MathDB

TOT 314 1991 Autumn O S4 30 numbers on a circle a=|b-c|

Source:

June 9, 2024

algebracombinatorics

Problem Statement

Thirty numbers are placed on a circle. For every number

A

we have:

A

equals the absolute value of

(B- C)

, where

B

and

C

A

clockwise. The total sum of the numbers equals

1

. Find all the numbers.
(Folklore)