logic involved

You need some simple way to wake up another computer? And you have Python at your disposal?
Great! All you need is this tiny script:

#!/usr/bin/env python
import socket
s=socket.socket(socket.AF_INET, socket.SOCK_DGRAM)
s.sendto('\xff'*6+'\xaa\xbb\xcc\xdd\xee\xff'*16, ('172.31.3.33', 80))
print "sent wake up call to server..."

Substitute the aa, bb, … , ff with the MAC adress of your target, and use the correct IP adress.
That’s all