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Question: How to find the minimum plus-minus ?

Question:How to find the minimum plus-minus ?

Markiyan Hirnyk 7804 Maple
programming sum min posint
January 20 2012
2

Let a list of n positive integers be given, e. g. [2,1,4].
Let us consider all sums of  all its members signed by +-, e. g
-2-1-4=-7, -2+1-4=-5, -2-1+4=1, ... .
How to find the sum having the minimum  absolute value with Maple?
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