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Return to Treasure Island (Posted on 2012-04-05) Difficulty: 3 of 5

'Arr, ' said Long John Silver, 'Arr, arr,' by way of clearing his throat, before addressing his 9 remaining companions.

'We've sailed the seas for 7 long years, and plundered a pirate hoard, and the time has come to divvy the loot at last. It goes without saying that each of you lubbers wants all the treasure he can lay his hands on.'

'Now, as ye know, the Rules of the Sea require that the Captain shall propose a division, and all then vote, democratical-like; if the proposal be passed, then all take accordingly. If the lots cast be tied, the Captain votes again, to break the tie. But if the division be rejected, the Captain forfeits his share, and the right to propose passes to the next in rank, and so on until a division be agreed at last.'

Now gather round me hearties, and listen to me proposal, according to rank:

Long John Silver, Cook and Captain: 75 shares
Abe the Master: 1 share.
Ben the Mate: 1 share
Caleb the Gunner: 1 share
Dave the Able: 1 share
Eben the Bosun: 1 share
Fergus the Feeble: 2 shares
Gabe the Gimpy: 4 shares
Ham the Hopeless: 6 shares
Jesse the Cabinperson: 8 shares

'I'm sure you'll agree, lads, I've done you all proud.'

Of course, it's endlessly debatable whether Long John's proposal is fair; but should his proposal be carried, or not?

No Solution Yet Submitted by broll    
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re: observation as to the puzzle's wording | Comment 9 of 14 |
(In reply to observation as to the puzzle's wording by Dej Mar)

Dej, thanks for your input!

(1), (2), (3), see the words 'and so on'; the same rules apply to each proposer and to each proposal (obviously, I would have thought).

(3) A tie-break is only needed if the votes cast are tied. This can only happen with an even numbers of voters, and always happens if there are (a) an even number of voters; and (b) the votes are tied.

(4) see the words: 'according to rank'; the list is the ranking, as the puzzle expressly states.

(5) 'Forfeits his share'; noted. He also loses his right to vote, in case that was not already clear. At all events he is eliminated, no doubt with extreme prejudice, from all further involvement in the process.

(6) Captain/proposer. The two are effectively interchangeable: on the one hand, all the Captain does in the puzzle (apart from cough) is make the initial proposal; on the other, if the solver wants to notionally promote each 'proposer' in turn (whoever he is) to 'Captain' as well as 'proposer' it makes no difference to the logic of the puzzle.

If there are any further problems, please let me know.


Edited on April 6, 2012, 12:20 pm
  Posted by broll on 2012-04-06 12:13:09

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