A different kind of Limit
2048 is game where the player has to move tiles of numbers in order to create a 2048 tile. The board is a 4x4 square with 16 places.
Supossing that for every move, a number 2 tile is added on the board, find the maximum number a player can create.
Hint: If you don't know the game rules, take a look here: http://en.wikipedia.org/wiki/2048 %28video game%29
The answer is 65536.
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1 solution
The answer is 65536. There are 16 tiles. The game ends when all tiles are full with the greatest possible values. The player will reach a point where all the tiles are full with different numbers in ascending order. So, our answer is the value of the 16th tile which is:
2 1 6 = 6 5 5 3 6