Bushy
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Final Answer: 25
Breakup:
Friend A------Friend B-----Friend C-----DOG
8---------------8------------8-----------1 ------- Remaining8+8) 16
5---------------5------------5-----------1 ------- Remaining5+5) 10
3---------------3------------3-----------1 ------- Remaining3+3) 6
2---------------2------------2
That way it can have infinite number of solutions, where the number of rotis is always 1 more than the LCM.