Problem #PRU-116378

Problem

Nick has written in some order all the numbers $1,2,...33$ at the vertices of a regular $33$-gon. His little sister Hannah assigned to each side of the $33$-gon the number equal to the sum of the numbers at the ends of that side. It turns out that Hannah obtained $33$ consecutive numbers in certain order. Can you find an arrangement of numbers as written by Nick which lead to this situation?