Who needs the complexity of 9 numbers? Fill in each cell with a number from 1 to 6 so that no number appears more than once in any of the rows, columns, and 2x2 boxes.
Puzzle 3 in the "too hard to be published" series.
This one is small enough to be quite tractable to trial-and-error... but if you can find a logical path to the solution, consider yourself good.