Arrange integers 1- 15 in a triangle such that the upper row consists of 5 integers, all other rows represent each the absolute values of the differences between the adjacent members of the row above so that the 5th row contains one number only.

A bad example:

4   7  15  10   2
  3  12   5   8
    9   7   * oops!  Can't use 3 again.

Just wanted to explain the build-up..
Better luck to the solvers!

(In reply to computer solution by Charlie)

I found smaller triangles using 1-3, 1-6 and 1-10 by hand

1 3
2

1 6 4
5 2
3

8 3 10 9
5 7 1
2 6
4 

I was not able to find the 1-15 by hand. Your first row is 6 14 15 3 13.   There may be some patterns arising.

Would you find altering your program and trying to find higher order triangles?

Posted by Jer on 2016-02-03 11:14:00