How n queue can be implemented using two stacks

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Reference no: EM133259620

Question: Remember how n queue can be implemented using two stacks s1 and s2 where we queue an item by pushing the item onto S1 and dequeue an item by popping from S2 if it is not empty, else first we move all items from S1 to S2 by popping items from S1 and pushing them onto S2.

Consider a sequence of 2 types of operations for this queue Implementation : ENQUEUE, MULTI- DEQUEUE(k) where MULTI-DEQUEUE(k) remover min(k, size(Q)) elements from the queue where k > 1.

using the potential function method, show that each of the operations has amortized complexly O(1).

hint: Use potential function phi as 3|s1| + |S2| where |s1| and |S2| are sizes of the two stacks. Need answer tipe format only

Reference no: EM133259620

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