TOT 530 1997 Spring J A2 - 25 pieces of cheese of different weights.
Source:
September 11, 2024
combinatorics
Problem Statement
You are given pieces of cheese of different weights. Is it always possible to cut one of the pieces into two parts and put the pieces in two packets so that
each packet contains pieces;
the total weights of the two packets are equal;
the two parts of the piece which has been cut are in different packets?(VL Dolnikov)