We mentioned that if we want to prove P = NP, we only need to pick up any one NPC problem and design a polynomial-time algorithm for the problem. If you want to prove P = NP, select one NPC problem based on your preference and describe your idea of a polynomial-time algorithm that solves the problem. It does not have to be a formal algorithm or pseudo-code, a description of your idea of designing such an algorithm would be fine.

i need the answer quickly

I'm trying to create a Python program that given a data set, I need to determine parameters r, s so f(a) = r exp(sa) fits the given data set in a least squares sense. A sample data set would look something like a = 1,2,3,4,5 and b = 2,4,6,8,10.

Two computer scientists-turned-farmers are planning what and how to plant during the upcoming season. There are four possible courses of action they can take, and they seek advice. In each case the outcome is either NP-complete or it can be calculated in polynomial time. You are tasked to assess the existence of a polynomial time algorithms and explain how it is assessed. If you find one, show it. If you did not find one, explain why one does not exist. There is a total of n tons of seeds to plant, with k number of types of crops, labeled for simplicity as c1, c2, c3, ..., ck. The quantities of each crop are given by 2i, where i ˃ 0 is an integer. The two farmers want to each plant an equal mix of crops.

Explain the concept of keyword research in the context of search engine optimization (SEO).

Consider the problem of searching for genes in DNA sequences using Boyer-Moore algorithm. A DNA sequence is represented by a text on the alphabet {A, C, G, T}, and the gene segment is the pattern. Choose the problem instance for your group. (Choose the text and the pattern for your group.) If you choose a different problem instance, your answer will not be accepted and you will get zero for your solution.Construct the bad-symbol shift (?1) table and the good-suffix shift (?2) table.

PLAESE SOLVE THE FOLLOWING USING PYTHON if needed ON JUPYTER NOTEBOOK AND POST THE SOLUTION INCLUDING SCREENSHOTS,