Two blue armies are each poised on opposite hills preparing to attack a single red army in the valley. the red army can defeat either of the blue armies separately but will fail to defeat both blue armies if they attack simultaneously. the blue armies communicate via an unreliable communications system (a foot soldier). the commander with one of the blue armies would like to attack at noon. his problem is this: if he sends a message to the other blue army, ordering the attack, he cannot be sure it will get through. he could ask for acknowledgement, but that might not get through. is there a protocol that the two blue armies can use to avoid defeat?