四种常见的链表包括：单向链表，单向循环链表，双向链表，双向循环链表。

要实现的链表操作包括

- is_empty() 判断链表是否为空

- length() 求链表长度

- traversing() 遍历所有节点元素

- add() 头部添加节点

- append() 尾部添加节点

- insert(pos, item) 某个位置插入节点

- remove(item) 删除一个节点

- search(item) 查找某个节点是否存在

先初始化节点

class Node(object):"""单节点"""def __init__(self, elem):self.elem = elemself.next = Noneclass DoubleNode(Node):"""双节点"""def __init__(self, elem):super(DoubleNode, self).__init__(elem)self.prev = None

四种链表的实现中，每一个类都继承自object, self.__head是私有变量，不能被子类或外部调用。 ```python [s-单向链表] class SingleLinkList(object): """单向链表"""

def __init__(self, node=None):self.head = nodedef is_empty(self) -> bool:"""链表是否为空 O(1)"""return self.head is Nonedef length(self) -> int:"""链表长度 O(n)"""count, cur = 0, self.headwhile cur is not None:cur = cur.next  # 不要写错cur = self.head.next, self.__next不是活动指针count += 1return countdef traversing(self) -> '':"""遍历所有节点 O(n)"""cur = self.head  # 不是 self._headwhile cur is not None:print(cur.elem, end=' ')cur = cur.nextreturn ''def add(self, item) -> None:"""头部添加节点 O(1)"""node = Node(item)node.next = self.headself.head = nodedef append(self, item) -> None:"""尾部添加节点 O(n)"""node = Node(item)cur = self.headif self.is_empty():self.head = nodeelse:while cur.next is not None:cur = cur.nextcur.next = nodedef insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = Node(item)count, cur = 1, self.headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextcur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""pre, cur = None, self.headwhile cur is not None:if cur.elem == item:if cur == self.head:self.head = cur.nextbreak  # 只remove第一个元素pre.next = cur.nextbreakpre = curcur = cur.nextdef search(self, item) -> bool:"""查找节点是否存在 O(n)"""cur = self.headwhile cur is not None:if cur.elem == item:return Truecur = cur.nextreturn False
```python [s-单向循环链表]
class SingleCycleLinkList(object):"""单向循环链表"""def __init__(self, node=None):self.__head = nodeif node:node.next = nodedef is_empty(self) -> bool:"""链表是否为空 O(1)"""return self.__head is Nonedef length(self) -> int:"""链表长度 O(n)"""if self.is_empty():return 0count, cur = 1, self.__headwhile cur.next != self.__head:cur = cur.next  # 不要写错cur = self.__head.next, self.__next不是活动指针count += 1return countdef transverse(self) -> '':"""遍历所有节点 O(n)"""if not self.is_empty():cur = self.__head  # 不是 self._headwhile cur.next != self.__head:print(cur.elem, end=' ')cur = cur.nextprint(cur.elem, end=' ')return ''def add(self, item) -> None:"""头部添加节点 O(n)"""node = Node(item)if self.is_empty():self.__head = nodenode.next = nodeelse:cur = self.__headwhile cur.next != self.__head:cur = cur.next# 退出while循环之后cur指向尾结点node.next = self.__headself.__head = nodecur.next = self.__headdef append(self, item) -> None:"""尾部添加节点 O(n)"""node = Node(item)if self.is_empty():self.__head = nodenode.next = nodeelse:cur = self.__headwhile cur.next != self.__head:cur = cur.nextcur.next = nodenode.next = self.__headdef insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = Node(item)count, cur = 1, self.__headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextcur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""if self.is_empty():returnpre, cur = None, self.__headwhile cur.next != self.__head:if cur.elem == item:# 移除头结点if cur == self.__head:rear = self.__headwhile rear.next != self.__head:rear = rear.nextself.__head = cur.nextrear.next = self.__head# 移除中间节点else:pre.next = cur.nextreturn  # 结束。只remove第一个元素pre = curcur = cur.next# 移除尾结点if cur.elem == item:if cur == self.__head:self.__head = Noneelse:pre.next = self.__head  # 或者 pre.next = cur.nextdef search(self, item) -> bool:"""查找节点是否存在 O(n)"""if self.is_empty():return Falseelse:cur = self.__headwhile cur.next != self.__head:if cur.elem == item:return Truecur = cur.nextreturn cur.elem == item

```python [s-双向链表] class DoubleLinkList(object): """双向链表"""

def __init__(self, node=None):self.__head = nodedef is_empty(self) -> bool:"""链表是否为空 O(1)"""return self.__head is Nonedef length(self) -> int:"""链表长度 O(n)"""count, cur = 0, self.__headwhile cur is not None:cur = cur.next  # 不要写错cur = self.__head.next, self.__next不是活动指针count += 1return countdef transverse(self) -> '':"""遍历所有节点 O(n)"""cur = self.__head  # 不是 self._headwhile cur is not None:print(cur.elem, end=' ')cur = cur.nextreturn ''def add(self, item) -> None:"""头部添加节点 O(1)"""node = DoubleNode(item)node.next = self.__headself.__head = nodeif node.next:  # 当原链表为空时node.next.prev = nodedef append(self, item) -> None:"""尾部添加节点 O(n)"""node = DoubleNode(item)cur = self.__headif self.is_empty():self.__head = nodeelse:while cur.next is not None:cur = cur.nextcur.next = nodenode.prev = curdef insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = DoubleNode(item)count, cur = 1, self.__headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextnode.prev = curcur.next.prev = nodecur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""cur = self.__headwhile cur is not None:if cur.elem == item:if cur == self.__head:self.__head = cur.nextif self.__head:  # 只有一个节点的特殊情况cur.next.prev = Noneelse:cur.prev.next = cur.nextif cur.next:cur.next.prev = cur.prevbreak  # 只remove第一个元素cur = cur.nextdef search(self, item) -> bool:"""查找节点是否存在 O(n)"""cur = self.__headwhile cur is not None:if cur.elem == item:return Truecur = cur.nextreturn False
```python [s-双向循环链表]
class DoubleCycleLinkList(object):"""双向循环链表"""def __init__(self, node=None):self.__head = nodeif node:node.next = nodenode.prev = nodedef is_empty(self) -> bool:"""链表是否为空 O(1)"""return self.__head is Nonedef length(self) -> int:"""链表长度 O(n)"""if self.is_empty():return 0count, cur = 1, self.__headwhile cur.next != self.__head:cur = cur.next  # 不要写错cur = self.__head.next, self.__next不是活动指针count += 1return countdef transverse(self) -> '':"""遍历所有节点 O(n)"""if not self.is_empty():cur = self.__head  # 不是 self._headwhile cur.next != self.__head:print(cur.elem, end=' ')cur = cur.nextprint(cur.elem, end=' ')return ''def add(self, item) -> None:"""头部添加节点 O(n)"""node = DoubleNode(item)if self.is_empty():self.__head = nodenode.next = nodenode.prev = nodeelse:cur = self.__headwhile cur.next != self.__head:cur = cur.next# 退出while循环之后cur指向尾结点，双向循环链表需要改动5个指针node.next = self.__head  # 1.node.next指向原来的头结点node.prev = cur  # 2.node.prev指向尾结点，当前cur指向的节点cur.next.prev = node  # 3.原来头结点的prev指向要插入的nodeself.__head = node  # 4.self.__head指向要插入的nodecur.next = node  # 5.尾结点的next指向要插入的nodedef append(self, item) -> None:"""尾部添加节点 O(n)"""node = DoubleNode(item)if self.is_empty():self.__head = nodenode.next = nodenode.prev = nodeelse:cur = self.__head# 退出while循环之后cur指向尾结点，双向循环链表需要改动4个指针while cur.next != self.__head:cur = cur.nextcur.next.prev = node  # 1.原来头结点的.prev指向要插入的nodecur.next = node  # 2.原来尾结点.next指向要插入的nodenode.prev = cur  # 3.node.prev指向原来的尾节点node.next = self.__head  # 4.node.next指向头结点def insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = DoubleNode(item)count, cur = 1, self.__headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextnode.prev = curcur.next.pre = nodecur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""if self.is_empty():returncur = self.__headwhile cur.next != self.__head:if cur.elem == item:# 移除头结点if cur == self.__head:cur.prev.next = cur.nextcur.next.prev = cur.prevself.__head = cur.next# 移除中间节点else:cur.prev.next = cur.nextcur.next.prev = cur.prevreturn  # 结束。只remove第一个元素cur = cur.next# 移除尾结点if cur.elem == item:if cur == self.__head:  # 当链表只有一个节点时self.__head = Noneelse:cur.next.prev = cur.prevcur.prev.next = cur.nextdef search(self, item) -> bool:"""查找节点是否存在 O(n)"""if self.is_empty():return Falseelse:cur = self.__headwhile cur.next != self.__head:if cur.elem == item:return Truecur = cur.nextreturn cur.elem == item

在以上四种链表的实现中，可以发现有的类方法代码是重复的，具体重复的方法如下： - 所有的is_empty()方法都一样 - 双向链表的length(), traversing(), search(item)实现与单向链表 - 双向循环链表的length(), traversing(), search(item)实现与单向循环链表一样 因此，我们可以使用Python中类的特性：继承和多态 来简化代码，使用了继承之后把self.__head改成self.head。

#!/usr/bin/env python3
# -*- coding:utf-8 -*-
# __author__ = 'zhao zi yang'class Node(object):"""单节点"""def __init__(self, elem):self.elem = elemself.next = Noneclass DoubleNode(Node):"""双节点"""def __init__(self, elem):super(DoubleNode, self).__init__(elem)self.prev = Noneclass SingleLinkList(object):"""单链表"""def __init__(self, node=None):self.head = nodedef is_empty(self) -> bool:"""链表是否为空 O(1)"""return self.head is Nonedef length(self) -> int:"""链表长度 O(n)"""count, cur = 0, self.headwhile cur is not None:cur = cur.next  # 不要写错cur = self.head.next, self.__next不是活动指针count += 1return countdef traversing(self) -> '':"""遍历所有节点 O(n)"""cur = self.head  # 不是 self._headwhile cur is not None:print(cur.elem, end=' ')cur = cur.nextreturn ''def add(self, item) -> None:"""头部添加节点 O(1)"""node = Node(item)node.next = self.headself.head = nodedef append(self, item) -> None:"""尾部添加节点 O(n)"""node = Node(item)cur = self.headif self.is_empty():self.head = nodeelse:while cur.next is not None:cur = cur.nextcur.next = nodedef insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = Node(item)count, cur = 1, self.headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextcur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""pre, cur = None, self.headwhile cur is not None:if cur.elem == item:if cur == self.head:self.head = cur.nextbreak  # 只remove第一个元素pre.next = cur.nextbreakpre = curcur = cur.nextdef search(self, item) -> bool:"""查找节点是否存在 O(n)"""cur = self.headwhile cur is not None:if cur.elem == item:return Truecur = cur.nextreturn Falseclass SingleCycleLinkList(SingleLinkList):"""单向循环链表"""def __init__(self, node=None):if node:node.next = nodesuper(SingleCycleLinkList, self).__init__(node=node)def length(self) -> int:"""链表长度 O(n)"""if self.is_empty():return 0count, cur = 1, self.headwhile cur.next != self.head:cur = cur.next  # 不要写错cur = self.head.next, self.__next不是活动指针count += 1return countdef traversing(self) -> '':"""遍历所有节点 O(n)"""if not self.is_empty():cur = self.head  # 不是 self._headwhile cur.next != self.head:print(cur.elem, end=' ')cur = cur.nextprint(cur.elem, end=' ')return ''def add(self, item) -> None:"""头部添加节点 O(n)"""node = Node(item)if self.is_empty():self.head = nodenode.next = nodeelse:cur = self.headwhile cur.next != self.head:cur = cur.next# 退出while循环之后cur指向尾结点node.next = self.headself.head = nodecur.next = self.headdef append(self, item) -> None:"""尾部添加节点 O(n)"""node = Node(item)if self.is_empty():self.head = nodenode.next = nodeelse:cur = self.headwhile cur.next != self.head:cur = cur.nextcur.next = nodenode.next = self.headdef insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = Node(item)count, cur = 1, self.headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextcur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""if self.is_empty():returnpre, cur = None, self.headwhile cur.next != self.head:if cur.elem == item:# 移除头结点if cur == self.head:rear = self.headwhile rear.next != self.head:rear = rear.nextself.head = cur.nextrear.next = self.head# 移除中间节点else:pre.next = cur.nextreturn  # 结束。只remove第一个元素pre = curcur = cur.next# 移除尾结点if cur.elem == item:if cur == self.head:self.head = Noneelse:pre.next = self.head  # 或者 pre.next = cur.nextdef search(self, item) -> bool:"""查找节点是否存在 O(n)"""if self.is_empty():return Falseelse:cur = self.headwhile cur.next != self.head:if cur.elem == item:return Truecur = cur.nextreturn cur.elem == itemclass DoubleLinkList(SingleLinkList):"""双链表"""def add(self, item) -> None:"""头部添加节点 O(1)"""node = DoubleNode(item)node.next = self.headself.head = nodeif node.next:  # 当原链表为空时node.next.prev = nodedef append(self, item) -> None:"""尾部添加节点 O(n)"""node = DoubleNode(item)cur = self.headif self.is_empty():self.head = nodeelse:while cur.next is not None:cur = cur.nextcur.next = nodenode.prev = curdef insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = DoubleNode(item)count, cur = 1, self.headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextnode.prev = curcur.next.prev = nodecur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""cur = self.headwhile cur is not None:if cur.elem == item:if cur == self.head:self.head = cur.nextif self.head:  # 只有一个节点的特殊情况cur.next.prev = Noneelse:cur.prev.next = cur.nextif cur.next:cur.next.prev = cur.prevbreak  # 只remove第一个元素cur = cur.nextclass DoubleCycleLinkList(SingleCycleLinkList):"""双向循环链表"""def __init__(self, node=None):if node:node.next = nodenode.prev = nodesuper(DoubleCycleLinkList, self).__init__(node=node)def add(self, item) -> None:"""头部添加节点 O(n)"""node = DoubleNode(item)if self.is_empty():self.head = nodenode.next = nodenode.prev = nodeelse:cur = self.headwhile cur.next != self.head:cur = cur.next# 退出while循环之后cur指向尾结点，双向循环链表需要改动5个指针node.next = self.head  # 1.node.next指向原来的头结点node.prev = cur  # 2.node.prev指向尾结点，当前cur指向的节点cur.next.prev = node  # 3.原来头结点的prev指向要插入的nodeself.head = node  # 4.self.head指向要插入的nodecur.next = node  # 5.尾结点的next指向要插入的nodedef append(self, item) -> None:"""尾部添加节点 O(n)"""node = DoubleNode(item)if self.is_empty():self.head = nodenode.next = nodenode.prev = nodeelse:cur = self.head# 退出while循环之后cur指向尾结点，双向循环链表需要改动4个指针while cur.next != self.head:cur = cur.nextcur.next.prev = node  # 1.原来头结点的.prev指向要插入的nodecur.next = node  # 2.原来尾结点.next指向要插入的nodenode.prev = cur  # 3.node.prev指向原来的尾节点node.next = self.head  # 4.node.next指向头结点def insert(self, position: int, item) -> None:"""节点插入到某个位置 O(n):param position: 0表示第1个位置:param item::return: None"""if position <= 0:self.add(item)elif position >= self.length():self.append(item)else:node = DoubleNode(item)count, cur = 1, self.headwhile count < position:cur = cur.nextcount += 1node.next = cur.nextnode.prev = curcur.next.pre = nodecur.next = nodedef remove(self, item) -> None:"""删除链表中的一个节点 O(n)"""if self.is_empty():returncur = self.headwhile cur.next != self.head:if cur.elem == item:# 移除头结点if cur == self.head:cur.prev.next = cur.nextcur.next.prev = cur.prevself.head = cur.next# 移除中间节点else:cur.prev.next = cur.nextcur.next.prev = cur.prevreturn  # 结束。只remove第一个元素cur = cur.next# 移除尾结点if cur.elem == item:if cur == self.head:  # 当链表只有一个节点时self.head = Noneelse:cur.next.prev = cur.prevcur.prev.next = cur.nextif __name__ == '__main__':print("----single_link_list-----")single_link_list = SingleLinkList()single_link_list.remove('test')print(single_link_list.is_empty(), single_link_list.length())single_link_list.insert(-1, 'zhao')print(single_link_list.is_empty(), single_link_list.length())single_link_list.insert(3, 'zi')print(single_link_list.length())single_link_list.append('yang')single_link_list.add("head")single_link_list.insert(4, "tail")print(single_link_list.traversing())single_link_list.remove(1)print(single_link_list.traversing())single_link_list.remove("head")print(single_link_list.traversing())single_link_list.remove("tail")print(single_link_list.traversing())single_link_list.remove('zi')print(single_link_list.traversing())print("n----single_cycle_link_list-----")single_cycle_link_list = SingleCycleLinkList()single_cycle_link_list.remove('test')print(single_cycle_link_list.is_empty(), single_cycle_link_list.length())single_cycle_link_list.insert(-1, 'zhao')print(single_cycle_link_list.is_empty(), single_cycle_link_list.length())single_cycle_link_list.insert(3, 'zi')print(single_cycle_link_list.length())single_cycle_link_list.append('yang')single_cycle_link_list.add("head")single_cycle_link_list.insert(4, "tail")print(single_cycle_link_list.traversing())single_cycle_link_list.remove(1)print(single_cycle_link_list.traversing())single_cycle_link_list.remove("head")print(single_cycle_link_list.traversing())single_cycle_link_list.remove("tail")print(single_cycle_link_list.traversing())single_cycle_link_list.remove('zi')print(single_cycle_link_list.traversing())print("n----double_link_list-----")double_link_list = DoubleLinkList()double_link_list.remove('test')print(double_link_list.is_empty(), double_link_list.length())double_link_list.insert(-1, 'zhao')print(double_link_list.is_empty(), double_link_list.length())double_link_list.insert(3, 'zi')print(double_link_list.length())double_link_list.append('yang')double_link_list.add("head")double_link_list.insert(4, "tail")print(double_link_list.traversing())double_link_list.remove(1)print(double_link_list.traversing())double_link_list.remove("head")print(double_link_list.traversing())double_link_list.remove("tail")print(double_link_list.traversing())double_link_list.remove('zi')print(double_link_list.traversing())print("n----double_cycle_link_list-----")double_cycle_link_list = DoubleCycleLinkList()double_cycle_link_list.remove('test')print(double_cycle_link_list.is_empty(), double_cycle_link_list.length())double_cycle_link_list.insert(-1, 'zhao')print(double_cycle_link_list.is_empty(), double_cycle_link_list.length())double_cycle_link_list.insert(3, 'zi')print(double_cycle_link_list.length())double_cycle_link_list.append('yang')double_cycle_link_list.add("head")double_cycle_link_list.insert(4, "tail")print(double_cycle_link_list.traversing())double_cycle_link_list.remove(1)print(double_cycle_link_list.traversing())double_cycle_link_list.remove("head")print(double_cycle_link_list.traversing())double_cycle_link_list.remove("tail")print(double_cycle_link_list.traversing())double_cycle_link_list.remove('zi')print(double_cycle_link_list.traversing())

结果运行如下：

----single_link_list-----
True 0
False 1
2
head zhao zi yang tail
head zhao zi yang tail
zhao zi yang tail
zhao zi yang
zhao yang ----single_cycle_link_list-----
True 0
False 1
2
head zhao zi yang tail
head zhao zi yang tail
zhao zi yang tail
zhao zi yang
zhao yang ----double_link_list-----
True 0
False 1
2
head zhao zi yang tail
head zhao zi yang tail
zhao zi yang tail
zhao zi yang
zhao yang ----double_cycle_link_list-----
True 0
False 1
2
head zhao zi yang tail
head zhao zi yang tail
zhao zi yang tail
zhao zi yang
zhao yang

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