i need help soon. i know the optimal sum is 36... need answer, ty!
For each arrangement of the ten numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, and 28 around a circle, let N denote the largest of the ten sums obtained by adding three consecutive numbers. What is the smallest value of N that can be obtained?
+118690 I have no idea how to do this but I would be interested if anyone else has an approach. 
+33652 I've done a few Monte-Carlo simulations of this and get 48 as the smallest value for N. Here are a few arrangements that give this (remember that the numbers are arranged in a circle, rather than the straight line shown here):
16 22 10 7 28 13 1 19 25 4
7 10 25 13 4 28 16 1 19 22
4 16 10 22 7 13 28 1 19 25
