Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
expand_more
expand_more
format_list_bulleted
Question
Chapter 10.1, Problem 2E
Program Plan Intro
To write a procedure to implement two stacks in one array
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
While all basic operations on stack are O(1), which of the following may have a complexity of O(n)?
Allowing push in an empty array
Allowing push in a full array
Allowing pop from a full array
Allowing pop from an empty array
Discover the stack's performance when let to be itself.
multiple choice:
consider an array based implementation of a stack and its push operation. Beginning with an array of length 1 = (2^0), consider where the array’s length will be doubled whenever an insertion(via the push operation) is attempted when the array is full. What is the amortized complexity of performing a sequence of n push operations.
a) Θ(log n)
b) Θ(n)
c) Θ(n^2)
d) Θ(1)
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
Ch. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3P
Knowledge Booster
Similar questions
- Data Structures and Algorithms is a course that teaches students about data structures and algorithms. Explain why you chose the choice. The worst-case scenario for deletion time complexity in an array-based stack is The letter O (log2 n) O. b. (n) o (1) d. None of the precedingarrow_forwardYou may operate on a stack WORK and a temporary stack TEMP (if necessary) to enable its ADT operations of PUSH (S,X), POP (S, X), and EMPTYSTACK (S), where X represents an element/variable to be pushed into or popped out of the stack and S represents a stack. You may also utilise one variable to carry out the procedures if necessary. I Given n different random integers to be pushed into WORK, how can you determine the maximum element pushed into it while ensuring that the items placed in WORK are in decreasing order, with the maximum element beginning at the bottom of the stack? You may utilise a single variable and the temporary stack TEMP. ii) Given an array A[1: n] of different random numbers, how can you extract the array's sorted list using only stacks?arrow_forwardWhat is the time complexity of pop() operation when the stack is implemented using an array?Lütfen birini seçin:A. O(n)B. O(logn)C. O(nlogn)D. O(1)arrow_forward
- We push all the elements of an array A in order (starting from index 0 of the array A) into a stack. We then pop all the elements from the stack and store them in order (starting from index 0) in A. Which of the following is true after all pop operations complete? O The elements of A are reversed Each element of A is in its original location O The elements of A are in random new locations The array A is empty O None of the abovearrow_forwardS1 and S2 are two sorted stacks of n and m numbers, with the top elements of each stack pointing to the smallest number in their list. To ensure that all of the components in stacks S1 and S2 are available in MERGE in decreasing order, with the largest element at the top, create a stack MERGE that combines the items in stacks S1 and S2.Remember that there are (n + m) components in the stack MERGE.arrow_forwardDiscover the stack's performance when given the freedom to be who it is.arrow_forward
- Consider the following piece of pseudocode: new Stack s PUSH[2, s] for 1 < i <4 do PUSH[2+i, s] end for In an implementation of this stack with arrays, if we start with an array with one element, how many more new, additional arrays in total need to be created?arrow_forwardS1 and S2 are two sorted stacks of n and m numbers sorted in decreasing order, with their top items pointing to the smallest in their lists, respectively. Create a stack MERGE that merges the items in stacks S1 and S2, so that at the conclusion of the merge, all of the elements in S1 and S2 are available in MERGE in decreasing order, with the largest element at the top.Keep in mind that the number of components in stack MERGE is (n + m).arrow_forwardYou may only operate on the stacks WORK and TEMP, supporting their ADT operations of PUSH (S, X), POP (S, X), and EMPTYSTACK (S), where X is an element or variable to be pushed into or popped out of the stack and S denotes the stack itself. If necessary to complete the procedures, you may also utilise one variable.i i) I How can you determine the least element that was put into Work given n different random numbers? You may employ a single variable. ii) Given n distinct random numbers that are to be pushed into WORK, how canyou find the maximum element that was pushed into it, all the while ensuring thatthe elements stored in WORK are in their descending order with the maximumelement beginning at the bottom of stack? You are permitted to use a lone variableand a temporary stack TEMP.arrow_forward
- If you have a stack that contains 3000 integers, and you need to see if it contains the number 5678, what is the worst case scenario in terms of the number of operations you would have to do? You can use a second stack. Count every peek, push, pop and comparison, and assume you need to ensure that the integers in the collection maintain their order in the original stack.arrow_forwardA 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.)arrow_forwardYou may only operate on the stacks WORK and TEMP, supporting their ADT operations of PUSH (S, X), POP (S, X), and EMPTYSTACK (S), where X is an element or variable to be pushed into or popped out of the stack and S denotes the stack itself. If necessary to complete the procedures, you may also utilise one variable. i) How can you determine the least element that was pushed into WORK given n different random integers that are going be placed into it? You are allowed to employ a single variable. ii) How can you determine the maximum element that was put into Work, given n different random integers, while making sure that the items placed in Work are arranged in ascending order, with the maximum element starting at the bottom of the stack? You are allowed to utilise the temporary stack TEMP as well as a single variable. iii) How can you create the sorted list in the array using just stacks given an array A[1: n] of unique random numbers?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
Starting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSON
Digital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSON
Database Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage Learning
Programmable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education