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Prove that the knapsack problem is in NP To show a problem belongs to NP, you must do four things: 1) describe the encoding used
Prove that the knapsack problem is in NP
To show a problem belongs to NP, you must do four things:
1) describe the encoding used for the instance
2) describe the encoding used for the certificate
3) describe the algorithm that will check if the certificate is a valid solution
4) analyze the time complexity of that algorithm.
If the complexity is bounded by some polynomial of the input size, then the problem is indeed in NP
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