给定两个按递增顺序排序的链表。以结果列表按降序(逆序)的方式合并它们。
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例如:
Input: a: 5->10->15->40 b: 2->3->20 Output: res: 40->20->15->10->5->3->2Input: a: NULL b: 2->3->20 Output: res: 20->3->2
A. 简单解决方案 就是做以下事情。 1) 反转第一个列表“a” . 2) 倒转第二个列表“b” . 3) 合并两个反向列表 . 另一个简单的解决方案是首先合并两个列表,然后反转合并的列表。 上述两种解决方案都需要两次遍历链表。
如何解决没有反向,O(1)辅助空间(到位)和两个列表只有一次遍历? 这个想法是遵循合并风格的流程。将结果列表初始化为空。从头到尾遍历两个列表。比较两个列表的当前节点,并在结果列表的开头插入两个较小的节点。
1) Initialize result list as empty: res = NULL.2) Let 'a' and 'b' be heads first and second lists respectively.3) While (a != NULL and b != NULL) a) Find the smaller of two (Current 'a' and 'b') b) Insert the smaller value node at the front of result. c) Move ahead in the list of smaller node. 4) If 'b' becomes NULL before 'a', insert all nodes of 'a' into result list at the beginning.5) If 'a' becomes NULL before 'b', insert all nodes of 'a' into result list at the beginning.
下面是上述解决方案的实现。
C++14
/* Given two sorted non-empty linked lists. Merge them in such a way that the result list will be in reverse order. Reversing of linked list is not allowed. Also, extra space should be O(1) */ #include<iostream> using namespace std; /* Link list Node */ struct Node { int key; struct Node* next; }; // Given two non-empty linked lists 'a' and 'b' Node* SortedMerge(Node *a, Node *b) { // If both lists are empty if (a==NULL && b==NULL) return NULL; // Initialize head of resultant list Node *res = NULL; // Traverse both lists while both of then // have nodes. while (a != NULL && b != NULL) { // If a's current value is smaller or equal to // b's current value. if (a->key <= b->key) { // Store next of current Node in first list Node *temp = a->next; // Add 'a' at the front of resultant list a->next = res; res = a; // Move ahead in first list a = temp; } // If a's value is greater. Below steps are similar // to above (Only 'a' is replaced with 'b') else { Node *temp = b->next; b->next = res; res = b; b = temp; } } // If second list reached end, but first list has // nodes. Add remaining nodes of first list at the // front of result list while (a != NULL) { Node *temp = a->next; a->next = res; res = a; a = temp; } // If first list reached end, but second list has // node. Add remaining nodes of first list at the // front of result list while (b != NULL) { Node *temp = b->next; b->next = res; res = b; b = temp; } return res; } /* Function to print Nodes in a given linked list */ void printList( struct Node *Node) { while (Node!=NULL) { cout << Node->key << " " ; Node = Node->next; } } /* Utility function to create a new node with given key */ Node *newNode( int key) { Node *temp = new Node; temp->key = key; temp->next = NULL; return temp; } /* Driver program to test above functions*/ int main() { /* Start with the empty list */ struct Node* res = NULL; /* Let us create two sorted linked lists to test the above functions. Created lists shall be a: 5->10->15 b: 2->3->20 */ Node *a = newNode(5); a->next = newNode(10); a->next->next = newNode(15); Node *b = newNode(2); b->next = newNode(3); b->next->next = newNode(20); cout << "List A before merge: " ; printList(a); cout << "List B before merge: " ; printList(b); /* merge 2 increasing order LLs in decreasing order */ res = SortedMerge(a, b); cout << "Merged Linked List is: " ; printList(res); return 0; } |
JAVA
// Java program to merge two sorted linked list such that merged // list is in reverse order // Linked List Class class LinkedList { Node head; // head of list static Node a, b; /* Node Class */ static class Node { int data; Node next; // Constructor to create a new node Node( int d) { data = d; next = null ; } } void printlist(Node node) { while (node != null ) { System.out.print(node.data + " " ); node = node.next; } } Node sortedmerge(Node node1, Node node2) { // if both the nodes are null if (node1 == null && node2 == null ) { return null ; } // resultant node Node res = null ; // if both of them have nodes present traverse them while (node1 != null && node2 != null ) { // Now compare both nodes current data if (node1.data <= node2.data) { Node temp = node1.next; node1.next = res; res = node1; node1 = temp; } else { Node temp = node2.next; node2.next = res; res = node2; node2 = temp; } } // If second list reached end, but first list has // nodes. Add remaining nodes of first list at the // front of result list while (node1 != null ) { Node temp = node1.next; node1.next = res; res = node1; node1 = temp; } // If first list reached end, but second list has // node. Add remaining nodes of first list at the // front of result list while (node2 != null ) { Node temp = node2.next; node2.next = res; res = node2; node2 = temp; } return res; } public static void main(String[] args) { LinkedList list = new LinkedList(); Node result = null ; /*Let us create two sorted linked lists to test the above functions. Created lists shall be a: 5->10->15 b: 2->3->20*/ list.a = new Node( 5 ); list.a.next = new Node( 10 ); list.a.next.next = new Node( 15 ); list.b = new Node( 2 ); list.b.next = new Node( 3 ); list.b.next.next = new Node( 20 ); System.out.println( "List a before merge :" ); list.printlist(a); System.out.println( "" ); System.out.println( "List b before merge :" ); list.printlist(b); // merge two sorted linkedlist in decreasing order result = list.sortedmerge(a, b); System.out.println( "" ); System.out.println( "Merged linked list : " ); list.printlist(result); } } // This code has been contributed by Mayank Jaiswal |
Python3
# Given two sorted non-empty linked lists. Merge them in # such a way that the result list will be in reverse # order. Reversing of linked list is not allowed. Also, # extra space should be O(1) # Node of a linked list class Node: def __init__( self , next = None , data = None ): self . next = next self .data = data # Given two non-empty linked lists 'a' and 'b' def SortedMerge(a,b): # If both lists are empty if (a = = None and b = = None ): return None # Initialize head of resultant list res = None # Traverse both lists while both of then # have nodes. while (a ! = None and b ! = None ): # If a's current value is smaller or equal to # b's current value. if (a.key < = b.key): # Store next of current Node in first list temp = a. next # Add 'a' at the front of resultant list a. next = res res = a # Move ahead in first list a = temp # If a's value is greater. Below steps are similar # to above (Only 'a' is replaced with 'b') else : temp = b. next b. next = res res = b b = temp # If second list reached end, but first list has # nodes. Add remaining nodes of first list at the # front of result list while (a ! = None ): temp = a. next a. next = res res = a a = temp # If first list reached end, but second list has # node. Add remaining nodes of first list at the # front of result list while (b ! = None ): temp = b. next b. next = res res = b b = temp return res # Function to print Nodes in a given linked list def printList(Node): while (Node ! = None ): print ( Node.key, end = " " ) Node = Node. next # Utility function to create a new node with # given key def newNode( key): temp = Node() temp.key = key temp. next = None return temp # Driver program to test above functions # Start with the empty list res = None # Let us create two sorted linked lists to test # the above functions. Created lists shall be # a: 5.10.15 # b: 2.3.20 a = newNode( 5 ) a. next = newNode( 10 ) a. next . next = newNode( 15 ) b = newNode( 2 ) b. next = newNode( 3 ) b. next . next = newNode( 20 ) print ( "List A before merge: " ) printList(a) print ( "List B before merge: " ) printList(b) # merge 2 increasing order LLs in decreasing order res = SortedMerge(a, b) print ( "Merged Linked List is: " ) printList(res) # This code is contributed by Arnab Kundu |
C#
// C# program to merge two sorted // linked list such that merged // list is in reverse order // Linked List Class using System; class LinkedList { public Node head; // head of list static Node a, b; /* Node Class */ public class Node { public int data; public Node next; // Constructor to create a new node public Node( int d) { data = d; next = null ; } } void printlist(Node node) { while (node != null ) { Console.Write(node.data + " " ); node = node.next; } } Node sortedmerge(Node node1, Node node2) { // if both the nodes are null if (node1 == null && node2 == null ) { return null ; } // resultant node Node res = null ; // if both of them have nodes // present traverse them while (node1 != null && node2 != null ) { // Now compare both nodes current data if (node1.data <= node2.data) { Node temp = node1.next; node1.next = res; res = node1; node1 = temp; } else { Node temp = node2.next; node2.next = res; res = node2; node2 = temp; } } // If second list reached end, but first // list has nodes. Add remaining nodes of // first list at the front of result list while (node1 != null ) { Node temp = node1.next; node1.next = res; res = node1; node1 = temp; } // If first list reached end, but second // list has node. Add remaining nodes of // first list at the front of result list while (node2 != null ) { Node temp = node2.next; node2.next = res; res = node2; node2 = temp; } return res; } // Driver code public static void Main(String[] args) { LinkedList list = new LinkedList(); Node result = null ; /*Let us create two sorted linked lists to test the above functions. Created lists shall be a: 5->10->15 b: 2->3->20*/ LinkedList.a = new Node(5); LinkedList.a.next = new Node(10); LinkedList.a.next.next = new Node(15); LinkedList.b = new Node(2); LinkedList.b.next = new Node(3); LinkedList.b.next.next = new Node(20); Console.WriteLine( "List a before merge :" ); list.printlist(a); Console.WriteLine( "" ); Console.WriteLine( "List b before merge :" ); list.printlist(b); // merge two sorted linkedlist in decreasing order result = list.sortedmerge(a, b); Console.WriteLine( "" ); Console.WriteLine( "Merged linked list : " ); list.printlist(result); } } // This code has been contributed by 29AjayKumar |
Javascript
<script> // Javascript program to merge two // sorted linked list such that merged // list is in reverse order // Node Class class Node { constructor(d) { this .data = d; this .next = null ; } } // Head of list let head; let a, b; function printlist(node) { while (node != null ) { document.write(node.data + " " ); node = node.next; } } function sortedmerge(node1, node2) { // If both the nodes are null if (node1 == null && node2 == null ) { return null ; } // Resultant node let res = null ; // If both of them have nodes present // traverse them while (node1 != null && node2 != null ) { // Now compare both nodes current data if (node1.data <= node2.data) { let temp = node1.next; node1.next = res; res = node1; node1 = temp; } else { let temp = node2.next; node2.next = res; res = node2; node2 = temp; } } // If second list reached end, but // first list has nodes. Add // remaining nodes of first // list at the front of result list while (node1 != null ) { let temp = node1.next; node1.next = res; res = node1; node1 = temp; } // If first list reached end, but // second list has node. Add // remaining nodes of first // list at the front of result list while (node2 != null ) { let temp = node2.next; node2.next = res; res = node2; node2 = temp; } return res; } // Driver code let result = null ; /*Let us create two sorted linked lists to test the above functions. Created lists shall be a: 5->10->15 b: 2->3->20*/ a = new Node(5); a.next = new Node(10); a.next.next = new Node(15); b = new Node(2); b.next = new Node(3); b.next.next = new Node(20); document.write( "List a before merge :<br>" ); printlist(a); document.write( "<br>" ); document.write( "List b before merge :<br>" ); printlist(b); // Merge two sorted linkedlist in decreasing order result = sortedmerge(a, b); document.write( "<br>" ); document.write( "Merged linked list : <br>" ); printlist(result); // This code is contributed by rag2127 </script> |
输出:
List A before merge: 5 10 15 List B before merge: 2 3 20 Merged Linked List is: 20 15 10 5 3 2
这个解决方案只遍历两个列表一次,不需要反向操作,并且可以正常工作。 本文由 穆罕默德·拉凯布 。如果您发现任何不正确的地方,或者您想分享有关上述主题的更多信息,请发表评论
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