I need the algorithm, proof of correctness and runtime analysis for the problem. No code necessary ONLY algorithm. And runtime should be O(m log m) as stated in the question.

[a] Prove that the "Bin Packing Problem" (BPP) is NP-Complete. Like the rest of the exam, you may use online resources but should cite your source and summarize the proof in your own words. [b] Write an approximation algorithm for the online version of BPP that randomly considers up to three partially filled bins, and if none have room, then create a new bin and use that. [c] What modification to your solution in [b] would you recommend to solve the offline version of BPP. [d] In light of your prior knowledge of and experience with approximation algorithms for BPP, provide a reasonable estimate of the error bound

MATLAB PROBLEM

4. Develop a Python code to implement bisection method to solve the problem-2. That is for: f(x) = 5?3 ―5?2 + 6?―2 find roots of this equation using bisection method. Employ initial guesses of xl = 0 and xu = 1 and iterate until the estimate error ɛa falls below a level of ɛs = 1%. Compare your answers from problem 2. Report the following: a) Estimated Roots b) Number of iterations required

Provide an illustration of how the Structured Programming Theorem may be used to get rid of GOTO uncertainty and make spaghetti code easier to understand. In the essay of the required length that you are going to write, you should only use your own words.

Explain the code solution to this problem in a step-by-step way. The steps should be described in English, and it should explain each part of the code step by step.

Could you explain in depth what the question is asking and have clear steps so I can understand the code, which should be in c++ Thank you!

(b) Consider the following pseudo code. Procedure P (A, B: real) X: real Procedure Q (B, C: real) Y: real ... Procedure R (A, C: real) Z: real .. (*) Assuming static scope, what is the referencing environment at location marked by (*)?

can someone help me with this problem in C and explain how to do it step by step

Precisely specify the conditions under which the following algorithm returns True, and then discuss, in detail, the running time of the algorithm. If you think it has different best- and worst-case running times then these should be considered separately, and you should explain the conditions under which best and worst-cases arise.