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
re(3): computer solution by Charlie)
Searching for the string of 5 numbers you found yields a few hits.
http://mathoverflow.net/questions/47905/integers-in-a-triangle-and-differences
Seems to indicate it has been proven that n>5 is not possible.
Thanks for looking.
Edited on February 4, 2016, 5:14 pm
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Posted by Jer
on 2016-02-04 07:24:10 |
re(4): computer solution
