Write a detailed algorithm of the approximation algorithm, Computer Engineering

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Write a detailed algorithm of the approximation algorithm

Problem

1. Show that if a problem is not in NP, it is not NP-easy. Therefore, Presburger Arithmetic and the Halting problem are not NP-easy.

2. Implement the approximation algorithms for the Traveling Salesperson problem, run them on your system, and study their performances using several problem instances.

3. Write a detailed algorithm of the approximation algorithm for the Bin-Packing problem given in Section 9.5.2, and show that its time complexity is in Θ(n²).

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