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This is a classic logic problem. Briefly, the setup runs like this:
A band of cutthroats have skedaddled with some loot. Now comes the time to divide the take. The captain proposes a split of the treasure and the assembled pirates vote on it. If a majority of them approve of the split (or the vote is tied) the lucre is so divided. If a majority disapprove they make the captain walk the plank. Then the next highest ranked pirate takes over as captain and proposes his own split of the booty. How do they divide up the spoil?