The maxInt function takes a list of numbers, and returns its maximum element. For example, (maxInt (7 3 6 2)) should return 7. If the input list is empty, then it should return 0. Write the maxInt function in Scheme in two steps:

(a) (2 points) Write a maxInt helper function; it takes a number k and a list of numbers, x, as arguments, and returns the number which is the largest among k and numbers in x. For example, (maxInt helper 5 (4 5 6)) should return 6.

(b) (2 points) Write the maxInt function based on maxInt helper.