Question: 3. (40 points) Show how to implement a queue using two stacks with the following primitives of the stack abstract data type: EMPTY (S), STACK

3. (40 points) Show how to implement a queue using two stacks with the following primitives of the stack abstract data type: EMPTY (S), STACK TOP (S), PUSH(S, element), and POP (S)? Assuming 0(1) time complexity for all these primitives, what is the run-time complexity of each of the following queue operations: EMPTY (Q), ENQUEUECQ, element), DEQUEUEQ, FRONTCQ) REAR). (Note: Not all queue operations can be performed in 0(1) time complexity.)
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