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 7E
Program Plan Intro
To implement a procedure that reverses a singly linked list of n elements in
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Given two lists sorted in increasing order, create and return a merged list of all the elements in sorted order. You may modify the passed in lists. Ideally, the solution should work in "linear" time, making a single pass through each list.
Write a function to count the number of nodes in a singly linked list. Discuss the approach
and complexity of your solution.
Given the head of a singly linked list of integers, write the function to arrange the elements such thatall the even numbers are placed after all the odd numbers. The relative order of the odd and eventerms should remain unchanged.Input Format:Elements of linked listOutput Format:Resultant linked listSample Input 1:1 4 5 2Sample Output 1:1 5 4 2Sample Input 2:1 11 3 6 8 0 9Sample Output 2:1 11 3 9 6 8 0 in java
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 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_forwardsuppose we are maintaining a collection of C elements such that, each time we add a new element to the collection, we copy the contents of C into a new array list of just the right size. What is the running time of adding n elements to an initially empty collection C in this case?arrow_forwardComputer Science please solve this problem as soon as possible Write a function to insert the element into the linked list the given number X. E.g., for a given set of integers, [2, 4, 12, 6, 5, 3], the linked list is 2->4->12->6->5->3. For a given number, (X=15), the count will be 11 that are (2,4), (2,12), (2,6), (2,5), (2,3), (4,6), (4,5), (4,3), (6,5), (6,3), (5,3).arrow_forward
- To add the two polynomials, we assume that the singly linked lists' nodes are organized in decreasing order of the variable x's exponents.The goal is to generate a new list of nodes reflecting the sum of P1 and P2. This is accomplished by combining the COEFF fields of nodes with comparable powers of variable x in lists P1 and P2, and then adding a new node in the resultant list P1 + P2. The procedure's core is presented below.P1 and P2 are the beginning pointers of the singly linked lists that symbolize polynomials P1 and P2. Furthermore, PTR1 and PTR2 are two temporary pointers that are originally set to P1 and P2, respectively. Procedure code should be written.arrow_forwardWhat are the requirements for determining if a linked list T is empty if T is one of the following: (i) a simple singly linked list, (ii) a headed singly linked list, (iii) a simple circularly linked list, or (iv) a headed circularly linked list?arrow_forwardGiven a singly linked list L, where x and y are two data elements that occupy the nodes NODEX and NODEY with PREVIOUSX as the node, which is the previous node of NODEX, write a pseudo-code to swap the date x and y in list L by manipulating the links only (data swapping is not allowed). Assume that x and y are available in the list and are neither neighbors nor the end nodes of list L. For example, given the list L shown in Figure P6.10(a), with L, NODEX, NODEY and PREVIOUSX marked on it, the swapping should yield the list shown in Figure P6.10(b). NODEX and NODEY are neither immediate neighbors nor the end nodes of list L. PREVIOUS X NODE X PREVIOUS X எக்க்கக்கா எத்த்தக்க (a) Before swapping g and x NODE Y NODE Y (b) After swapping g and x Linked Lists 193 NODE X Figure P6.10. Swapping of elements in a singly linked list by manipulating linksarrow_forward
- Given a singly linked list L, where x and y are two data elements that occupy the nodes NODEX and NODEY with PREVIOUSX as the node, which is the previous node of NODEX, write a pseudo-code to swap the date x and y in list L by manipulating the links only (data swapping is not allowed). Assume that x and y are available in the list and are neither neighbors nor the end nodes of list L. For example, given the list L shown in Figure P6.10(a), with L, NODEX, NODEY and PREVIOUSX marked on it, the swapping should yield the list shown in Figure P6.10(b). NODEX and NODEY are neither immediate neighbors nor the end nodes of list L. PREVIOUS X NODE Y 00 bodo a X С NODE X PREVIOUS X g W (a) Before swapping g and x NODE Y Linked Lists 193 NODE X (b) After swapping g and x addada. Figure P6.10. Swapping of elements in a singly linked list by manipulating linksarrow_forwardwrite a function to print alternate nodes of the given double linked list , first from head to end , and then from end to headarrow_forwardImplement a function to insert a node at the end of a doubly linked list. Explain the steps involved and analyze the time complexity of your implementation.arrow_forward
- In an array-based implementation of a List, why does the add operation take O(n) time in the average case? Select one: a. The time it takes to shift entries over to make room in the array depends on the number of entries in the List b. The time to copy the current entries into a newly allocated, larger array depends on the number of entries in the List c. The time to access the position in the array to add the new entry depends on the number of entries in the List d. The time to access the position in the array to add the new entry depends on the capacity of the arrayarrow_forwardPython program- implement a singly linked list with following functions: - add_head(e) - add_tail(e) - find_3rd_to_last() - returns element located at third-to-last in the list - reverse() - reveres the linked list, note, this is not just printing elements in reverse order, this is actually reversing the listarrow_forwardTo add the two polynomials, assume that the singly linked lists' nodes are sorted in decreasing order of the variable x's exponents.The goal is to generate a new list of nodes representing the sum of P1 and P2. This is accomplished by combining the COEFF fields of nodes with identical powers of variable x in lists P1 and P2, and then creating a new node in the resultant list P1 + P2. The procedure's crux is presented below.P1 and P2 are the start pointers of the singly linked lists that represent polynomials P1 and P2. PTR1 and PTR2 are two temporary pointers that are initially set to P1 and P2, respectively. Make procedural code.arrow_forward
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