Find nine single digit numbers (other than 1, 2, 3, ..., and 9) with a sum of 45 and a product of 9! (362,880).

For instance, 2, 2, 3, 4, 5, 6, 7, 8, 8 add up to 45, but their product is 645,120.

Try finding the answer without the use of a program.

1, 2, 4, 4, 4, 5, 7, 9, 9

9+9+7+5+4+4+4+2+1   =   45

9*9*7*5*4*4*4*2*1   =   362 880

May be others, this was the first I got while playing around with a Calc heh.