find lost addends selected

curious

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Aug 8, 2022
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Suppose you have a large column of all known and various addends (some may appear more than once), including both positive and negative.

Somebody tells you that they have identified certain of those addends as belonging to a certain important category. The sum of those special addends was recorded, but the identity and quantity of them has been lost.

Is there, or could there be, a computer program that can analyze this data and quickly provide the one or more solutions identifying the particular addends which will yield the known sum? If such a program exists, what is the name of it and where can it be obtained?
 
Thank you!

With that terminology I was able to find this:
 
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