How do I move game progress (tiny death star) from one device to another ?

[gameson]

Tiny Death Star does not support cloud and when I use file explorer, I can not find their directory (I think it's probably hidden in protected folder that is only accessible with rooted device).

I do not want to root.

So I want to move my game progress from my Tab 2 to Nexus 7.

Anyone has any idea on how to do it without rooting?

Thanks.