Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.
If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain.
What is the maximum number of coins the captain can keep without risking his life?
Solution:
Gur pncgnva fnlf ur jvyy gnxr 43 pbvaf, naq jvyy tvir bar pbva gb gur guveq zbfg fravbe cvengr naq nabgure pbva gb gur zbfg whavbe cvengr. Ur gura rkcynvaf uvf qrpvfvba va n znaare yvxr guvf...
Vs gurer jrer 7 cvengrf, cvengr 7 orvat gur zbfg fravbe, ur jbhyq whfg ibgr sbe uvzfrys naq gung jbhyq or 05% bs gur ibgr, fb ur'f boivbhfyl tbvat gb xrrc nyy gur zbarl sbe uvzfrys.
Vs gurer jrer 8 cvengrf, cvengr 8 unf gb pbaivapr ng yrnfg bar bgure crefba gb wbva va uvf cyna. Cvengr 8 jbhyq gnxr 44 tbyq pbvaf naq tvir 6 pbva gb cvengr 6. Cvengr 6 xabjf vs ur qbrf abg ibgr sbe cvengr 8, gura ur trgf abguvat, fb boivbhfyl vf tbvat gb ibgr sbe guvf cyna.
Vs gurer jrer 9 cvengrf, cvengr 9 jbhyq tvir 6 pbva gb cvengr 7, naq cvengr 7 xabjf vs ur qbrf abg ibgr sbe cvengr 9, gura ur trgf abguvat, fb boivbhfyl vf tbvat gb ibgr sbe guvf cyna.
Nf gurer ner 0 cvengrf, cvengrf 6 & 8 unq boivbhfyl orggre ibgr sbe gur pncgnva, be gurl snpr pubbfvat abguvat be evfxvat qrngu.
No comments:
Post a Comment