# Puzzles/No Average Spanned

Puzzle posed and solved by Boyko Bantchev in the J programming forum on 2005-11-29.

Arrange a list of distinct positive integers so that no two numbers
have their average between them in the sequence.
For example,` 6 2 10 8 5 `is a correct ordering while` 6 2 10 5 8 `is not,
since` 5=-:+/2 8 `and` 5 `is placed between` 2 `and` 8` .

# Solutions

/:~&.(|."1@#:) /: |."1@#: