Arrange the numbers from 1 to 15 in such an order that any two consecutive numbers in the sequence add up to a perfect square.

15 --1 10
14 --2 11 
13 --3 12
12 --4 13
11 --5 14
10 --6 15
9  --7
8  --1
7  --2 9
6  --3 10
5  --4 11
4  --5 12
3  --1 6 13
2  --7 14
1  --3 8 15

8 1 15 10 6 3 13 12 4 5 11 14 2 7 9
9 7 2 14 11 5 4 12 13 3 6 10 15 1 8

are the possible solutions

Posted by Praneeth Yalavarthi on 2007-07-17 08:49:57