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 10.2, Problem 2E
Program Plan Intro
Program Plan:To implement stack using linked list.
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Implement a function void copyStack(StackSLL<T>& s1, StackSLL<T>& s2) thatcopies elements from stack s1 to stack s2 without using any additional stacksor arrays.Example input: S1: [3,4,5,6]. Output: S2: [3,4,5,6]
13. If a stack is implemented under a Single-
LinkedList, how much time does a stack pop an item out
and maintain the top information?
а. О(1)
b. O(n)
с. 0(n?)
d. 0(log n)
Let S be a stack with the following elements, 6,13,15,17,35,45,20,55. Implement the stack using an Array and Linked-list
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
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- The school cafeteria offers circular and square sandwiches at lunch break, referred to by numbers 0 and 1 respectively. All students stand in a queue. Each student either prefers square or circular sandwiches. The number of sandwiches in the cafeteria is equal to the number of students. You are given two integer arrays students and sandwiches where sandwiches[i] is the type of the ith sandwich in the stack (i = 0 is the top of the stack) and students[j] is the preference of the jth student in the initial queue (j = 0 is the front of the queue). Part 1: Modify the code given and make it more efficient. You can try to implement your own stack or your own Queue. Or you can use the sandwiches array as a stack without making a separate Stack class. Same with the students array. Part 2: After modifying the code, explain how it works, and why it is more efficient than the solution that you started with. (Or, if it turns out that the change you made is not more efficient, try to…arrow_forwardAdd remain code and explanation of whole code. Given a stack, a function is_consecutive takes a stack as a parameter and thatreturns whether or not the stack contains a sequence of consecutive integersstarting from the bottom of the stack (returning true if it does, returningfalse if it does not). For example:bottom [3, 4, 5, 6, 7] topThen the call of is_consecutive(s) should return true.bottom [3, 4, 6, 7] topThen the call of is_consecutive(s) should return false.bottom [3, 2, 1] topThe function should return false due to reverse order. Note: There are 2 solutions:first_is_consecutive: it uses a single stack as auxiliary storagesecond_is_consecutive: it uses a single queue as auxiliary storage"""import collections def first_is_consecutive(stack): storage_stack = [] for i in range(len(stack)): first_value = stack.pop() if len(stack) == 0: # Case odd number of values in stack return True second_value = stack.pop() if first_value -…arrow_forwardWhat is the time complexity for efficiently removing m items from a stack with n size that is implemented as a linked list (m < n)?arrow_forward
- takes as input a string (array of characters) and, returns as output the mirror view of the string. That is, if the input is "ABCD", the output is "DCBA". For this, you can read the string character by character and push it to a stack. When you finish reading the whole string, the reverse of the string can be achieved by simply popping element by element from the stack and adding the popped elements to a new string that is returned.arrow_forwardPython: Write a function to get Nth node in a Linked List Example: Input: 10 -> 40 -> 30 -> 80 -> 90, index = 2Output: 30 The node at index 2 is 30arrow_forwarda. Write the recursive method for adding a node in a linked list. b. Consider the infix expression 15 + 2 – 10 / 2 ∗ 2 and convert this into postfix expression using stack. Next Token Action Effect on operatorStack Effect on postfix 15 + 2 - 10 / 2 * 2arrow_forward
- The special case(s) when deleting a node in a linked list is/are: а. The list is empty. O b. All c. The node to be deleted is the first node. O d. There is only one node in the list.arrow_forwardWrite a program to enter a natural number n and find all sphenic numbers from 1 to n using Linked List ADT with necessary functions and Linked List principle. Note: The size of stack is a constant (size = 3) and to use Stack ADT, there should be three steps:Step 1. Find and push every prime numbers that constitute a specific sphenic number in the stack.Step 2. Pop out all numbers found in the stack and calculate the product of these 3 prime numbers.Step 3. Display the result in the stack.arrow_forwardCreate two singly linked lists A and B to represents elements in the following set A and B respectively. 3. A = { 5, 6, 8, 9, 10, 11} B = { 1, 6, 2, 9, 3, 11, 4} Develop an algorithm and implement the same to represent only intersection of two lists A and B and print the same.arrow_forward
- Write a program that inserts the following numbers into two (2) empty doubly linked list.L1 50 30 25 75 82 28 77L2 50 40 25 75 80 21 37 30Hint: Put the median at the first element of linked list for both linked list and after insertingmedian element at the first node, do not pass that element again. Median Formula: (n+1)/2a) Implement an insert function for both L1 and L2.b) Implement a function to delete 80 from L2.c) Implement a function to check L1 and L2 are really the same list of nodes or not.Note: You are not allowed to use any built-in Data Structure classes to implement abovescenario.arrow_forwardProb 2 Given a list of x objects, create a program that performs the following operation: -Get the first and last object and place them both at the start of the list. Example: QWERT becomes QTWER Find the worst case time complexity if the solution will be implemented using a single linked list. Give both the EQUATION AND THE BIG-O NOTATION.arrow_forwardWrite a java program class for a singly linked list with Insertion from head, tail and middlearrow_forward
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