2048 D Evolution

Ever played 2048 before ? will break it down for you any way :
In this game, the player must combine tiles containing the same numbers until they reach the number 2048. The tiles can contain only integer values starting from 2, and that are a power of two, like 2, 4, 8, 16, 32, and so on.
Ideally, the player should reach the 2048 tile within the smallest number of steps. The board has dimensions of 4 x 4 tiles, so that it can fit up to 16 tiles. If the board is full, and there is no possible move to make like merging tiles together - the game is over.
But in our version, instead of numbers we've chosen to use a character's forms evolution pictures which you all know about , so now the numbers appear this way instead :
Kid = 2
Teen ( E. B. ) = 4
Teen ( E. L. ) = 8
2nd G. = 16
3rd G. = 32
Armament H. = 64
4th G. ( B. M. ) = 128
4th G. ( T. M. ) = 256
4th G. ( S. M. ) = 512
C. Coating = 1024
5th G. = 2048