866
But first they would need to invent some tape
(i.imgur.com)
They could have fitted the whole ring / tape / mouse assembly into a small paper bag Aragorn could have kept it in his jacket and fed it little bits of lembas on the way how lovely x
Really the whole story of Sam could be boiled down to drive of a man who really wanted to get back to a life of a good women and great food.
Great food = potatoes
Mushrooms, really.
Humble but great