Alice has three array-based stacks, a,b, and c , such that a has capacity100, 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 functions private. the only function alice can use is a static function, transfer (s, t ), which transfers (by iteratively applying the private pop and push functions) elements from stack s to stack t until either s becomes empty or t becomes full. so, for example, starting from our initial con?