Problems(1)
We call a 5-tuple of integers arrangeable if its elements can be labeled a,b,c,d,e in some order so that a−b+c−d+e=29. Determine all 2017-tuples of integers n1,n2,...,n2017 such that if we place them in a circle in clockwise order, then any 5-tuple of numbers in consecutive positions on the circle is arrangeable.Warut Suksompong, Thailand combinatoricsAPMO