Analyze the following algorithm. Find their running time and asymptomatic notation.
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Q: Explain this algorithm
A: Lets see the solution.
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A: Answer
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- A game is played by moving a marker ahead either 2 or 3 steps on a linear path. Let cn be the number of different ways a path of length n can be covered. Given, Cn =Cn-2 + Cn-3, Ci=0, c2=1, c3=1 Write a recursive algorithm to compute Cn.Given a positive integer 'n', find and return the minimum number of steps that 'n' has to take to get reduced to 1. You can perform any one of the following 3 steps:1.) Subtract 1 from it. (n = n - 1) ,2.) If its divisible by 2, divide by 2.( if n % 2 == 0, then n = n / 2 ) ,3.) If its divisible by 3, divide by 3. (if n % 3 == 0, then n = n / 3 ). Write brute-force recursive solution for this.Input format :The first and the only line of input contains an integer value, 'n'.Output format :Print the minimum number of steps.Constraints :1 <= n <= 200 Time Limit: 1 secSample Input 1 :4Sample Output 1 :2 Explanation of Sample Output 1 :For n = 4Step 1 : n = 4 / 2 = 2Step 2 : n = 2 / 2 = 1 Sample Input 2 :7Sample Output 2 :3Explanation of Sample Output 2 :For n = 7Step 1 : n = 7 - 1 = 6Step 2 : n = 6 / 3 = 2 Step 3 : n = 2 / 2 = 1 SolutionDp///.Implement a recursive algorithm to find factorial of n. Implement a recursive algorithm to find the n-th Fibonacci number. Print all the elements of a given array recursively. Given base and n that are both 1 or more, compute recursively (no loops) the value of base to the n power, so powerN(3, 2) is 9 (3 squared). powerN(3, 1) → 3 powerN(3, 2) → 9 powerN(3, 3) → 27 please do not use any built-in function and complete this task using python 3.Do not copy-paste from other sources.
- Using recursion, write a Java program that takes an input ‘n’ (a number) from a user to calculate and print out the Fibonacci using the following modified definition: F(N) = 1 if n = 1 or n = 2 = F((n+1)/2)2 + F((n-1/2)2 if n is odd = F(n/2 + 1)2 – F(n/2 – 1)2 if n is even Your solution must implement recursion to receive points for this question.Draw the recursion trace for the following algorithm, which is written in a pseudocode style: method6(int x, int y) { // returns integer if y=0, then return 1; else { int w = method6(x, y/3); // y/3 is integer division int z = w * x; if y is even, then z = z * 2 + 1; y = y + 1; end of if return z } // end of elsePLEAE DO NOT COPY AND PASTE FROM OTHER SOURCES. ORIGINAL SOLUTIONS ONLY PLEASE. NO CODE JUST PSUDOCODE?EXPLANASTION DISCETE MATH For this computer algorithms problem, you are given an N amount of cents, Then you are being asked to break the cents up into smaller coins of either 1,2 or 5 cents. IN PSUDOCODE Not real COde, you must construct a dynamic-programming-based recursive algorithm returning the smallest amount of coins needed to solve the problem. IN example if you get N=15 then in return you would get A(15) returns 3 because 5 + 5 + 5 = 15.
- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Ridbit begins with an integer n. In one action, he can perform one of the accompanying tasks: partition n by one of its appropriate divisors, or take away 1 from n in case n is more prominent than 1. An appropriate divisor is a divisor of a number, barring itself. For instance, 1, 2, 4, 5, and 10 are appropriate divisors of 20, however 20 itself isn't. What is the base number of moves Ridbit is needed to make to decrease n to 1? Input The principal line contains a solitary integer t (1≤t≤1000) — the number of experiments. The main line of each experiment contains a solitary integer n (1≤n≤109). Output For each experiment, output the base number of moves needed to lessen n to 1.calculate number of operations in this algorithm void my_dgemv(int n, double* A, double* x, double* y) { double alpha=1.0, beta=1.0; int lda=n, incx=1, incy=1; cblas_dgemv(CblasRowMajor, CblasNoTrans, n, n, alpha, A, lda, x, incx, beta, y, incy); }Write the pseudocode for a recursive algorithm to compute b3k, where b is a real number and k is a positive integer. Use the fact that b3k+1=(b3k)3.
- Given base and n that are both 1 or more, compute recursively (no loops) the value of baseto the n power, so powerN(3, 2) is 9 (3 squared).powerN(3, 1) → 3powerN(3, 2) → 9powerN(3, 3) → 27Write code in Java or Python for this problemRECURSIVE PYTHON The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the fibonacci() function, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1. Ex: If the input is: 7 the output is: fibonacci(7) is 13 Note: Use recursion and DO NOT use any loops. # TODO: Write recursive fibonacci() functiondef fibonacci(): if __name__ == "__main__": start_num = int(input()) print('fibonacci({}) is {}'.format(start_num, fibonacci(start_num)))PLEAE DO NOT COPY AND PASTE FROM OTHER SOURCES. The other answers I received were not good/incomplete ORIGINAL SOLUTIONS ONLY PLEASE. NO CODE TUST PSUDOCODE? EXPLANATION DISCETE MATH For this computer algorithms problem, you are given an N amount of cents, Then you are being asked to break the cents up into smaller coins of either 1,2 or 5 cents. IN PSUDOCODE Not real COde, you must construct a dynamic- programming-based recursive algorithm returning the smallest amount of coins needed to solve the problem. IN example if you get N=15 then in return you would get A(15) returns 3 because 5 + 5 + 5 = 15.