ntegers with a šum that exceeds a given value? Does the following algorithm show that this problem is in NP? Why or why not? For full credit, explain exactly what the algorithm does.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Consider the following problem: for a given set of integers, is there a subset of these integers with a sum
that exceeds a given value?
Does the following algorithm show that this problem is in NP? Why or why not? For full credit, explain
exactly what the algorithm does.
// Input: S, a set of integers
// Input: k, an integer
// Output: True if the sum of the values of some subset of S exceeds k
//
False otherwise
CheckLargestSum( S, k)
oracleMax - 0
for each x in S do
shouldInclude -
oracle( x)
if shouldInclude
oracleMax = oracleMax + x
if oracleMax > k
return True
else
return False
Transcribed Image Text:Consider the following problem: for a given set of integers, is there a subset of these integers with a sum that exceeds a given value? Does the following algorithm show that this problem is in NP? Why or why not? For full credit, explain exactly what the algorithm does. // Input: S, a set of integers // Input: k, an integer // Output: True if the sum of the values of some subset of S exceeds k // False otherwise CheckLargestSum( S, k) oracleMax - 0 for each x in S do shouldInclude - oracle( x) if shouldInclude oracleMax = oracleMax + x if oracleMax > k return True else return False
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