Difference between revisions of "TADM2E 3.12"

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When this iteration is finished R will be subset of S that adds up to k.
 
When this iteration is finished R will be subset of S that adds up to k.
  
This above solution assumes that there is only a single subset of S that adds to k.
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Above solution works even when there are multiple subsets that add up to k.

Latest revision as of 08:59, 26 December 2019

Let's put into the black box whole set $ S=\{x_i\}_{i=1}^n $. If $ bb(S) $ is True, then such a subset exists and we can go on:

  1. R:=S
  2. for i:=1 to n do
    1. If $ bb(R/\{x_i\}) $ is True then $ R:=R/\{x_i\} $

When this iteration is finished R will be subset of S that adds up to k.

Above solution works even when there are multiple subsets that add up to k.