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'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 No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: No Subject | Comment 12 of 14 |
(In reply to No Subject by Hugo)

Hugo,

There is nothing to stop LJS awarding 0 shares to any of his companions. Similarly, Ham is entitled to award himself 100 shares and Jesse none. This leads by the same process of reasoning you used to a possible division {80,0,0,0,0,0,2,4,6,8} which should be passed. The actual proposal {75,1,1,1,1,1,2,4,6,8} leads to some logical complications (partly hinted at in your and Dej's answers) that I thought solvers might be interested to explore.

Any other views on these?

Edited on April 7, 2012, 2:39 am
 Posted by broll on 2012-04-07 02:34:21

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