they are trying to figure out how to split the coins. However all of the pirates are different rank in that Pirate A is great than Pirate B and so on, such that Pirate E is the lowest rank. they have decided that let the most senior pirate decide how to split the coins, then all the pirates will take a vote. if at least half the pirates agree with the decision then that is how they split, if more than half disagrees, the most senior pirate is thrown overboard and the next senior pirate decides how to split the gold. assuming all of the pirates wants to maximize the gold they get without being thrown overboard, how would the gold be split and why?