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Que. An implementation of a queue Q, using two stacks S1 and S2, is given below:

void insert(Q, x) {
   push (S1, x);
void delete(Q){
   if(stack-empty(S2)) then
      if(stack-empty(S1)) then {
          print(“Q is empty”);
      else while (!(stack-empty(S1))){

Let n insert and m (<=n) delete operations be performed in an arbitrary order on an empty queue Q. Let x and y be the number of push and pop operations performed respectively in the process. Which one of the following is true for all m and n?
a. n+m <= x < 2n and 2m <= y <= n+m
b. n+m <= x < 2n and 2m<= y <= 2n
c. 2m <= x < 2n and 2m <= y <= n+m
d. 2m <= x <2n and 2m <= y <= 2n
Answer:n+m <= x < 2n and 2m <= y <= n+m
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