Children avoiding candies
Source: Tournament of Towns 2016 Fall Tour, A Senior, Problem #1
April 22, 2017
combinatorics
Problem Statement
children stand in a line each having candies. In one move, one of them may take some of their candies and distribute them to a non-empty set of the remaining children. After what least number of moves can it happen that no two children have the same number of candies?(N. Chernyatevya)(Translated from [url=http://sasja.shap.homedns.org/Turniry/TG/index.html]here.)