MathDB

We are given five equal-looking weights of pairwise distinct masses. For any three weights

A

B

C

, we can check by a measuring if

m(A) < m(B) < m(C)

, where

m(X)

denotes the mass of a weight

X

(the answer is yes or no.) Can we always arrange the masses of the weights in the increasing order with at most nine measurings?

Problem Statement