Difference between revisions of "1997 PMWC Problems/Problem T10"
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==Problem== | ==Problem== | ||
| − | + | The twelve integers <math>1, 2, 3,\dots, 12</math> are arranged in a circle such that the difference of any two adjacent numbers is either <math>2, 3,</math> or <math>4</math>. What is the maximum number of the difference <math>4</math> can occur in any such arrangement? | |
| − | The twelve integers 1, 2, 3, | ||
==Solution== | ==Solution== | ||
Revision as of 13:44, 20 April 2014
Problem
The twelve integers 
are arranged in a circle such that the difference of any two adjacent numbers is either 
or 
. What is the maximum number of the difference 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 | ||
