1997 PMWC Problems/Problem T10

Revision as of 13:44, 20 April 2014 by TheMaskedMagician (talk | contribs) (Problem)

Problem

The twelve integers $1, 2, 3,\dots, 12$ are arranged in a circle such that the difference of any two adjacent numbers is either $2, 3,$ or $4$. What is the maximum number of the difference $4$ can occur in any such arrangement?

Solution

Less than 9. This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

1997 PMWC (Problems)
Preceded by
Problem T9
Followed by
Last
Problem
I: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
T: 1 2 3 4 5 6 7 8 9 10