Alice has three array-based stacks, a, b, and c, such that a has capacity 100, b has capacity 5, and c has capacity 3. initially, a is full, and b and c are empty. unfortunately, the person who programmed the class for these stacks made the push and pop methods private. the only method alice can use is a static method, transfer(s, t), which transfers (by itera-tively applying the private pop and push methods) elements from stack s to stack t until either s becomes empty or t becomes full. so, for example, starting from our initial configuration and performing transfer(a, c) results in a now holding 97 elements and c holding 3. describe a sequence of transfer operations that starts