Na kruhovom opevneni hradu je niekolko vezi. Do nich sa da rozmiestnit 5 cienych a 5 cervenych rytierov {v kazdej casti ich moze byt viac a moze mat rozne farby}. Po uplinuti hodiny vsetci cierny rytiery prejdu do susednej veze v smere hodinovych ruciciek a vsetci cerveni rytieri prejdu do susednej veze v opanom smere. Dokazte nasledujuce tvrdenie:
a} Ak je vezi osem, rytieri sa mozu rozmiestnit tak ze pocas kazdej hodiny bude v kazdej vezi aspon 1 rytier.
b} Ak je vezi 7, niektoru hodinu ostane aspon jedna veza neobsadena nech sa uz na zaciatku rytieri rozmiestnia ako kolvek
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