MathDB

174

Part of 1950 Moscow Mathematical Olympiad

Problems(1)

MMO 174 Moscow MO 1950 3 piles from 81 weights of 1^2, 2^2, . . . , 81^2

Source:

8/6/2019
a) Given 555555 weights: of 11 g, 22 g, 33 g, . . . , 555555 g, divide them into three piles of equal mass.
b) Arrange 8181 weights of 12,22,...,8121^2, 2^2, . . . , 81^2 (all in grams) into three piles of equal mass.
weighingscombinatoricsalgebra