Problems 1. You are given an unlimited number of coins consisting of nickels (5 cents) dimes (10 cents) and quarters (25 cents). Your task is to get 30 cents with as few coins as possible. This problem can be described as search, where the decision in each level of the search tree is what coin to choose next. The first two levels of the search tree are shown below, where a left branch indicates a choice of a nickel (5 cents) a center branch indicates the choice of a dime, and a right branch indicates the choice of a quarter. The number written in each node is the total amount. 25 10 10 30 15 20 35 30 35 50 15 (1). There are two goal nodes in the above tree. Mark them with a circle. (2). There are three leaves in the above tree that need not be expanded any further. Mark them with an X