[FEN "8/8/8/8/pp6/kp6/1p6/1K6 w KQkq - 0 1"]
This is a well-known position: both sides are stalemated (if it's their move). It's the lightest position with this property.
Devise the lightest positions where each piece of each side has exactly n moves. (So this would be n=0, you may go up to n=8, which is of course solved by putting only the kings into the free field.)
"Lightest" is defined in the standard way: first piece count, rather pawns than figures, rather black than white.
Experts, please hold you back, it's a very easy puzzle. :-)