ate and execute a program to find the greatest common factor of two positive integers using Euclid's method. The largest common divisor is the highest integer that divides both numbers without leaving a remainder. In the DivisorCalc class, define a static method called gcd that accepts two numbers, num1 and num2. Create a driver to put your program through its tests. The repeated procedure is as follows: gcd (num1, num2) is num2 if num2 <= num1 and num2 evenly divides num1 gcd (num1, num2) is gcd(n

ate and execute a program to find the greatest common factor of two positive integers using Euclid's method. The largest common divisor is the highest integer that divides both numbers without leaving a remainder. In the DivisorCalc class, define a static method called gcd that accepts two numbers, num1 and num2. Create a driver to put your program through its tests. The repeated procedure is as follows: gcd (num1, num2) is num2 if num2 <= num1 and num2 evenly divides num1 gcd (num1, num2) is gcd(n

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 22PE

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The greatest common divisor of two positive integers, A and B, is the largest number that can be evenly divided into both of them. Euclid’s algorithm can be used to find the greatest common divisor (GCD) of two positive integers. You can use this algorithm in the following manner: Compute the remainder of dividing the larger number by the smaller number. Replace the larger number with the smaller number and the smaller number with the remainder. Repeat this process until the smaller number is zero. The larger number at this point is the GCD of A and B. Write a program that lets the user enter two integers and then prints each step in the process of using the Euclidean algorithm to find their GCD. An example of the program input and output is shown below: Enter the smaller number: 5 Enter the larger number: 15 The greatest common divisor is 5
Euclid’s algorithm (or the Euclidean algorithm) is an algorithm that computes thegreatest common divisor, denoted by gcd, of two integers. Below are the original versions ofEuclid’s algorithm that uses repeated subtraction and another one that uses the remainder.int gcd_sub(int a, int b){ if (!a) return b; while (b) if (a > b) a = a – b; else b = b – a; return a;}int gcd_rem(int a, int b){ int t; while (b) { t = b; b = a % b; a = t; } return a;}1. Trace each of the above algorithm using specific values for a and b.2. Compare both algorithms.
The Sudoku game is played on a 9x9 grid. Inside the rows and columns are 9 "squares" (made up of 3x3 spaces). Each row, column and square (9 spaces each) must be completed with the numbers from 1 to 9, without repeating any number within the row, column or square. The following Python program solves Sudoku using backtracking. The method that starts the solution is "solve_sudoku(matrix)" and receives as input an n x n matrix where the empty inputs are represented by -1. From the program, analyze its execution time. from pprint import pprint def search_next_void(puzzle): for r in range(9): for c in range(9): if puzzle[r][c] == -1: return r, c return None, None def is_valid(puzzle, guess, row, col): row_vals = puzzle[row] if guess in row_vals: return False col_vars = [puzzle[i][col] for i in range(9)] if guess in col_vars: return False row_start = (row // 3) * 3 col_start = (col // 3) * 3 for r in…
The Sudoku game is played on a 9x9 grid. Inside the rows and columns are 9 "squares" (made up of 3x3 spaces). Each row, column and square (9 spaces each) must be completed with the numbers from 1 to 9, without repeating any number within the row, column or square. The following Python program solves Sudoku using backtracking. The method that starts the solution is "solve_sudoku(matrix)" and receives as input an n x n matrix where the empty inputs are represented by -1. Indicate where the backtracking occurs (line of code) and why. Show with an example a 3 x 3 matrix. from pprint import pprint def search_next_void(puzzle): for r in range(9): for c in range(9): if puzzle[r][c] == -1: return r, c return None, None def is_valid(puzzle, guess, row, col): row_vals = puzzle[row] if guess in row_vals: return False col_vars = [puzzle[i][col] for i in range(9)] if guess in col_vars: return False row_start = (row // 3)…
The Sudoku game is played on a 9x9 grid. Inside the rows and columns are 9 "squares" (made up of 3x3 spaces). Each row, column and square (9 spaces each) must be completed with the numbers from 1 to 9, without repeating any number within the row, column or square. The following Python program solves Sudoku using backtracking. The method that starts the solution is "solve_sudoku(matrix)" and receives as input an n x n matrix where the empty inputs are represented by -1. From the program, analyze its execution time in the best and worst case. from pprint import pprint def search_next_void(puzzle): for r in range(9): for c in range(9):if puzzle[r][c] == -1: return r, c return None, None def is_valid(puzzle, guess, row, col): row_vals = puzzle[row] if guess in row_vals: return False col_vars = [puzzle[i][col] for i in range(9)] if guess in col_vars: return False row_start = (row // 3) * 3 col_start = (col // 3) * 3 for r in range(row_start, row_start + 3):for c in range(col_start,…
Blackout Math is a math puzzle in which you are given an incorrect arithmetic equation. The goal of the puzzle is to remove two of the digits and/or operators in the equation so that the resulting equation is correct. For example, given the equation 6 - 5 = 15 ^ 4/2 we can remove the digit 5 and the / operator from the right-hand side in order to obtain the correct equality 6 - 5 = 1 ^ 42. Both sides of the equation now equal to 1. Observe how removing an operator between two numbers (4 and 2) causes the digits of the numbers to be concatenated (42). Here is a more complicated example: 288 / 24 x 6 = 18 x 13 x 8 We can remove digits and operators from either side of the equals sign (either both from one side, or one on each side). In this case, we can remove the 2 from the number 24 on the left-hand side and the 1 from the number 13 on the right-hand side to obtain the correct equality 288 / 4 x 6 = 18 x 3 x 8 Both sides of the equation now equal to 432. Here is another puzzle for you…
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); }
Correct answer will be upvoted else downvoted. Computer science. You are given an integer n. Check if n has an odd divisor, more noteworthy than one (does there exist such a number x (x>1) that n is separable by x and x is odd). For instance, assuming n=6, there is x=3. Assuming n=4, such a number doesn't exist. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow. Each experiment contains one integer n (2≤n≤1014). If it's not too much trouble, note, that the input for some experiments will not squeeze into 32-cycle integer type, so you should use no less than 64-digit integer type in your programming language. Output For each experiment, output on a different line: "Indeed" if n has an odd divisor, more noteworthy than one; "NO" in any case. You can output "YES" and "NO" regardless (for instance, the strings yEs, indeed, Yes and YES will be perceived as certain).
Blackout Math is a math puzzle in which you are given an incorrect arithmetic equation. The goal of the puzzle is to remove two of the digits and/or operators in the equation so that the resulting equation is correct. For example, given the equation 6 - 5 = 15 ^ 4/2we can remove the digit 5 and the / operator from the right-hand side in order to obtain the correct equality 6 - 5 = 1 ^ 42. Both sides of the equation now equal to 1. Observe how removing an operator between two numbers (4 and 2) causes the digits of the numbers to be concatenated (42). Here is a more complicated example: 288 / 24 x 6 = 18 x 13 x 8 We can remove digits and operators from either side of the equals sign (either both from one side, or one on each side). In this case, we can remove the 2 from the number 24 on the left-hand side and the 1 from the number 13 on the right-hand side to obtain the correct equality 288 / 4 x 6 = 18 x 3 x 8 Both sides of the equation now equal to 432. Here is another puzzle for you…
The SRC of AIT is trying to find out the eligibility of voters in the school for an upcoming election. On a trial bases you are tasked to come out with a program that request for: i. A student’s program of study ii. Students Year of Admission iii. A student should be eligible to vote if he/she has a valid student ID and the admission year should be between 2019 and 2021. Write an algorithm for this program
IN STO a IN STO b test LDA a SUB b BRP count LDA c OUT LDA d OUT HLT count STO a LDA c ADD one STO c LDA d SUB b STO d BR test a DAT b DAT c DAT 0 one DAT 1 d DAT 0 Using this LMC program to solve a÷b=cRd where a = 20 b = 4 what is c and remainder d. IF a = 20 b = 4 c should be 5 and d should be 0. IS there reason to why i keep getting the remainder as 980
Give the sequence of values of p and q that are computed when Euclid’s algorithm is used to compute the greatest common divisor of 105 and 24. Extend the codegiven on page 4 to develop a program Euclid that takes two integers from the commandline and computes their greatest common divisor, printing out the two arguments foreach call on the recursive method. Use your program to compute the greatest commondivisor or 1111111 and 1234567.