Write a method counts that accepts a List of integers and a Set of integers as parameters, and returns a map from each value in the set to the number of occurrences of that value in the list. For example, if your method is passed the following list and set as parameters: list: [4, -2, 3, 9, 4, 17, 5, 29, 14, 87, 4, -2, 100] set: [-2, 4, 29] Then your method should return the map {-2

Function name: poly parameters: int returns: int description: a polynomial of degree n with coefficients a0,a1,a2,a3, . . ,an is the function p(x) = a0+a1x+a2x2+a3 ∗ x3+ . . +an ∗ xn this function can be evaluated at different values of x. for example, if: p(x) = 1+2x+ x2, then p(2) = 1+2 ∗ 2+22 = 9. if p(x) = 1+x2+x4, then p(2) = 21 and p(3) = 91. write a function poly() that takes as input a list of coefficients a0, a1, a2, a3, . . , an of a polynomial p(x) and a value x. the function will return poly(x), which is the value of the polynomial when evaluated at x.