relay decoder

Hi,this is my schematic for swiching on and off
three relays with two bit digital input.

Does it work? Do you have a truth table?

I made it, i tryed it out and it works but I am not
sure about the resistor values.

Relays are numbered from left to right.
Imputs are numbered from up to down.

imput1 imput2 relay1 relay2 relay3
0 0 off off off
0 1 0ff on off
1 0 off off on
1 1 on off off

You can do this much easier by doing the "logic" using only two relays: