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Friday, June 16, 2006

Puzzle

There are 5 thives A, B, C, D, E with 100 gold coins that they have to divide among them.
Each of them proposes a strategy to distribute the coins starting from A. If this strategy is accepted by a majority it wins (even A votes). If not A is killed. This continues until a decision is reached.
The priority for the thives are
1. Their own life
2. Gold
3. Enemity with other thieves
What is the strategy for A to get max gold coins ???

Solution in rot13 :
V nz gbb ynml gb glcr guvf bhg - ohg guvf vf n pynffvp vgrengvir fbyhgvba onfrq chmmyr. Fgneg jvgu nffhzvat 1 crefba, gura nffhzr 2 naq pbzcner jvgu gur fvghngvba va gur cerivbhf pnfr naq pbagvahr vapernfvat zb. bs ccy.
Urer vf gur qvfgevohgvba sbe N, O, P, Q, erfcrpgviryl sebz pnfrf bs 1 crefba, 2 crefbaf, 3 crefbaf, rgp ner:

1 Crefba - uhaqerq
2 Crefbaf - mreb, uhaqerq
3 Crefbaf - avaglavar, bar, mreb
4 Crefbaf - avaglfrira, mreb, gjb, bar
5 Crefbaf - avaglfrira, mreb, bar, mreb, gjb

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