2048 players should know...

Algebra Level 3

2048 is a game. The game is played on a 4 x 4 board. If two tiles of the same number collide while moving, they will merge into a tile with the total value of the two tiles that collided. The legal moves are up, right, down, and left. When a move is executed, all tiles will move that way. Every turn, a new tile will randomly appear in an empty spot on the board with a value of either 2 or 4. The game stops at 2048, but you can continue to go further. However, of course there is a stop. What is the highest number that this game can reach?

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