2

Part of 2004 Junior Tuymaada Olympiad

Problems(1)

n nunbers in a circle such that noone exceed 60% of sum of 2 neighbors

Source: Tuymaada Junior 2004 p2

For which natural

n \geq 3

numbers from 1 to

n

can be arranged by a circle so that each number does not exceed

60

% of the sum of its two neighbors?

combinatoricsSum