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Part of 2017 Portugal MO

Problems(1)

numbers 1-8 at vertices of a cube - Portugal OPM 2017 p4

Source:

5/15/2024
Numbers from 11 to 88 are placed on the vertices of a cube, one on each of the eight vertices, so that the sum of the numbers on any three vertices of the same face is greater than 99. Determines the minimum value that the sum of the numbers on one side can have.
combinatoricsalgebra