Counters a. Consider adding a decrement operation to a binary counter. Provide a counter-example that is a series of n operations of INCREMENT or DECREMENT such the amortized cost per operation is O(k), where k is maximum bit size. b. Consider a ternary counter, a counter that uses the ternary numerical system (base 3). Prove that the operation INCREMENT using the ternary counter has amortized cost of O(1)