Algorithm 8: Computing the power of a number Input:r, is a real number a E R, n is an integer number, n e Z Output: a" 1: р+1 2: for i +1 ton do 3: p px x 4: end for 5. return n
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Calculate the total number of primitive operations executed for the following
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- Write as a simple algorithm: log (2x) + log (5x)Simplistic Algorithms with a Fixed Number of Integers (with C++) Write a program that takes three integers and outputs them in reverse order of how they were entered. For example, if the user enters 39, 51, 16 then the program should output 16, 51, 39.The following is an addition problem in binary notation. Each letter represents a unique binary digit. Which letter represents 1 and which represents 0? Design an algorithm for solving problems like this. YXX+ XYX=XYYY
- i = 0, j = 0 For(a = 0; a*a < n; a++){ For(b = 0; b < n; b *= 2){ For(c = 0; c*c < n; c++){ i += i j = j*2 } } } What is the time complexity for the code? (a) O(n−−√∗n∗n) (b) O(n−−√∗logn∗n−−√) (c) O(n∗logn) (d) O(n2.5) (e) O(n)Simplistic Algorithms with a Fixed Number of Integers Write a program that takes three integers and outputs them in reverse order of how they were entered. For example, if the user enters 39, 51, 16 then the program should output 16, 51, 39.Computer Science Consider the following simple algorithm: Algorithm SimpleSum(n) //Input: A positive integer n //Output: ? result = 0 for i = 1 to n do result = result + n; end for return result What is the final result? What is the range for the number of additions (result + n) performed overall? Answer ASAP..
- choose any number as n, output all n-digit binary numbers which have equal total in right and left halves. mid element can either be 1 or 0 IF n is odd. 1. Explain where does the recursion happened? 2. Solve using the programming languages and test. Input : n=4 output: 0000 0101 0110 1001 1010 1111Write a program to enter a natural number n and find all sphenic numbers from 1to n. Calculate the complexity of your program.Note: A sphenic number is a product of p*q*r where p, q, and r are three distinctprime numbers. Example: 30 = 2 * 3* 5; 42 = 2*3*7; 66 = 2*3*11q11) Find the time complexity for the program code and represent it in Big O notation. int p=3, q=5, r; for(int i=0;i<n;i++) { r= p * q * i; q++; } cout<<r; a. 1 b. O(log n) c. O( n ) d. O(n2)
- 2. Design an algorithm for computing n! (where n is any positive integer).An n-bit Gray code is a list of the 2n different n-bit binary numbers such that each entry in the list differs in precisely one bit from its predecessor. The n bit binary reflected Gray code is defined recursively. How does algorithm works for n=5, describe step-by-step. Write Java code, compile and run programT. 1011: 100110 x 1011 100110 (10011011) 100110 (10011012) 000000 (10011004, but we skip this step in the algorithm) (10011018) 100110 110100010.
