Fórum: Érdekes matekfeladatok
Játékszabályok Technikai információ TeX tanfolyam Elfelejtettem a jelszavam Témák
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| [1818] tomii282 | 2007-01-26 20:38:19 |
 a kalozos feladatot h kell megoldani?
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| [1817] tomii282 | 2007-01-26 20:36:12 |
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A termeszetes szamok halmazan ertelmezett f fuggvenyre teljesul a kovetkezo feltetel: f(1)+2f(2)+...+nf(n)=[n(negyzeten)*(n+1)]/2*f(n),barmely n>=1 eseten, ha f(1)=2006,szamitsuk ki az f(2006) erteket
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| [1823] Lacczyka | 2007-01-26 20:33:19 |
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A kalózos feladat más.
Van 10 kalózunk, akik szereztek száz aranyat, és egy sajátos osztozkodási eljárással osztják szét. sorba állítják magukat elvetemülség alapján, és a legelvetemültebb kalóz tesz egy osztozkodási ajánlatot: megmondja, hogy ki mennyit kap a 100 aranyból. Ezek után a kalózok szavaznak, és ha megvan az 50% (nem kell +1) akkor elfogadák, és úgy lesz. Ha nem fogadják el, akkor tengerbe dobják az illetőt, és a második legelvetemültebb tehet javaslatot, és így tovább. A kalózok döntési elvei: 1)leginkább életben akarnak maradni. 2) pénzéhesek, vagyis úgy döntenek, ahogy több arany üti a markukat. 3) vérszomjasak: ha nem származik hátrányuk egy társuk halálából, akkor automatikusan nem szavazzák meg a javaslatát. Kérdés: hány aranyat tud megtartani magának a legelvetemültebb rabló? Egyáltalán, életben maradhat? A feladat megítélésem szerint nagyon jó... ha nem ismerted, akkor határozottan ajánlom figyelmedbe :)
Üdv: Lacczyka
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| [1815] HoA | 2007-01-26 14:39:32 |
 Osztozkodásból a "három rabló osztozik egy halom aranyporon" ismerős, ahol
- az arany tetszőleges finomsággal osztható
- mérleg nincs
- az igazságosság mércéje a kitűzésben meg van adva: a két rablóra működő egyik felez - másik választ elv
Ha ez a kalózos más, például 100 diszkrét aranyérméről van szó - akkor kérem a szövegét vagy elérhetőségét.
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| Előzmény: [1814] Lacczyka, 2007-01-25 21:54:42 |
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| [1814] Lacczyka | 2007-01-25 21:54:42 |
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Hálás köszönet a feladatért! Én az oroszlános feladaton kívül csak a "kalózok osztozkodnak a 100 aranyon" feladatot ismertem, és úgy éreztem, hogy ebben a témakörben fejlesztésre szorul a "feladat-táram". Mégegyszer köszi mindenkinek!
Üdv: Lacczyka
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| Előzmény: [1813] rizsesz, 2007-01-25 18:39:31 |
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| [1813] rizsesz | 2007-01-25 18:39:31 |
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Lacinak:
http://www.diag.hu/fel.php?id=177
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| [1812] Lacczyka | 2007-01-25 15:46:51 |
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Az említett feladatot nem ismerem, légyszi tedd fel ide, vagy küldd el mailben (lacczyka@freemail.hu). Előre is köszi szépen :)
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Játékszabályok Technikai információ TeX tanfolyam Elfelejtettem a jelszavam Témák
