February 5–February 11, 2008

Problem

The seven integers in the circular arrangement of seven disks shown below have the property that every one of the integers 1, 2, ..., 14 is either a disk or else is the sum of the integers in two adjacent disks. Can you replace the numbers in the disks with integers, none of which is 5, and retain the same property?

1, 2, 10, 4, 5, 6, 7

Solution

here.

List of solvers

Juliette Becker (high school), Dan Siddoway, Steve Wilmarth, Kevin Wallace (undergrad), Dustin Moody, Alan Jamison, Gary Ramond (grad), Lloyd Sakazaki, Navdeep Jaitly (outside), Rich Bauer (alum)

The winner this week is Juliette Becker!