Consider the algorithm: Algorithm Input: A natural number n (1) let c := n (2) repeat (a) let c = c +4

Q: 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: To compute the actual number of elementary operations performed by the given algorithm segment,…

Q: ython implements Newton's algorithm for finding the square root of a number using recursion NOTE:…

A: square of a number using recursion:-

Q: 1. We are given the following algorithm segment as below: for j :=1 to 2n for k:=1 to 2n a[j] = 2 *…

A: Algorithm: An algorithm is a step-by-step process of solving a problem or accomplishing a task.…

Q: Given an input n, how many operations does this algorithm perform (as a function of n)? (For our…

A: 1. how many operations does this algorithm perform Answer: defiantly it has the two for loops but…

Q: java WAP to take an integer from user and print n*(n-1)*(n-2)

A: Requirement :- java WAP to take an integer from user and print n*(n-1)*(n-2) Approach :- take user…

Q: Problem solving using recursion There are two skeleton programs, flesh them out following the…

A: We need to write a Java code for the given scenario. *As per the guidelines only 1st question is…

Q: A recursive algorithm similar to calculating a number in the Fibonacci sequence, where each state…

A: The recursive technique appears to be more easier and smaller, but it comes with a catch: it…

Q: Consider the following recursive algorithm fib, which takes as input an integer n > 0: fib(n): if n…

A: Answer: Correct answer is 8.  Because here call of Fib(99) then 99 is greater than 0 or 1 then run…

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: write a computer program that produces the desired output from the given input. Input: Two positive…

A: Program approach: Calculate the remainder. Assign the value of b into a. Assign remainder into b…

Q: Algorithm 4 int fun2(int n) { if (n <= 1) return n; return fun2(n-1) + fun2(n-1);

A:

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: In a Collatz sequence, all of its terms are positive integers which satisfy the following recursive…

A: The Algorithm of the code:- 1. Begin 2. Initialize sequence_length = 1, 3. Input the initial term…

Q: Please answer fast Question 1   Answer following questions and write corresponding algorithms.…

A: Algorithm to check if prime or not: prime(n): if (n == 0 || n == 1)    return false;   for (i = 2; i…

Q: onsider the following non-recursive algorithm: Algorithm Euclid2(m, n) //Input: Integers m and n…

A: The Euclid2(m, n) algorithm: m &gt;= n While n != 0 do    r &lt;- m mod n     m &lt;- n    n &lt;-…

Q: A recursive algorithm has been developed as shown below: Input: List A = (a₁, ..., a) such that N ≥…

A: A recursive algorithm is one that uses "smaller (or simpler)" input values to call itself and gets…

Q: Consider the following algorithm: int f(n) /* n is a positive integer */ if (n <=3) return n…

A: We are asked to draw recursion tree for the above recursive algorithm:- What is recursion tree??…

Q: Algorithm Euclid2(m, n) //Input: Integers m and n where m >=n //Output: Greatest Common Divisor of m…

A: a. The given algorithm computes the greatest common divisor of m and n.  b Input size of this…

Q: Find The Time Complexity and The Space Complexity

A: Time complexity of given program:

Q: Algorithms in pseudo code **MUST** be placed in de blocks/fences, and use `cpp` as the syntax…

A:

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.