Cevi
Na pravokotni mreži dimenzij v × s (pri čemer sta v in s manjša ali enaka 100) je vsaka celica prazna ali pa vsebuje enega od dveh tipov cevi. Prvi tip je zavita cev
(tip L), ki povezuje dve sosednji stranici celice. Drugi tip je ravna cev
(tip I), ki povezuje nasprotni stranici celice. Z eno potezo lahko zavrtimo celico (oz. cev v njej) za 90 stopinj v poljubno smer. S takimi potezami želimo povezati vse cevi tako, da ne bo nikjer kakšnega odprtega konca cevi. Opiši in dobro utemelji postopek, ki izračuna najmanjše število potez oz. ugotovi, da to ni mogoče.
Primer: mrežo na spodnji sliki lahko primerno uredimo v 11 potezah.
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)