olymmath

RU-ALLRUSSIAN 1980 Problem 3

    35 containers of total weight 18 must be taken to a space station. One flight can take any collection of containers weighing 3 or less. It is possible to take any subset of 34 containers in 7 flights. Show that it must be possible to take all 35 containers in 7 flights.

    Dataset text NuminaMath olympiads. Quoted with source.

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