Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 10.1, Problem 5E
Program Plan Intro
To write four procedures (
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A drop-out stack is a data structure that acts just like a stack except that if the stack size is n, and the n + 1 element is pushed, the first element is lost. Using an array, create a drop-out stack. (Hint: A circular array implementation would be appropriate.)
Stack stores elements in an ordered list and allows insertions and deletions at one end.
The elements in this stack are stored in an array. If the array is full, the bottom item is dropped from the stack. In practice, this would be equivalent to overwriting that entry in the array. And if top method is called then it should return the element that was entered recently.
True or False? Using an unsorted array to implement a priority queue would allow an O(1) enqueue operation.
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Chapter 10 Solutions
Introduction to Algorithms
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3E
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- Stacks are an important data structure in their own right and they may be implemented in several ways. Implement a stack as an array and i. Write functions to perform the following operations on it. With each operation explain the time complexity associated with it when performeda. Push() b. pop() c. size() d. peek()ii. Briefly explain any two problems when stacks are implemented as an array.arrow_forwardDesign an array based data structure for two stacks called a DualStack The two stacks should share the same array in an efficient manner. If there are MaxSize entries in the array then the IsFull function should only return true if all the entries in the array are occupied. Your operations should all be constant time. Implement Push( ), Pop( ), IsEmpty( ) and IsFull( ) functions.arrow_forward(a) In implementing a Queue using an array, a problem might arise if the Queueis implemented in such a way that items in the Queue are inserted at thenext available location and removed from the next leading position, butsuch that, once deleted, the emptied space is unused. The problem thatarises is one where there is free space still in the array, but it is not usablebecause it is not at the end.Demonstrate this problem with a Queue that is stored in an array of size 5for the following instructions. Next, explain how you might resolve thisproblem.Queue q = new Queue(5); // assume the Queue constructor takes 5 asthe size of the arrayq.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 item2 in the queueq.enqueue(7); // this enqueue cannot occur, why??arrow_forward
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