Let A = {k, {k, z}), {k}, {p}, z}. 1. JA| = 2. Which of the following statements are true? There may be more than one correct answer OA. {p} E A B. z E A C. {z} E A OD. k E A DE. Ø E A OF. (k, z} E A OG. (k} E A OH.p E A 3. Which of the following statements are true? There may be more than one correct answer. OA. (z} CA OB. z CA OC. (k} CA OD. (k, z} CA OE. p CA OF. (p} CA OG. k CA OH.ØCA

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

Write a recursive function that takes as a parameter a nonnegative integer    and generates the following pattern of stars. If the nonnegative integer is 4,    the pattern generated is as follows:        ****    ***    **    *    *    **    ***    ****        Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For    example, specifying 4 as the number of lines generates the preceding pattern.