Numbers Between the Pairs*

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We have a brainteaser that we have spent many hours on and cannot solve.
Thanks, Mitchell W. 
Grade 4

Arrange the numbers 1, 1, 2, 2, 3, 3,....., 15, 15, 16, 16 in such a way that there is one number between the ones and two numbers between the twos and three numbers etc... and so on up to sixteen numbers between the sixteens.

* This puzzle is an extended version of Langford's problem.

 

Mini-Contest 17 - Numbers Between the Pairs is FINISHED

 
It was our eighteenth mini-contest. Now we'd like to propose this contest's results and some details about the puzzle and its solution. With this Mini-Contest 18 is finished.

We thank you for your participation, and look forward to the next Mini-Contests. Happy Puzzling!
 
 

Contest Results

 
The winners are:
1. Horst Karaschewski.
2. Jensen Lai.
3. Michele Ely.
4. Elizabeth Johnston.
5. Hiren Desai.
6. T. Swarnalata.
7. Thiago Alexandre dos Santos.
8. Joey Hwang.
9. Robert Myers.
10. Kiruthika K.
11. Sule Tutan.
12. Lee Root.
13. Hennie van der Merwe.
14. Big Trev.
15. Vikas Mehta.
16. Ian Pedder.
17. Alan Lemm.
18. NickyG.
19. Deepali Chandratre.
20. Rakesh Soni.
 
Last Updated: January 15, 2008  |  Posted: March 19, 2002
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