Algorithm to  illustrates the procedure for Fibonacci search. Here n, the number of data elements is such that: i) Fk+1 > (n+1); and ii) Fk + m = (n +1) for some m ≥ 0, where Fk+1 and Fk are two consecutive Fibonacci numbers.

Trace counting sort on the following list L of unordered keys which lie withinthe range [10, 18].L[1:10]: 16 11 18 13 11 12 15 15 18 16

What is the return value if B = {1, 3, 5}? Algorithm Ex5(A): Input: Arrays A and B each storing n ≥ 1 integers. Output: The number of elements in B equal to the sum of the prefix sums in A. c ← 0 for i ← 0 to n - 1 do       s ← 0      for j ← 0 to i do            s ← s + A[0]            for k ← 1 to j do                  s ← s + A[k]      if B[i] = s then           c ← c + 1 return c

For each question, an algorithm will be described that operates on N elements, and your answer should include: (a) a big-O expression that describes the total number of operations in the worst case (for ex- ample, O(N³)) (b) a description of how to achieve the same effect as the algorithm described, but achieved with a better big-O time bound (for example, "use mergesort instead of insertion sort") (c) the big-O time bound for your improved approach. Your improved algorithm does not need to be provably the best possible, but it should have a different and better big-O bound. (It may not be as simple as substituting one named algorithm for another; consider what is redundant about the work done by the existing algorithm.) You don't need to use pseudocode to describe your algorithms - the style used in the problem descriptions is also sufficient for your solutions. You can use pseudocode if you like. Do not write real code. If you wish to use an algorithm described in class, you can name…

Consider the following algorithm that uses a sorted list of n elements (alist). What is the worst case runtime of this algorithm? for each element in alist    1. ask the user for an input, call it value    2. search value in alist using binary search    3. if value exists in alist, print "successful"       otherwise print "unsuccessful"      Question options: a. O(log n) b. O(n) c. O(n log n) d. O(2^n) e. O(n^2) f. O(1)

Question 5: Professor Bond has developed the following algorithm that he claims is going to be a break through in computer science. 1 23400 HER 2 { 6 7 8 9 10 11 Assuming array is zero indexed, A[0] is the first and A[n-1] is the last element, the algorithm is as follows: mystery Function (A, n) 12 13 } int last Pos=n-1; while (last Pos > 0) { } int maxPos=0; for (int i=0; i A[maxPos]) i; maxPos = swap (A, maxPos, lastPos); last Pos last Pos - 1; - Given all of this, answer the following questions. Explain what the algorithm does in plain English. Why does the while loop in the algorithm's pseudocode iterate over all ele- ments but the last, rather than for all elements? (c) (d) What is the best-case of this algorithm? What is the (...) bound on the running time of the best-case of this algorithm? What is the worst-case of this algorithm? What is the (...) bound on the running time of the worst-case of this algorithm?

Trace counting sort on the following list L of unordered keys which lie withinthe range [10, 18].L[1:10]: 16 11 18 13 11 12 15 15 18 16

All your fractions are belong to base def group_and_skip(n, out, ins): A pile of n identical coins lies on the table. In each move, the coins in the currently remaining pile are arranged into groups of exactly out coins each, where out is a positive integer greater than one. The n%out leftover coins that did not make a complete group of out elements are taken aside and recorded. From each complete group of out coins taken out, exactly ins coins are put back into the pile, and the rest of the coins of that group are discarded aside. Repeat this until the pile becomes empty, which must eventually happen whenever out>ins. Return a list that tells how many coins were taken aside in each step. As you can see in the first three rows, this method produces the digits of n in base out in reverse order. So this entire setup turned out to be the cleverly disguised algorithm to construct the representation of integer n in base out. However, an improvement over the standard algorithm for such…

Write Algorithm procedure code to illustrates the procedure for Fibonacci search. Here n, the number of data elements is such that:i) Fk+1 > (n+1); andii) Fk + m = (n +1) for some m ≥ 0, where Fk+1 and Fk are two consecutiveFibonacci numbers.