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Dascal triangle (Posted on 2016-02-02) Difficulty: 3 of 5
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!

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: computer solution | Comment 2 of 8 |
(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
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