(2) Algorithm f(n) if n==1 return 1; return 2*f(n-1)+ n*n*n;

Q: Science

A: The code is given as,

Q: 9. The time complexity of the following code is for (i = = 0; i<n; i=i*2 ) for(j = 0; j<n; j++) k++;…

A: The solution is given below with explanation

Q: Write a program that computes the following: sigma summation i=0 to N (i^3 +2N)

A: - We need to highlight the sum of the provided series with a code. - We are using C++ here.

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: 1 g(n) = 4 · g(n/3) + log(n)

A: The solution for the above given question is given below:

Q: Indicate the run time complexity: for i = 1+ n*n: x++; for i = 1 + n: x++; O O(n²) O O(n? lg n) O…

A: In the above code first for loop will executes for n*n times so it will gives O(n2) And as for the…

Q: Consider the following program: Fib[n] if(n==0) then return 0 else if(n==1) then return 1 else…

A: Given program:   Fib[n] If(n==0) then return 0  else if(n==1) then return 1 else return…

Q: big o notation def f(n): for i in range(n): x = 0 while x < n: print(x + n) x = x + 1

A: for loop runs n from i = 0 till i reaches n. It runs n times. Inside for loop we have while loop…

Q: Assume n is the number of inputs. Give the big-O characterization, in terms of n for the following…

A: The given algorithm iteratively prints the value of `i` starting from `n` and dividing it by 2 in…

Q: MATLAB: Create function files that will: generate sequence y(n) = x1(n) x2(n) [y,n] =…

A: Set x(1), x(2) ... ... Set i = n + 1. While i &lt;= 2^n. Set z = the opposite of x(i‐1) (i.e. if…

Q: O(log n) + O(n) = ?

A: EXPLANATION: The big-O notation represents the upper bound of the complexity for any given problem.…

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: ndicate the run time con or i = 1 + n*n: x++; For i = 1 e n: x++; O O(n² lg n) Oln3)

A: The first for loop will run for O(n2)times. The second for loop will run for O(n) times . Therefore…

Q: 11. Prove each of the following by mathematical induction. a) 1.2.3 + 2.3.4 +.+n (n + 1n + 2) =…

A: Steps to prove a statement by mathematical induction: 1. Prove that statement is true for n=1 2.…

Q: Examine the following for loop and determine how many times this loop will be executed. for kk = [O…

A: syntax of for loop in matlab: for index value      bodyend

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

A:

Q: Is the following statement true or false?

A: In the given statement SQRT(n)+log(n)=O(log(n), the dominate term on the lest, SQRT(n), is not…

Q: Determine the order of growth of the following snippet of code:

A: Given m and n are non-negative integers and Initially s is 0 and n decrements by 1 in each iteration

Q: Write a program that reads N from the user and compute the following series:  (N-1)-((N-2)^2) /8+…

A: using C++ language for  this problem algorithm= styep-1 initialize the variable  step2 generate a…

Q: If f(n) is the number of times that  y=y+A[i]; is executed in the code segment below, which of the…

A: The outer loop is for loop controlled by value of j The inner loop is while loop controlled by value…

Q: Calculate the runtime of T(n)=2T(n/4) + sqrt(n) (in Theta Notation)

A: I have answered the question using master's method and given solution in step 2.

Q: (a) Consider the following algorithm. Input: A non-negative integer n. (1) If n % 5 = 0, stop.…

A: As per Bartleby rules, we are answering only one question 2. (a) We are using PYTHON here to…

Q: Find the complexity of the given loop by counting the number of iterations for n = 100 and n = 1000.…

A: Here in this question we have given a code segment and we have asked to find the complexity of loop…

Q: Consider the following code. Assume alist is a list of n numbers. Select the best answer that…

A: ANSWER O(N**2)

Q: Indicate the run time complexity: k+ 0; for i <0 to n-1: k = k +i O Ollg n) O O(n lg n) O O(n) O…

A: Time complexity of an algorithm signifies the total time required by the program to run till its…

Q: The time complexity of the following code is O(n^2). In C++, write a code to confirm the time…

A: #include &lt;bits/stdc++.h&gt;using namespace std; int main(){    int n=5;    int j=2;    int sum=0;…

Q: hat is the time complexity and Big O notation for each of the following code segments?…

A: for(i=0;i&lt;n;i++){Statement;} f(n) =O(n) =

Q: Determine the order of growth of the following snippet of code:

A: Here the while loop will run untill i becomes greater then n Suppose n=256 So the different values…

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.