MathDB

Construct a set of

k

integer weights that allows you to get any total integer weight from

1

up to

55

grams even if some of the weights of the set are lost. Consider two versions: (a)

k = 10

, and any one of the weights may be lost; (b)

k = 12

, and any two of the weights may be lost.
(D Zvonkin)
(In both cases prove that the set found has the property required.)

Problem Statement