MathDB
Salaries of Employees

Source: Tournament of Towns, Fall 2002, Junior A Level, P1

May 16, 2014
combinatorics proposedcombinatorics

Problem Statement

There are 20022002 employees in a bank. All the employees came to celebrate the bank's jubilee and were seated around one round table. It is known that the difference in salaries of any two adjacent employees is 22 or 33 dollars. Find the maximal difference in salaries of two employees, if it is known all salaries are different.