samplefinal-sol - COP 3502 Computer Science I Final Exam...

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COP 3502 - Computer Science I Final Exam FALL 2002 Lecturer : Nihan Cicekli Name: ______________________ 12/9/02 1) (10 pts) Consider the following recursive function that computes Ackermann’s function for two nonnegative integers m and n : int ackermann(int m, int n){ if (m == 0) return n + 1; else if (n == 0) return ackermann(m-1,1); else return ackermann(m-1, ackermann(m,n-1)); } Indicate the result of each of the following calls to this function: a) ackermann(1,1). Answer: ____3__ b) ackermann(2,1). Answer: ______5_____ 1
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2) Answer the following questions about binary numbers. a) (3 pts.) What is the decimal representation of the binary number 101110? Answer: ___46________ b) (3 pts.) What is the binary representation of the decimal number 254? Answer:___11111110________ 3) (4 pts.) Calculate the following summation: (2i + 2) Answer:__462____ 4) (10 pts.) Given the following preorder and inorder traversals of a binary tree, draw the tree. Preorder: A B C D E F G H I J Inorder: D C E F B A G I H J A / \ B G / \ C H / \ / \ D E I J \ F 2 20 i =0
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5) (15 pts.) Suppose you’re given a queue that is known to contain only positive integers. Use only the fundamental queue operations (i.e. enqueue(), dequeue(), etc.) to write a code that replaces all occurrences of the positive integer num in the queue with the positive integer new . Other than doing this, the queue is to remain unchanged. Use the following declarations and function prototypes: struct queueNode{ int data; struct queueNode * next; }; struct queue{ struct queueNode *front; struct queueNode *rear; };
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