7 pos. integers with sum 36 around a circle 2018 May Olympiad L1 p4
Source:
August 24, 2021
combinatorics
Problem Statement
Anna must write positive integers, not necessarily distinct, around a circle such that the following conditions are met:
The sum of the seven numbers equals .
If two numbers are neighbours, the difference between the largest and the smallest is equal to or .
Find the maximum value of the largest of the numbers that Anna can write.