Write Menu Driven C++ program that creates one-dimensional array arr[] and initialize it with user of size 15. The program should do following Tasks using Menu, The menu operations are implemented using functions: (7X5=35 marks)

a) Write function count(), that counts the occurrences of x (a number) in arr[].

b) Write function partition (), that take the first element of the array x and put x in a position such that all smaller elements (smaller than x) are before x, and put all greater elements (greater than x) after x.

c) Write function next_XOR(),the count of elements which are equal to the XOR of the next two elements in an array.

d) Write a function duplicates(),which calculated the frequencies of all the elements and display them.

e) Write function circular(),which replace every element of the array by the sum of next two consecutive elements in a circular manner i.e. arr[0] = arr[1] + arr[2], arr[1] = arr[2] + arr[3], ... arr[n - 1] = arr[0] + arr[1].

f) Write function Search(), takes an array and element to search in the array and returns the index of element if the element is found. And return the negative number if not found.

g) Write function shift_circular (), which shifts an array circularly left by two positions. Thus, if p[0] = 15, p[1]= 30, p[2] = 28, p[3]= 19 and p[4] = 61 then after the shift p[0] = 28, p[1] = 19, p[2] = 61, p[3] = 15 and p[4] = 30.