2. Consider the following algorithm which receives as input two numbers m and n and sets result to m x n; div is the integer division operator. result repeat 0 if m is odd then L result mm div 2 nnn until m < 1: result + n • State (as a function of m and n) how many times the loop is executed and justify your answer. • Give the running time of the algorithm in ☺ notation as a function of m and n. Explain how you reached the answer.
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- The Fibonacci series begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the two preceding terms. The first few terms are: 0, 1, 1, 2, 3, 5, 8, 13, 21, ... Write an algorithm in pseudo code to generate and print the first N terms of the Fibonacci series where N is user-defined. Pay attention to how your algorithm prints the first two terms.Please written by computer sourceFind the maximum value of the following function F(x)=2x3 , using the genetic algorithm, performing two iterations.
- Please solve this asap and this is not a graded question if you don't know how to solve it please leave it for another person to solve this is literally a n exercise.= = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.1. A runner targets herself to improve her time on a certain course by 3 seconds a day. If onday 0 she runs the course in 3 minutes, how fast must she run it on day 14 to stay ontarget?2. A certain computer algorithm executes twice as many operations when it is run with aninput of size k as when it is run with an input of size k − 1 (where k is an integer that isgreater than 1). When the algorithm is run with an input of size 1, it executes sevenoperations. How many operations does it execute when it is run with an input of size 25?
- You have an array of 10,000 subject scores for a high-school exam and you want to find the scores that are ranked from 4900 to 5100 that is the 201 most middle-ranked scores. Precisely describe two alternative algorithmic ap proaches to doing this - one of which is, in terms of time complexity, more efficient than the other.Suppose the runtime efficiency of an algorithm is presented by the function f(n) = 10n + 10². Which of the following statements are true? Indicate every statement that is true. A. The algorithm is O(n log n) B. The algorithm is O(n) and O(log n). C. The algorithm is O(log n) and 80(n). D. The algorithm is (n) and (log n). E. All the options above are false.Assume that n is a positive integer. for k:= 3 to n for j :=1 to 6n x := a[k] = b[j] next j next k (a) Compute the actual number of elementary operations (additions, subtractions, multiplications, divisions, and comparisons) that are performed when the algorithm segment is executed. For simplicity, however, count only comparisons that occur within if-then statements; ignore those implied by for-next loops. (b) what is the order of the algorithm? 0(nb) where b =
- You are given the task of analyzing how joyful a person is. If you are given a list of numbers that represent the emotional value of an individual on each day, design a divide and conquer algorithm to find the most joyous interval of the person. The measure of joy is given as sum of the values in interval multiplied by the smallest integer in the interval.There are n different sizes of boxes, from 1 to n. There is an unlimited supply of boxes of each size t, each with a value vt . A box of size t can hold several smaller boxes of sizes a1, a2, . . . , ak as long as the sum of sizes a1 + a2 + . . . + ak is strictly less than t. Each of these boxes may be filled with yet more boxes, and so on. Design an algorithm which runs in O(n2 ) time and finds the maximum value that can be attained by taking one box, potentially with smaller boxes nested inside it.NOTE: The algorithm should be written in pseudo code, (explanation of the algorithm rather than code)