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Based on this video, we know that it's actually possible to attain the 2048 tile. (Noting that 2048=211). If this game continues on forever, what tile of the highest power of 2 can we obtain? Can you generalize it for any M×M size box? Is this an NP-hard problem?
Without the sliding part, it's trivial that the largest power of 2 possible is 2M2 as long as the only tiles appearing are 2's. I haven't really figured out the distribution, but the tile 4 appears sometimes, so the largest power of 2 possible is 2M2−1⋅k where k is the largest possible tile that appears (must be power of 2 still).
But of course the sliding part complicates matters.
Find the minimum of the sum of this table in this game or just find the min. number of turns because turns = 2*sum. (not the score, but the sum.)
When I try pressing randomly for fun, pressing left-right or up-down, it's still not game over yet. Find the number in the form of 2^n such that if it appears, we have a chance of game over. I got game over at number 16. XD
Awesome game! Props to you for finding it! I also can't believe how people are so good at it. My high scores only about 3100, but some people got 5000 on their first try. I'll probably be playing it all of tonight
Side note: For those asking how to screenshot (for windows)
(a) Use the PrtSc button beside F12 key or
(b) Windows should have itself a program "Snipping Tool", search it in you startbar menu.
Save the picture in a place you will remember.
Then for me I go to TinyPic, upload it (no signup required), you should be linked to a page with 4 rows, copy (Ctrl+C) the bottom one where it says "Direct Link for Layouts". To include your image in a comment/post in Brilliant, do this:
*)
for example

and you are done. Note that this format is equivalent to including links to other websites, but with a '!' at the front.
From what I have found, there should only be 1 of an tile at any time (since if there are 2, you should try to combine them). However, this rule is only practical to apply to numbers greater than or equal to 16, since otherwise it would be to many numbers to move at a time.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
Wow. Naturally. :D
Wow, great job!
Math Question
Based on this video, we know that it's actually possible to attain the 2048 tile. (Noting that 2048=211). If this game continues on forever, what tile of the highest power of 2 can we obtain? Can you generalize it for any M×M size box? Is this an NP-hard problem?Without the sliding part, it's trivial that the largest power of 2 possible is 2M2 as long as the only tiles appearing are 2's. I haven't really figured out the distribution, but the tile 4 appears sometimes, so the largest power of 2 possible is 2M2−1⋅k where k is the largest possible tile that appears (must be power of 2 still).
But of course the sliding part complicates matters.
OTHER VARIANTS HERE
CABOODLE
2048 Directory
Random
Flappy bird!
Logarithmic Flappy bird!
Tetris
16384 Hex
Physics Version
Masochism Edition!
I think the '4' variant is too hard....
I got 11000+
This is a brilliant game.
Trying to get the 2048 tile......................
http://stackoverflow.com/questions/22342854/what-is-the-optimal-algorithm-for-the-game-2048
5704
Just Missed!!!!!!!
Yes, this is a very fun game.
My first shot!
This game is really fun!
How I try for fun:
Find the minimum of the sum of this table in this game or just find the min. number of turns because turns = 2*sum. (not the score, but the sum.)
When I try pressing randomly for fun, pressing left-right or up-down, it's still not game over yet. Find the number in the form of 2^n such that if it appears, we have a chance of game over. I got game over at number 16. XD
PS: I also got 512 appearing as the high score.
Score = 6296 I dunno how to post screenshot...help plz!
Awesome game! Props to you for finding it! I also can't believe how people are so good at it. My high scores only about 3100, but some people got 5000 on their first try. I'll probably be playing it all of tonight
14,484. dont know how to post a screenshot
awesome!! this game is super fun! :D :D
This is very very very fun! (and addictive too)
Side note: For those asking how to screenshot (for windows)
(a) Use the PrtSc button beside F12 key or
(b) Windows should have itself a program "Snipping Tool", search it in you startbar menu.
Save the picture in a place you will remember.
Then for me I go to TinyPic, upload it (no signup required), you should be linked to a page with 4 rows, copy (Ctrl+C) the bottom one where it says "Direct Link for Layouts". To include your image in a comment/post in Brilliant, do this:
*)
for example

and you are done. Note that this format is equivalent to including links to other websites, but with a '!' at the front.
thanks a lot!
6884
Better... good idea...
This is a very interesting game.....
7420
From what I have found, there should only be 1 of an tile at any time (since if there are 2, you should try to combine them). However, this rule is only practical to apply to numbers greater than or equal to 16, since otherwise it would be to many numbers to move at a time.
This game is addicting :)
I am loving this...got till 6704 finally!!!
in this game beating someone's high score is not tough, tough is to win the game. Try to win it, rather than trying to beat high scores
Now you can play it on your android!
This one works too
OR THIS ONE
My high score: 23624
http://i62.tinypic.com/22hzdz.jpg
I am trying to get 4096
Bit late to the party but: https://imgur.com/oAyD0sH
Darn.
Darn.
6416 on first attempt!!!
YAY My highscore is 27340 Just I have no idea how to post the pic.
I got the 4096 tile in the android app. My high score is 48400!
Very Happy..Finally got till 10308 after playing more than hundred times!!! :D
Got till 14528
I won and got 20364
This is basically a rage game for me.
Enjoyed this game.
WATCH IT IN ANY CASE!
http://i60.tinypic.com/n5rlll.jpg
Natural Talent!
I got higher than you!
https://i.imgur.com/lKEbUs7.png
Beat me now - http://i60.tinypic.com/359gt5h.jpg
Why voted down? Accept the hacking talent!