of an empty space or a 2, you could get the stated configuration by always hitting right. In a limitless 4 x 4 game, equivalent luck could occur, so I didn't worry about it much (max possible =/= likely).

I'm still somewhat skeptic about the 4x4 situation, as you have to move in three(?) directions.

OmniLiquid wrote:Edit: Just noticed it gives the option to continue after winning. So my previous answer should in fact be true (though useless, no one is near that lucky outside tas or rewriting the code, or that patient).

Ok, let me rephrase the question to include only winning moves, excluding scores after reaching 2048 (and scores before reaching 2048 because those are obviously not maximal). :P

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Re: 1344: "Digits"

Postby Klear » Fri Mar 21, 2014 5:07 pm UTC

Flumble wrote:Ok, let me rephrase the question to include only winning moves (...)


Not to play.

Edit: The doge version finally got me. Such play! Still haven't hooked up though =/ I'm beginning to think playing simple web games are not the way to go.

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Re: 1344: "Digits"

Postby pitareio » Fri Mar 21, 2014 7:01 pm UTC

When you're done with 2048, you can try 9007199254740992

It's clearly not feasible by a human, but I wonder how long a supercomputer would take to solve this one.

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Re: 1344: "Digits"

Postby OmniLiquid » Sat Mar 22, 2014 12:09 pm UTC

Unfortunately, I think this problem is out of my reach. I had assumed that with incredible luck the tiles could spawn in such a way that the path

1 2 3 4
8 7 6 5
9 10 11 12
16 15 14 13

could be filled with any size full chain of decreasing powers of 2. Now I am unsure if that is true. If it is, then the following board is possible (assuming i didn't muck something up. the steps taken to get there are way too long for explaining in detail now.)

2 2 2 2
1024 1024 1024 1024
4 512 512 8
8 4 _ 4

(with the bottom right 4 just spawned)

pressing right gives

_ _ 4 4
_ _ 2048 2048
_ 4 1024 8
_ _ 8 8

for a winning game with slightly over 50000 points (I didn't keep track of how many times it was necessary for a 4 to spawn, so don't have the exact value. Also, my calculation on the unlimited game is off by 52 points as it is necessary to have 15 4 tiles spawn rather than 2). I would be surprised if better wasn't possible, though.
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Re: 1344: "Digits"

Postby hujackus » Sun Mar 23, 2014 10:11 pm UTC

Has anyone here beat my score of 27308?
I played doge2048 for about 6 hours on Friday and found a pretty good strategy that can win a game 1 out of 4 times in 30 minutes.

I'll tell the first part of the strategy. Maybe more if anyone asks.
Spoiler:
Never push up.


Edit: Current high score is now 47660. I was a little disappointed to find out that if you merge two 2048s you get a 1024.
This would imply that you could increase your score indefinitely.

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Re: 1344: "Digits"

Postby floreal » Tue Mar 25, 2014 1:54 pm UTC

pitareio wrote:When you're done with 2048, you can try 9007199254740992

It's clearly not feasible by a human, but I wonder how long a supercomputer would take to solve this one.


I was procrastinating for a few hours and got this far until I decided I needed to reevaluate how to spend my time.

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Re: 1344: "Digits"

Postby Wnderer » Tue Mar 25, 2014 5:33 pm UTC

hujackus wrote:Has anyone here beat my score of 27308?
I played doge2048 for about 6 hours on Friday and found a pretty good strategy that can win a game 1 out of 4 times in 30 minutes.

I'll tell the first part of the strategy. Maybe more if anyone asks.
Spoiler:
Never push up.


Edit: Current high score is now 47660. I was a little disappointed to find out that if you merge two 2048s you get a 1024.
This would imply that you could increase your score indefinitely.


Spoiler:
I always push up but avoid pushing down. Same difference. I try to create a gradient of high to low values from top to bottom. I think one thing that affects the efficiency is I usually end up with the highest value in one of the center top spots and symmetrical values to either side. It would be better if I could get the gradient of values summing into a corner.

I can imagine a version of this game where the 2048 tile disappears and the game sort of becomes like Tetris. Instead of complete row, you create complete tiles.

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Re: 1344: "Digits"

Postby BlitzGirl » Tue Mar 25, 2014 8:32 pm UTC

Wnderer wrote:I can imagine a version of this game where the 2048 tile disappears and the game sort of becomes like Tetris.

Why not start with Tetris?
http://prat0318.github.io/2048-tetris/
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Re: 1344: "Digits"

Postby hujackus » Tue Mar 25, 2014 9:15 pm UTC

floreal wrote:
pitareio wrote:When you're done with 2048, you can try 9007199254740992

It's clearly not feasible by a human, but I wonder how long a supercomputer would take to solve this one.


I was procrastinating for a few hours and got this far until I decided I needed to reevaluate how to spend my time.


I had to quit at my first 131072 block with around 2 million points. Only 68 billion hours to go.

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Re: 1344: "Digits"

Postby Flumble » Tue Mar 25, 2014 11:49 pm UTC

floreal wrote:
pitareio wrote:When you're done with 2048, you can try 9007199254740992

It's clearly not feasible by a human, but I wonder how long a supercomputer would take to solve this one.


I was procrastinating for a few hours and got this far until I decided I needed to reevaluate how to spend my time.

My hands are tired.
So very tired.

shot_1188.png

(it got a bit messy after I wanted the 2^17 tile so badly)

I expected the moron-AI to lose with a 32768 tile, but I underestimated it. Does anyone have an expectation formula for the 2^n game?

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Re: 1344: "Digits"

Postby rick.s » Thu Mar 27, 2014 4:19 am UTC

Yea, I beat the silly game. Now for the 65536. When I saw the never go in one direction hint it occurred to me the best way to beat it.

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Re: 1344: "Digits"

Postby hujackus » Fri Mar 28, 2014 10:28 pm UTC

hujackus wrote:Has anyone here beat my score of 27308?

Edit: Current high score is now 47660. I was a little disappointed to find out that if you merge two 2048s you get a 1024.
This would imply that you could increase your score indefinitely.

[/quote]

Well my curiosity got the better of me and I looked at the source code. When I merged the two 2048's it did produce a 4096 block, however doge2048 renders all blocks >2048 as 1024 blocks. I can imagine this being very confusing.

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Re: 1344: "Digits"

Postby kurukkan » Mon Mar 31, 2014 7:04 pm UTC

Flumble wrote:
floreal wrote:
pitareio wrote:When you be done wid 2048, you kyan try 9007199254740992

it clearly no feasible by a hu-mon, but I wonder how long a supercomputer would tek to solve dis one.


I was procrastinating for a few hours an' got dis far till I decided I needed to reevaluate how to spend me time.

me hands be tired.
So very tired.

shot_1188.png

(it got a bit messy after I wanted de 2^17 tile so badly)

I expected de moron-AI to lose wid a 32768 tile, but I underestimated it. Does anyone have an expectation formula for de 2^n game?


I got to a 16384 tile within a few minutes of frenzied button-mashing in three directions, so the larger grid seems to make things easier.

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Re: 1344: "Digits"

Postby EvanED » Thu Apr 03, 2014 3:14 am UTC

Took long enough to here here. Autohotkey was starting to get tired:

2pow20.png

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Postby Plutarch » Tue Apr 08, 2014 10:03 am UTC

Aha! A mere 20 days after discovering this 2048 game through xkcd, I have finally completed it. The 2048 tile is mine. That was time well spent. :D

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Re: 1344: "Digits"

Postby mathmannix » Mon Apr 14, 2014 9:10 pm UTC

A mere 25 days of knowing about this game, and 4096 achieved!
Spoiler:
It was the same color as a 64.
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Re: 1344: "Digits"

Postby Wnderer » Thu Apr 17, 2014 12:23 am UTC

mathmannix wrote:A mere 25 days of knowing about this game, and 4096 achieved!
Spoiler:
It was the same color as a 64.

Spoiler:
No it's not. 64 is red and 4096 is black.
4096end.png


And you can see how I lost. I got blocked and had to shift down and the 2 got stuck over my 4096 and I never recovered.

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Re: 1344: "Digits"

Postby mathmannix » Thu Apr 17, 2014 2:21 pm UTC

Screenshot_2014-04-13-07-34-26.png


This from my phone.

(OK, the 64 and 4096 do appear to be slightly different in shade. But for those of us who only know seven) colors or so, they're both red!)
Last edited by mathmannix on Thu Apr 17, 2014 2:23 pm UTC, edited 1 time in total.
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Re: 1344: "Digits"

Postby speising » Thu Apr 17, 2014 2:23 pm UTC

mathmannix wrote:
Screenshot_2014-04-13-07-34-26.png


This from my phone.

(OK, the 64 and 4096 do appear to be slightly different in shade.)


but this is not the canonical implementation.

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Re: 1344: "Digits"

Postby mathmannix » Thu Apr 17, 2014 2:26 pm UTC

What? You mean I've been playing the wrong one??? But it was the number one downloaded one shown on Google Apps, by a factor of four or so...

(It actually was the second one I tried, but the first one didn't autosave when you quit, or remember high scores, which gives this one the advantage.)
I hear velociraptor tastes like chicken.


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