A teacher on a foreign planet wants to make a classroom calendar out of cubic blocks. She wants to individually count each day by drawing a number on the faces of a block. There are 209 days in this planet's year, and she can draw any number (0-9) on each face.
19 would be:
--- --- | 1 | | 9 | --- ---
With a face on one block being 1, and the other block's face being 9.
201, would be:
--- --- --- | 2 | | 0 | | 1 | --- --- ---
A face on one block would be 2, a second block's face being 0, and a third block with a face of 1.
What is the fewest amount of blocks she can use to count the days of the year (0-209), and what numbers are on each block?
All cubes must be used.