Construct a trace table to trace the action of the algorithm below for the input variables given. a := 53, d := 11 r:= a, q := 0 while (r 2 d) r:=r - d 9 := q + 1 end while iteration 3 4 a 53 d 11 53

Q: for i: = 1 to 4n S:= 0 for j:= 1 to i - 1 s:= s+j• (i - j+ 1) next j r:= s? next i (a) What is the…

A: LINE 1 -     for i := 1 to 2nLINE 2 -                s := 0LINE 3 -                for j := 1 to…

Q: i = = 1 loop (i <= 5) j = 1 loop (j <= n) k = 1 loop (k <= n) end loop j = print(i, j, k) k = k + 1…

A: In this question we have been given an algorithm and we need to find the Big (O) complexity of the…

Q: Exercise 4 int loop(int N){ int loop = 0; for(int i=0; i<N; i++){ for(int j=i; j<N; j+=i){ loop++; }…

A: Answer. Time Complexity = O(n^2) Space Complexity = O(1)

Q: Looking at the following algorithm, please give an analysis of it in terms of time complexity using…

A: The objective of the question is to analyze the given algorithm in terms of time complexity and…

Q: Calculate Big O for the following algorithm. Assume all variables are declared, have values, and the…

A: Consider the given algorithm, where all variables are declared properly.   Sum=0; //Line 1…

Q: 2. Find an expression involving n that gives the total number of operations performed by the…

A: Consider  for i:=0 to n as i-loop for j:=0 to i as j-loop

Q: Find the values of e and f after execution of the loop by first constructing a trace table. e := 3,…

A: iteration 0 1 2 3 k   1 2 3 e=e*k 3 3 6 18 f=e+f 0 3 9 27

Q: Give the total number of additions used in this segment of an algorithm. Give a big-O estimate for…

A: a) The line t:=t+2+3 only contains one addition operation. This line of code contains two addition…

Q: For the following algorithms given in pseudocode, describe what each algorithm does.

A: Consider the given pseudocode : Begin    S :=0    For k = 1 to n do         S:= S + 1 / k    Output…

Q: Calculate the running time of the algorithms using big-O notation: a) for (i = 1; i*i*i 1; i =…

A: Big O notation is essential in computer science and mathematics for describing and analysing…

Q: Find The Time Complexity and The Space Complexity

A: Time complexity of given program: