Draw a flowchart for a program that reads two integer positive numbers and then determines whether these two numbers are relatively prime or not. Note: Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Justin receives 52 weekly paychecks per year. Each week, he contributes a specific percentage of his gross weekly pay to his retirement plan at work. His employer also contributes to his retirement plan, but at a different rate. Justin wants a program that calculates and displays the total annual contribution made to his retirement plan by him and his employer. Desk-check your solution’s algorithm using $640 as the gross weekly pay, 6% as Justin’s contribution rate, and 4% as the employer’s contribution rate. Then desk-check it using your own set of data.

Practicing Loops. Einstein Private Elementary school has three classes in each of its 9 grades. 27 classes in total.  It has kindergarten (grade 0) though 8th grade.   The school allows parents to pay tuition over the nine-month school year.  Tuition for kindergarten is $90 dollars every month.  Tuition for the other grades is $50 times the grade level every month.  (1st grade is $50 a month, second grade is $100 a month, etc.) Design a programming solution that outputs nine tuition payment bills for each of the 27 classrooms.  Each bill must contain the grade number (0 through 8), the classroom number (1 through 3), the month (1 through 9) and the amount of the tuition due. Your output should look something like: Grade Classroom Month Tuition   0             1               1        90   0             1               2        90   0             1               3        90   0             1               4        90   ...   8             3               7      400   8             3…

A complex number is a number in the form a+bi, where a and b are real numbers and i is √(-1)   The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:   a + bi   +   c + di  =  (a+c) + (b+d)i    (addition) a + bi   −  (c + di) = (a−c) + (b−d)i   (subtraction) (a + bi) * (c + di) = (ac−bd) + (bc+ad)i   (multiplication) (a + bi) / (c + di)  = (ac+bd) / (c2+d2) + (bc−ad)i / (c2+d2)   (division)   You can obtain the Absolute Value for a complex number using the following formula: |a + bi|  =  √(a2 + b2)   A Complex number can be interpreted as a point on a plane by identifying the (a,b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in the example below.   (1) Design a class named Complex for representing complex numbers Include…

A palindrome is a word, phrase, number, or other sequence of characters that reads the same forward and backward, disregarding spaces, punctuation, and capitalization. Write a function isPalindrome that takes in a string s and returns a boolean value indicating whether s is a palindrome. Example: Input: s = "racecar" Output: true Input: s = "Hello" Output: false Input: s = "A man, a plan, a canal, Panama" Output: true Input: s = "12321" Output: true Note: The input string may contain spaces, punctuation, and capitalization, but they should be disregarded while checking for palindromes. An empty string is considered a palindrome.

Description A mathmatician Goldbach's conjecture: any even number(larger than 2) can divide into two prime number’s sum.But some even numbers can divide into many pairs of two prime numbers’ sum. Example:10 =3+7, 10=5+5, 10 can divide into two pairs of two prime number. Input Input consist a positive even number n(4<=n<=32766).   Output Print the value of how many pairs are this even number can be divided into.   Sample Input 1  1234 Sample Output 1 25