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## Usenet Newsgroups : rec.puzzles Hall of Fame

The rec.puzzles Hall of Fame is a compilation of over 500 of the most popular puzzles that have been posted and discussed in the rec.puzzles newsgroup. In most cases a detailed solution has been provided.

Many of these puzzles also appear in Braingle's own collection.

 rec.puzzles Newsgroup FAQ Hall of Fame alt.brain.teasers Newsgroup FAQ
Categories : decision : five.pirates.s

```Proceed by induction on the number of pirates, starting with two.

2. The most senior will propose that he keep all the loot and since he
will vote for his own proposal, the least senior pirate will get nothing.

3. If there are three pirates left, the most senior will need one vote.
The least senior will vote for anything more than nothing, so the most
senior will win by offering the least senior one gold coin.  The second
least senior will get nothing.

4. If there are four pirates, the most senior needs one vote, and he can
get it by offering the second least senior one coin.  The least senior
and third least senior get nothing.

5. If there are five pirates, the most senior needs two votes.  He can
get them from the least senior and third least senior by offering them
one coin each, keeping 98 coins for himself.

This pattern continues.

```

Solution

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