Challenge: Assume a Function G(x) Is Defined as Follows Where

question 31

Essay

Challenge: Assume a function g(x) is defined as follows where x is an int parameter:
g(x) = g(x - 1) * g (x - 3) if x is even and x > 3
= g(x - 2) if x is odd and x > 3
= x otherwise
Write a recursive method to compute
g. In implementing a queue using an array, a problem might arise if the queue is implemented in such a way that items in the queue are inserted at the next available location and removed from the next leading position, but such that, once deleted, the emptied space is unused. The problem that arises is one where there is free space still in the array, but it is not usable because it is not at the end. Demonstrate this problem with a queue that is stored in an array of size 5 for the following instructions. Next, explain how you might resolve this problem.
Queue q = new Queue(5); // assume the Queue constructor
takes 5 as the size of the array
q.enqueue(3);
q.enqueue(4);
q.enqueue(1);
q.dequeue();
q.dequeue();
q.enqueue(6);
q.enqueue(5);
q.dequeue(); // at this point, there are only 2 items
in the queue
q.enqueue(7); // this enqueue can not occur, why??

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