[avalaunch]

I won 4 times in a row using a variant of that strategy where I lined up biggest to smallest numbers in a snake like pattern across the bottom of the grid. I only used up if my largest number got moved from the corner and I only used left if my bottom row was completely filled or my choices were narrowed to up or left.

EDIT: 5 times in a row now. I think I'm addicted.

EDIT: lost on my attempt for 6 in a row. I had to press up right after the 1024 appeared and was scrambling the rest of the game. I managed to get the 512 and 2 256s to appear as well but couldn't get them together.

[sixothree]

The problem with pressing up (in your case) is that some random 2 is likely to get stuck in the position you needed.