Why do we always consider the worst case for any given algorithm? Explain the Random Access Machine (RAM) model

What is the time complexity of the best-known algorithm for solving the Traveling Salesman Problem (TSP)? Can this problem be solved in polynomial time, or is it an example of an NP-hard problem?

Which algorithm has the worst time complexity in average?

Please answer fast I will rate for you sure....

Find the running time for each of the following algorithms. Show work by finding a table of values for each while loop, writing the summations, then solving. Be sure to show work on both the upper bound and lower bound, justify the split, and check that the bounds differ by only a constant factor. Use asymptotic notation to write the answer. a) Func2(n) 1 2 3 4 5 6 7 S ← 0; j←7n²; while (j > 8) do s+ s + i- j; je lj/9]; end return (s);

Consider the following functions as time complexities of some algorithms. (a) First write the worst-case runtime of each algorithm in Big-O notation. (b) Then arrange functions from low to high (Consider their Big-O notations as you arrange them; as n grows, the function that grows slower should come sooner than the one that grows faster). (c) Arbitrary, select TWO of arrangements in part (b) and for each one of them justify why you have chosen such an ordering for the corresponding function. Provide formal proof. For example if fl<=f2<= f3<= f4<=f5 you may choose to formally justify why (1) fl<=f2 and why (2) f4<=f5 . fI(n)=n², f2(n)=210 nlogn, f3(n)=3", f4(n)=n, f5(n)=1, f6(n)=5*logn, f7(n)= n", f8(n)=4 n*n, f9(n)=2log(n³)

The Apriori algorithm is wasteful. Please suggest three ways in which we may enhance it.

question- Implement Floyd's algorithm for the Shortest Path on your system, and study its performance using different graphs. Side note- Below I have attached Floyd's Algorithm for Shortest Paths. please use java language for coding java file - should start with your Last Name, Like SmithClubApp, PetrowskiTravelLogApp, for your class short paragraph should include- -description of the java file -what it does? -what is the input data? expected output, samples of both

OS Let's Try This One ... Process P1 P2 P3 P4 P5 CPU-burst 7 4 5 4 2 Arrival Time 0 2 2 4 6 (a) Solve using FCFS (b) Solve using non-preemptive SJF (c) Solve using preemptive SJF 59

Can you answer this question again? In the first attempt algorithms time complexity is given to be O(n^3) and now it is changed as O(n^2). What is the best algorithm, code and time complexity to this question?