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Q: Show that T(n) = O(n³) where T(n) = 1 + 2 + 3+...+n
A: If we move according to your question the sum of n natural numbers is given by n*(n+1)/2 And thus…
Q: SHOW YOUR SOLUTION Find the exact running time T(n) then explain of how you solve or get the…
A: exact running time T(n) of the given code :------------------------- code given to us is :- int…
Q: Indicate the run time complexity: for(int i = 1; i < n; i= i*2) y++; O O(lg n) O O(n) O O(n lg n) O…
A: The theta notation is used to describe the complexity of an algorithm. It bounds a function from…
Q: Arrange the following fuinctions in ascending order of growth rate. is, if function g(n) immediately…
A: Given functions worst case time complexities are:…
Q: j. Logz(n) + 7+ 4logan = 0 (logn)
A: We are given an expression and we have to prove that its asymptotic grwoth is θ(logn) is true or…
Q: [Problem 3] Using method of you choice, prove that a) T(n) = 7T(n/3) + n² log(n) is (n²) b) T(n)=…
A: Given To prove, T(n) = 7T(n/3) + n^2log(n) is Θ(n^2) T(n) = 3T(n/3) + sqrt(n) is Θ(n)
Q: b. Minimize the following DFA using State Elimination method start A B D E
A: Minimization of DFA means reducing the number of states from given FA. Thus, we get the FSM(finite…
Q: Find the closed-form equation of T(n)=*** using substitution example questions:…
A: According to the information given:- We have to Find the closed-form equation of T(n) using…
Q: Solve T(n) = k T(n/3) + n°. Note your solution will be a function of k.
A:
Q: many (1) int n = while (m Cons
A: using System; namespace Hello{ class Program { static void Main(string[] args) { int…
Q: Indicate the run time complexity: for (int i = 1; i < n; i++) { x++; y += I; } O(n lg n) O(lg n)…
A: Solution: Given,
Q: c) Solve the following recurrence equations. For all the recurrence equations, T(1) = 1. You may use…
A: Here in this question we have given some recurrance equation and we have asked to solve these using…
Q: What does it mean to say that f(n) is in O(g(n))?
A: To say that f(n) is in O(g(n)) means that there exists a positive constant K such that f(n)= kg(n)…
Q: c) Solve the following recurrence equations. For all the recurrence equations, T(1) = 1. You may use…
A: Here in this question we have given some recurrance equation and we have asked to solve these using…
Q: Question: f(n) = 3n² + 25 g(n) = 3n² Prove that f(n) = 0 g(n)
A: answer: according to BIG-O definition f(n)= O(g(n)) when f(n) <= c*g(n) for n>=n0
Q: Ex ample:- Compute the DF T when Hhe N-3 For Sequence h [n] -o<h <2
A: DFT: DFT stands for Discrete Fourier Transform. It is one of the important tools in digital signal…
Q: MOVAL,0t0100|B AND AL o0ol ||B OR ALsHoo 000o B xOR ALODO0 HIB Nob AL find the Result after excuting…
A: Given that, First the binary value 01010101 is moved into the AL register. Then AND followed by OR,…
Q: Solve using the iteration method: T(n) = T(n/2) + T(n/2) + cn^2
A: Given Recurrence relation T(n) = T(n/2) + T(n/2) + cn^2
Q: void test( int n) If (n>0) for(i-1; i<n; i=i++) printf (%d" , i); } test(n/2); Derive the recurrence…
A: - The question is to derive the recurrence relation and find the asymptotic complexity of the…
Q: Indicate the run time complexity: for (int i = 1; i < n; i++) for (int j=0; j < i; j+=2) k++; O O(n…
A: Given lines of code is, for(int i=1;i<n;i++) for(int j=0;j<i;j+=2) k++; The outer…
Q: Use the sub method to solve the following 2 computer alogorithsm/discrete math A)T(n) = 4T(n/4) + 2…
A: T(n) = 4T(n/4) + 2 T(n/4) = 4T(n/4^2) + 2 So, T(n) = 4 { 4 T(n/4^2) +2} +2 T(n) = 4^2 T(n/4^2) + 2…
Q: Please solve the recurrence: J(n) = J(n/2) + J(n/3) + J(n/6) + n
A: As there is no method mention by which it can be solved so here I used recursion tree method. At…
Q: Indicate the run time complexity: for (int i = 0; i < n; i=i+2) for (int j = 0; j <n; j++) sum = i +…
A: Below is the answer with explanation:
Q: T(n) = 2T(n/4) + nis O(n).
A: the solution of T(n) = 2T(n/4) + n is O(n).
Q: Solve these recurrences using the Master method. If Master is not applicable use some other method…
A:
Q: if n = 0, 1, 2 or 3 otherwise t(n) = n t(n-1) + t(n-3) + t(n-4) Express your answer as simple as…
A: Given recurrence relation is, t(n)=t(n-1)+t(n-3)+t(n-4) t(0)=0, t(1)=1, t(2)=2 and t(3)=3
Q: Solve the following recurrence using the iteration technique. () T(1) = 1 T(n) = 4T + n
A: Defined the given recurrence relation using the iteration technique
Q: O Make the program that finds the standard deviation (o) for (1- n) x values by using iteration and…
A: Note- since programming language is not specified we are providing answer in python programming
Q: Bubble sort algorithm running time is? O O(1) O(N^2)
A: Introduction: Here we are given a MCQ type of question, in which we are asked the time complexity of…
Q: Q1: Analyze the following Algorithms. Find their running time and asymptotic notations. Algorithm 1…
A: In this question, we will first create a table with two columns. In the first column, we will write…
Q: U Use the iteration method to solve the recurrence T(n) = 4T(n/2) + n?
A: Here in this question we have asked to solve a recurrance relation using iteration method. T(n) =…
Q: 4- Solving a problem requires running an O(N2) algorithm and then afterwards an O(N algorithm. What…
A: Total cost of solving problem
Q: Sample Solution Q: Operations/Cost Freq. for (int i=1; i<=n; ++i) display (i) c1 n+1 c2 b) T(n) =…
A: To run a code or any piece of program the time required by processor in running the code is…
Q: n2 Example 1 Find O bound for f (n) n %D 2 2
A: Answer: Here is the theta bound condition: c1*g(n)<=f(n)<=c2*g(n) we will apply this condition…
Q: Indicate the run time complexity: for(int i = 1; i < n; i= i*2) y++; O None of the choices O (1) O…
A: Here we have given the time complexity with explanation for the loop
Q: Please type this answer
A: Required: Type the given answer.
Q: Indicate the run time complexity: for(int i = 1; i < n; i = i*2) y++; for(int i = 1; i < n; i = i*2)…
A: if we are using two loops which re not nested then complexity will be O(2n) where 2 will be consider…
Q: Indicate the run time complexity: for (int i = n; i > 1 ; i=i/2) k++; O O(n Ig n) O O(n²) O None of…
A: Runtime complexity is way to describes the performance of an algorithm, or how much more processing…
Q: 4. fun(n) if (n <= 1) return 1 for i=n it=2 f(n-1) + f(n-2) +f (n-3)... i/=n
A: fun(n) if(n<=1) return 1 for(i=1;i<=n;i=i+2) return(f(n-i)+f(n-i-1))
Q: The following function has worst case memory usage proportional to : def posfactorslist(n): Ist [] i…
A: Solution: Given,
Q: Show that T(n) = 0(n°) 3 where T(n) = n?
A: Here in this question we have asked to show that T(n) = O (n^3) Where T(n) = n^2
Q: pöi 30 rite an algorithm to Tina the valu OT * Y from the following (X!), 2(X!) 3(X!) + 4 +... .N…
A: #include<bits/stdc++.h>//header file using namespace std;int main()//main function{ int x;…
Q: 2 T(n) = 3T (n) + 0(1).
A: The given equation is a recurrence relation. This is one way of determining run time of a program.…
Q: code below, r=
A: Q.
Q: Indicate the run time complexity: for (int i = 0; i < 8n; i=i+2) k++; O O(n) O O(4n) O (8n) O O(n lg…
A: In this question, we are going to find out the time complexity of given piece of code. For loop will…
Q: /hat is printed by the algorithm? X = 5 K = 10 SUM = 45 while SUM < 75 do %3D SUM = SUM + K Print K…
A: Here in this question we have given python code segment and we have asked to find the output of this…
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- Write a C++ program: to iteratively compute Fibonacci numbers (named after an Italian mathematician). Some Fibonacci numbers are 1,1,2,3,5,8,... where the next number is found by summing the preceding two numbers. Your program is not assured of recieving good data, thus if -2 is recieved as the number of numbers, then an error should be reported. Try n = 5, 7, 10, -3Write a complete C++ program that reads a positive and non-zero integer then do the following: 1. Print all odd divisors (factors) of that integer in decreasing order. 2. Print the count of all even divisors. 3. Keep dividing the previous number by 2 until that number reaches zero then print how many times the division was executed. • Example: If the number 20 The odd divisor of 20 is 5, 1 in decreasing order The count of all even divisor is 4 The division was executed 10 timesWrite a C++ program that uses the following for loop: for ( int i = 0; i < e; i++ ) { for ( int j = 0; j < f; j++) cout << *(*(b+i) + j ) << “\t”; cout << endl;} To print the following multiplication table: 1 2 3 4 5 6 7 8 92 4 6 8 10 12 14 16 183 6 9 12 15 18 21 24 274 8 12 16 20 24 28 32 365 10 15 20 25 30 35 40 45 In your program, it is given that e = 5 and f = 9.
- Write a c++ program that randomly fills in 0s and 1s into a 4-by-4 square matrix,prints the matrix, and finds the rows, columns, and diagonals with all 0s or 1s. Here is a samplerun of the program: [Hint: use library cstdlib. Even number %2 are always equal to 0 while oddnumbers %2 are always equal to 1](Program) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters, such as zerocount, onecount, twocount, and so forth, to 0. Then generate a large number of pseudorandom integers between 0 and 9. Each time 0 occurs, increment zerocount; when 1 occurs, increment onecount; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of time they occurred.Write a short C++ or Python program to support your answer (for example, show that you checked whether there is no smaller number than your f by trying 128+f/2 == 128.
- Loops question. Write a C program that reads an integer k from the user and then prints the multiples of 1 up to k, the multiples of 2 up to k/2, etc. For k = 10, the printout would be 1,2,3,4,5,6,7,8,9,10, 2,4,6,8,10 3,6,9 4,8 5,10,Consider the recursive procedure which computes the nth Fibonacci number is the one below. procedure Fl (n) //a function which returns the nth Fibonacci number.// if n < 2 then return(n) else return (F2(2,n,1,1)) endif end Fl procedure F2(i,n,x,y) if iWrite a program in java language to find the average of given range of number without using any loop... Range is from 50 to 90 (both are inclusive) .
- Write a program that takes in two positive integer inputs, m and n, and prints out a neatly formatted table of size m * n of all integers between 1 and m in n rows. For example; m = 3, n = 4 1 2 3 1 2 3 1 2 3 1 2 3 Please help me with this problem using c++.In C program We want to emulate that, too! Using a recursive function, make it so that we print the number we are currently in on a new line. When we encounter a number n divisible by 5, we print "YEHEY" and jump 7 steps forward. However when we encounter a number divisible by 8, we print "OHNO" and go back 6 steps. If it is divisible by both, we print "LUCKY" and jump 11 steps. Otherwise just move 1 step. Start at n=1 and continue doing this until you reach a number greater than or equal to the number entered by the user. Instructions: In the code editor, you are provided with a main() function that must ask the user for a number and calls the snake_ladder() function. This snake_ladder() function is a recursive function which should perform the functionality explained in the problem description above. This function is declared but is initially empty. Input 1. Stopping number Description Input the number to which the recursive function must stop Constraints The input is a…In C program We want to emulate that, too! Using a recursive function, make it so that we print the number we are currently in on a new line. When we encounter a number n divisible by 5, we print "YEHEY" and jump 7 steps forward. However when we encounter a number divisible by 8, we print "OHNO" and go back 6 steps. If it is divisible by both, we print "LUCKY" and jump 11 steps. Otherwise just move 1 step. Start at n=1 and continue doing this until you reach a number greater than or equal to the number entered by the user. Instructions: In the code editor, you are provided with a main() function that must ask the user for a number and calls the snake_ladder() function.This snake_ladder() function is a recursive function which should perform the functionality explained in the problem description above.This function is declared but is initially empty.Input 1. Stopping number Description Input the number to which the recursive function must stop Constraints The input is a positive integer…