Problem 660. Find a subset that divides the vector into equal halves

Created by Ned Gulley
Appears in ASEE Challenge

Difficulty:Rate

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Given a vector x, return the indices to elements that will sum to exactly half of the sum of all elements.

Example:

 Input  x  = [1 2 3 4 5 6 7]
 Output xi = [1 6 7]

because

 sum(x) = 28
 sum(x([1 6 7])) = 14

The answer is not necessarily unique and the order is unimportant. We will just test to make sure that sum(x)/2 is sum(x(xi))

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2070 Solutions
391 Solvers

Last Solution submitted on Mar 11, 2025

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Hassan Dehghani on 7 Apr 2014

why do i get internal server error :(((

Ned Gulley on 8 Apr 2014

Hassan, where are you getting an internal server error? Maybe leave your comment on the solution that has the related error? I'm guessing that your solution relies on randomness, so if you don't get lucky, the answer will time out. You may get lucky on your computer, but not on the Cody server.

John D'Errico on 22 Aug 2016

A basic one liner with intlinprog, but not an option in Cody. :)

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