What are the lowest and highest possible scores of Tudor?
Source: Moldova JTST 2009
May 10, 2023
combinatorics
Problem Statement
Petrică, Vasile and Tudor participated at a math contest. At the contest problems where proposed, each worth distinct integer numbers of points. Petrică solved problems completely and got points and Vasile solved problems completely and got points. Tudor solved all problems completely. What are the lowest and highest possible scores of Tudor?