Python Data Structure 简明教程

Python - Advanced Linked list

我们在前一章中已经了解到了链表,在此链表中只能向前移动。在本教程中,我们将看到另一种链表,在此链表中可以向前和向后移动。这种链表称为双链表。以下是双链表的功能。

We have already seen Linked List in earlier chapter in which it is possible only to travel forward. In this chapter we see another type of linked list in which it is possible to travel both forward and backward. Such a linked list is called Doubly Linked List. Following is the features of doubly linked list.

  1. Doubly Linked List contains a link element called first and last.

  2. Each link carries a data field(s) and two link fields called next and prev.

  3. Each link is linked with its next link using its next link.

  4. Each link is linked with its previous link using its previous link.

  5. The last link carries a link as null to mark the end of the list.

Creating Doubly linked list

我们使用 Node 类创建双链表。现在,我们使用与在单链表中使用相同的方法,但是头部和下一个指针将用于适当的分配,以便在每个节点中创建两条链接,除了节点中显示的数据之外。

We create a Doubly Linked list by using the Node class. Now we use the same approach as used in the Singly Linked List but the head and next pointers will be used for proper assignation to create two links in each of the nodes in addition to the data present in the node.

Example

class Node:
   def __init__(self, data):
      self.data = data
      self.next = None
      self.prev = None

class doubly_linked_list:
   def __init__(self):
      self.head = None

# Adding data elements
   def push(self, NewVal):
      NewNode = Node(NewVal)
      NewNode.next = self.head
      if self.head is not None:
         self.head.prev = NewNode
      self.head = NewNode

# Print the Doubly Linked list
   def listprint(self, node):
      while (node is not None):
         print(node.data),
         last = node
         node = node.next

dllist = doubly_linked_list()
dllist.push(12)
dllist.push(8)
dllist.push(62)
dllist.listprint(dllist.head)

Output

执行上述代码后,将生成以下结果 −

When the above code is executed, it produces the following result −

62 8 12

Inserting into Doubly Linked List

此处,我们将看到如何使用以下程序将节点插入到双向链表中。该程序使用一个名为 insert 的方法,该方法在双链表头的第三个位置插入新节点。

Here, we are going to see how to insert a node to the Doubly Link List using the following program. The program uses a method named insert which inserts the new node at the third position from the head of the doubly linked list.

Example

# Create the Node class
class Node:
   def __init__(self, data):
      self.data = data
      self.next = None
      self.prev = None

# Create the doubly linked list
class doubly_linked_list:
   def __init__(self):
      self.head = None

# Define the push method to add elements
   def push(self, NewVal):
      NewNode = Node(NewVal)
      NewNode.next = self.head
      if self.head is not None:
         self.head.prev = NewNode
      self.head = NewNode

# Define the insert method to insert the element
   def insert(self, prev_node, NewVal):
      if prev_node is None:
         return
      NewNode = Node(NewVal)
      NewNode.next = prev_node.next
      prev_node.next = NewNode
      NewNode.prev = prev_node
      if NewNode.next is not None:
         NewNode.next.prev = NewNode

# Define the method to print the linked list
   def listprint(self, node):
      while (node is not None):
         print(node.data),
         last = node
         node = node.next

dllist = doubly_linked_list()
dllist.push(12)
dllist.push(8)
dllist.push(62)
dllist.insert(dllist.head.next, 13)
dllist.listprint(dllist.head)

Output

执行上述代码后,将生成以下结果 −

When the above code is executed, it produces the following result −

62  8  13  12

Appending to a Doubly linked list

向双向链表追加会将元素添加到末尾。

Appending to a doubly linked list will add the element at the end.

Example

# Create the node class
class Node:
   def __init__(self, data):
      self.data = data
      self.next = None
      self.prev = None
# Create the doubly linked list class
class doubly_linked_list:
   def __init__(self):
      self.head = None

# Define the push method to add elements at the begining
   def push(self, NewVal):
      NewNode = Node(NewVal)
      NewNode.next = self.head
      if self.head is not None:
         self.head.prev = NewNode
      self.head = NewNode

# Define the append method to add elements at the end
   def append(self, NewVal):
      NewNode = Node(NewVal)
      NewNode.next = None
      if self.head is None:
         NewNode.prev = None
         self.head = NewNode
         return
      last = self.head
      while (last.next is not None):
         last = last.next
      last.next = NewNode
      NewNode.prev = last
      return

# Define the method to print
   def listprint(self, node):
      while (node is not None):
         print(node.data),
         last = node
         node = node.next

dllist = doubly_linked_list()
dllist.push(12)
dllist.append(9)
dllist.push(8)
dllist.push(62)
dllist.append(45)
dllist.listprint(dllist.head)

Output

执行上述代码后,将生成以下结果 −

When the above code is executed, it produces the following result −

62 8 12 9 45

请注意追加操作中元素 9 和 45 的位置。

Please note the position of the elements 9 and 45 for the append operation.