blocks|key|4519226|text|这里的关键一步是头部不是None。只有头部的Link节点的数据是None，并且它通过其next属性指向自身。正如你链接的答案中提到的，它看起来像这样：|type|unstyled|depth|inlineStyleRanges|offset|length|style|CODE|entityRanges|data|4519227|def+__init__(self):
++++self.head+=+Link(None,+None)
++++self.head.next+=+self.head|code-block|syntax|javascript|4519228|entityMap^0|C|4|M|4|W|4|17|4|0|0^^$0|@$1|2|3|4|5|6|7|M|8|@$9|N|A|O|B|C]|$9|P|A|Q|B|C]|$9|R|A|S|B|C]|$9|T|A|U|B|C]]|D|@]|E|$]]|$1|F|3|G|5|H|7|V|8|@]|D|@]|E|$I|J]]|$1|K|3|-4|5|6|7|W|8|@]|D|@]|E|$]]]|L|$]]

The crucial step here is that the head is not <code>None</code>. Only the data of the head's <code>Link</code> node is <code>None</code>, and it points to itself via its <code>next</code> attribute. As mentioned in the answer you linked to, that would look something like this:

<pre><code>def __init__(self):
 self.head = Link(None, None)
 self.head.next = self.head
</code></pre>

blocks|key|4519295|text|实际上，如果没有节点，那么就不能有下一个/上一个指针：|type|unstyled|depth|inlineStyleRanges|entityRanges|data|4519296|root
+%7C
+v
None|code-block|syntax|javascript|4519297|如果有一个节点，它会向后和向前链接到它自己：|4519298|++++root
+++++%7C
+++++v
%2B->+Node+<-%2B
%7C+++next---%2B
%2B---prev|4519299|如果有两个节点：|4519300|++++++root
+++++++%7C
+++++++v
++%2B->+Node+++%2B->+Node+<--%2B
++%7C+++next---%2B+++next--%2B+%7C
%2B-%7C---prev+<-----prev++%7C+%7C
%7C+%2B--------------------%2B+%7C
%2B------------------------%2B|4519301|entityMap^0|0|0|0|0|0|0^^$0|@$1|2|3|4|5|6|7|Q|8|@]|9|@]|A|$]]|$1|B|3|C|5|D|7|R|8|@]|9|@]|A|$E|F]]|$1|G|3|H|5|6|7|S|8|@]|9|@]|A|$]]|$1|I|3|J|5|D|7|T|8|@]|9|@]|A|$E|F]]|$1|K|3|L|5|6|7|U|8|@]|9|@]|A|$]]|$1|M|3|N|5|D|7|V|8|@]|9|@]|A|$E|F]]|$1|O|3|-4|5|6|7|W|8|@]|9|@]|A|$]]]|P|$]]

Indeed; if there are no nodes, then there can be no next/previous pointers:

<pre><code>root
 |
 v
None
</code></pre>

If there is one node, it links backwards and forwards to itself:

<pre><code> root
 |
 v
+-&gt; Node &lt;-+
| next---+
+---prev
</code></pre>

If there are two nodes:

<pre><code> root
 |
 v
 +-&gt; Node +-&gt; Node &lt;--+
 | next---+ next--+ |
+-|---prev &lt;-----prev | |
| +--------------------+ |
+------------------------+
</code></pre>

blocks|key|4519363|text|通常在循环链表中，你有一个特殊的链接，它不包含有意义的数据。相反，它是一个“前哨”，让你知道列表的开始(和结束)在哪里。即使当列表为空时，这个链接也会存在，因此您的算法将在所有列表上工作，而不会有许多需要特殊代码的特殊情况。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|4519364|class+Link:
++++def+__init__(self,+data,+next):
++++++++self.data+=+data
++++++++self.next+=+next

class+CircularLinkedList:
++++def+__init__(self):
++++++++self.head+=+Link(None,+None)+#+this+is+the+sentinel+node!
++++++++self.head.next+=+self.head+++#+link+it+to+itself

++++def+add(self,+data):+++++++++++++#+no+special+case+code+needed+for+an+empty+list
++++++++self.head.next+=+Link(data,+self.head.next)

++++def+__contains__(self,+data):++++#+example+algorithm,+implements+the+"in"+operator
++++++++current+=+self.head.next
++++++++while+current+!=+self.head:
++++++++++++if+current.data+==+data:+#+element+found
++++++++++++++++return+True
++++++++++++current+=+current.next
++++++++return+False|code-block|syntax|javascript|4519365|entityMap^0|0|0^^$0|@$1|2|3|4|5|6|7|I|8|@]|9|@]|A|$]]|$1|B|3|C|5|D|7|J|8|@]|9|@]|A|$E|F]]|$1|G|3|-4|5|6|7|K|8|@]|9|@]|A|$]]]|H|$]]

Often in a circular linked list, you have a special link that doesn't contain meaningful data. Instead, it's a "sentinel" letting you know where the beginning (and end) of the list is. This link will exist even when the list is empty, so your algorithms will work on all lists, without lots of special cases needing special code.

<pre><code>class Link:
 def __init__(self, data, next):
 self.data = data
 self.next = next

class CircularLinkedList:
 def __init__(self):
 self.head = Link(None, None) # this is the sentinel node!
 self.head.next = self.head # link it to itself

 def add(self, data): # no special case code needed for an empty list
 self.head.next = Link(data, self.head.next)

 def __contains__(self, data): # example algorithm, implements the "in" operator
 current = self.head.next
 while current != self.head:
 if current.data == data: # element found
 return True
 current = current.next
 return False
</code></pre>

blocks|key|4519378|text|#Linked+List+Program+to+Add+and+Delete+Node+Form+Head,+Tail,+in+Between+Nodes.
class+Node:
++++"""+Node+Class+having+the+data+and+pointer+to+the+next+Node"""
++++def+__init__(self,value):
++++++++self.value=value
++++++++self.nextnode=None
++++++++
class+CircularLinkedList(object):
++++"""+Linked+List+Class+to+point+the+value+and+the+next+nond"""
++++def+__init__(self):
++++++++self.head=None

++++def+add_head_node(self,value):
++++++++node=Node(value)
++++++++if+self.head+is+None:
++++++++++++self.head=node
++++++++++++self.head.nextnode=self.head
++++++++++++
++++++++crnt_node=node
++++++++crnt_node.nextnode=self.head++++++++
++++++++first_node=self.head
++++++++while+first_node.nextnode+is+not+self.head:
++++++++++++first_node=first_node.nextnode++++++++++
++++++++first_node.nextnode=crnt_node
++++++++self.head=crnt_node

++++#Adding+elements+in+linked+list+to+the+tail.
++++def+add_tail_node(self,value):
++++++++node=Node(value)
++++++++if+self.head+is+None:
++++++++++++self.head=node
++++++++++++self.head.nextnode=self.head
++++++++crnt_node=node
++++++++last_node=self.head
++++++++while+last_node.nextnode+is+not+self.head:
++++++++++++last_node=last_node.nextnode
++++++++#pointing++head's+last+element+to+given+node
++++++++last_node.nextnode=crnt_node
++++++++#pointing+last+node+next+to+head+nodes+of+element
++++++++crnt_node.nextnode=self.head

++++#Adding+elements+in+linked+after+given+Node.
++++def+add_after_node(self,after_value,value):
++++++++node=Node(value)
++++++++if+self.head+is+None:
++++++++++++self.head=node
++++++++++++self.head.nextnode=self.head
++++++++new_node=node
++++++++after_node=Node(after_value)
++++++++head_node=self.head
++++++++while+head_node.value+!=after_node.value:
++++++++++++head_node=head_node.nextnode
++++++++++++last_node=head_node.nextnode
++++++++head_node.nextnode=new_node
++++++++new_node.nextnode=last_node
++++++++head_node=head_node.nextnode

++++#Adding+elements+in+linked+before+given+Node.
++++def+add_before_node(self,bfr_value,value):
++++++++node=Node(value)
++++++++if+self.head+is+None:
++++++++++++self.head=node
++++++++++++self.head.nextnode=self.head
++++++++new_node=node
++++++++bfr_node=Node(bfr_value)
++++++++head_node=self.head
++++++++while+head_node.nextnode.value!=bfr_node.value:
++++++++++++head_node=head_node.nextnode
++++++++++++last_node=head_node.nextnode
++++++++head_node.nextnode=new_node
++++++++new_node.nextnode=last_node
++++++++head_node=head_node.nextnode
++++++++#self.head=head_node.nextnode

++++#deleting+Head+Node+of+Linked+List
++++def+del_head_node(self):
++++++++if+self.head+is+None:
++++++++++++print('Can+not+delete+elements+from+Empty+Linked+List')
++++++++++++return
++++++++crnt_node=self.head.nextnode
++++++++pointer_head=self.head.nextnode
++++++++while+pointer_head.nextnode.value!=self.head.value:
++++++++++++pointer_head=pointer_head.nextnode
++++++++pointer_head.nextnode=crnt_node
++++++++self.head=crnt_node
++++++++
++++#deleting+tail+Node+of+Linked+List
++++def+del_tail_node(self):
++++++++if+self.head+is+None:
++++++++++++print('Can+not+delete+elements+from+Empty+Linked+List')
++++++++++++return
++++++++crnt_node=self.head.nextnode
++++++++#head_node=self.head
++++++++while+crnt_node.nextnode.nextnode.value!=self.head.value:
++++++++++++crnt_node=crnt_node.nextnode
++++++++crnt_node.nextnode=self.head

++++#delete+beteween+node+from+Linked+List
++++def+del_bw_node(self,value):
++++++++node=Node(value)
++++++++if+self.head+is+None:
++++++++++++print('Can+not+delete+elements+from+Empty+Linked+List')
++++++++++++return
++++++++crnt_node=self.head
++++++++while+crnt_node.nextnode.value!=node.value:
++++++++++++crnt_node=crnt_node.nextnode
++++++++++++last_node=crnt_node.nextnode.nextnode
++++++++crnt_node.nextnode=last_node

++++#Function+to+print+linked+list+node+
++++def+print_list(self):
++++++++crnt_node=self.head
++++++++while+True:
++++++++++++print(f'{crnt_node.value}->',end='')
++++++++++++if+crnt_node.nextnode+is+self.head:
++++++++++++++++print(f'{self.head.value}',end='')
++++++++++++++++break
++++++++++++crnt_node+=+crnt_node.nextnode
++++++++print()


cir_llist=CircularLinkedList()
cir_llist.add_head_node(1)
cir_llist.print_list()
cir_llist.add_head_node(2)
cir_llist.print_list()
cir_llist.add_head_node(3)
cir_llist.print_list()
cir_llist.add_head_node(4)
cir_llist.print_list()
cir_llist.add_head_node(5)
cir_llist.print_list()
cir_llist.add_tail_node(6)
cir_llist.print_list()
cir_llist.add_tail_node(8)
cir_llist.print_list()
cir_llist.add_after_node(6,7)
cir_llist.print_list()
cir_llist.add_before_node(6,0)
cir_llist.print_list()
cir_llist.add_before_node(0,10)
cir_llist.print_list()
cir_llist.del_head_node()
cir_llist.print_list()
cir_llist.del_head_node()
cir_llist.print_list()
cir_llist.del_tail_node()
cir_llist.print_list()
cir_llist.del_tail_node()
cir_llist.print_list()
cir_llist.del_bw_node(10)
cir_llist.print_list()
cir_llist.del_bw_node(0)
cir_llist.print_list()|type|code-block|depth|inlineStyleRanges|entityRanges|data|syntax|javascript|4519379|unstyled|entityMap^0|0^^$0|@$1|2|3|4|5|6|7|G|8|@]|9|@]|A|$B|C]]|$1|D|3|-4|5|E|7|H|8|@]|9|@]|A|$]]]|F|$]]

<pre><code>#Linked List Program to Add and Delete Node Form Head, Tail, in Between Nodes.
class Node:
 &quot;&quot;&quot; Node Class having the data and pointer to the next Node&quot;&quot;&quot;
 def __init__(self,value):
 self.value=value
 self.nextnode=None
 
class CircularLinkedList(object):
 &quot;&quot;&quot; Linked List Class to point the value and the next nond&quot;&quot;&quot;
 def __init__(self):
 self.head=None

 def add_head_node(self,value):
 node=Node(value)
 if self.head is None:
 self.head=node
 self.head.nextnode=self.head
 
 crnt_node=node
 crnt_node.nextnode=self.head 
 first_node=self.head
 while first_node.nextnode is not self.head:
 first_node=first_node.nextnode 
 first_node.nextnode=crnt_node
 self.head=crnt_node

 #Adding elements in linked list to the tail.
 def add_tail_node(self,value):
 node=Node(value)
 if self.head is None:
 self.head=node
 self.head.nextnode=self.head
 crnt_node=node
 last_node=self.head
 while last_node.nextnode is not self.head:
 last_node=last_node.nextnode
 #pointing head's last element to given node
 last_node.nextnode=crnt_node
 #pointing last node next to head nodes of element
 crnt_node.nextnode=self.head

 #Adding elements in linked after given Node.
 def add_after_node(self,after_value,value):
 node=Node(value)
 if self.head is None:
 self.head=node
 self.head.nextnode=self.head
 new_node=node
 after_node=Node(after_value)
 head_node=self.head
 while head_node.value !=after_node.value:
 head_node=head_node.nextnode
 last_node=head_node.nextnode
 head_node.nextnode=new_node
 new_node.nextnode=last_node
 head_node=head_node.nextnode

 #Adding elements in linked before given Node.
 def add_before_node(self,bfr_value,value):
 node=Node(value)
 if self.head is None:
 self.head=node
 self.head.nextnode=self.head
 new_node=node
 bfr_node=Node(bfr_value)
 head_node=self.head
 while head_node.nextnode.value!=bfr_node.value:
 head_node=head_node.nextnode
 last_node=head_node.nextnode
 head_node.nextnode=new_node
 new_node.nextnode=last_node
 head_node=head_node.nextnode
 #self.head=head_node.nextnode

 #deleting Head Node of Linked List
 def del_head_node(self):
 if self.head is None:
 print('Can not delete elements from Empty Linked List')
 return
 crnt_node=self.head.nextnode
 pointer_head=self.head.nextnode
 while pointer_head.nextnode.value!=self.head.value:
 pointer_head=pointer_head.nextnode
 pointer_head.nextnode=crnt_node
 self.head=crnt_node
 
 #deleting tail Node of Linked List
 def del_tail_node(self):
 if self.head is None:
 print('Can not delete elements from Empty Linked List')
 return
 crnt_node=self.head.nextnode
 #head_node=self.head
 while crnt_node.nextnode.nextnode.value!=self.head.value:
 crnt_node=crnt_node.nextnode
 crnt_node.nextnode=self.head

 #delete beteween node from Linked List
 def del_bw_node(self,value):
 node=Node(value)
 if self.head is None:
 print('Can not delete elements from Empty Linked List')
 return
 crnt_node=self.head
 while crnt_node.nextnode.value!=node.value:
 crnt_node=crnt_node.nextnode
 last_node=crnt_node.nextnode.nextnode
 crnt_node.nextnode=last_node

 #Function to print linked list node 
 def print_list(self):
 crnt_node=self.head
 while True:
 print(f'{crnt_node.value}-&gt;',end='')
 if crnt_node.nextnode is self.head:
 print(f'{self.head.value}',end='')
 break
 crnt_node = crnt_node.nextnode
 print()


cir_llist=CircularLinkedList()
cir_llist.add_head_node(1)
cir_llist.print_list()
cir_llist.add_head_node(2)
cir_llist.print_list()
cir_llist.add_head_node(3)
cir_llist.print_list()
cir_llist.add_head_node(4)
cir_llist.print_list()
cir_llist.add_head_node(5)
cir_llist.print_list()
cir_llist.add_tail_node(6)
cir_llist.print_list()
cir_llist.add_tail_node(8)
cir_llist.print_list()
cir_llist.add_after_node(6,7)
cir_llist.print_list()
cir_llist.add_before_node(6,0)
cir_llist.print_list()
cir_llist.add_before_node(0,10)
cir_llist.print_list()
cir_llist.del_head_node()
cir_llist.print_list()
cir_llist.del_head_node()
cir_llist.print_list()
cir_llist.del_tail_node()
cir_llist.print_list()
cir_llist.del_tail_node()
cir_llist.print_list()
cir_llist.del_bw_node(10)
cir_llist.print_list()
cir_llist.del_bw_node(0)
cir_llist.print_list()
</code></pre>

blocks|key|11777|text|++++++++++++class+Node:
++++++++++++++++def+__init__(self,+d=None,+n=None,+p=None):
++++++++++++++++++++self.data+=+d
++++++++++++++++++++self.next_node+=+n
++++++++++++++++++++self.p_node+=+p
++++++++++++
++++++++++++++++def+__str__(self):
++++++++++++++++++++return+'('+%2B+str(self.data)+%2B+')'
++++++++++++
++++++++++++
++++++++++++class+CircularlinkedList:
++++++++++++++++def+__init__(self,+r=None):
++++++++++++++++++++self.root+=+r
++++++++++++++++++++self.size+=+0
++++++++++++
++++++++++++++++def+add(self,+d):
++++++++++++++++++++if+self.size+==+0:
++++++++++++++++++++++++self.root+=+Node(d)
++++++++++++++++++++++++self.root.next_node+=+self.root
++++++++++++++++++++else:
++++++++++++++++++++++++new_node+=+Node(d,+self.root.next_node)
++++++++++++++++++++++++self.root.next_node+=+new_node
++++++++++++++++++++self.size+%2B=+1
++++++++++++
++++++++++++++++def+find(self,+d):
++++++++++++++++++++this_node+=+self.root
++++++++++++++++++++while+True:
++++++++++++++++++++++++if+this_node.data+==+d:
++++++++++++++++++++++++++++return+d
++++++++++++++++++++++++elif+this_node.next_node+==+self.root:
++++++++++++++++++++++++++++return+False
++++++++++++++++++++++++this_node+=+this_node.next_node
++++++++++++
++++++++++++++++def+remove(self,+d):
++++++++++++++++++++this_node+=+self.root
++++++++++++++++++++prev_node+=+None
++++++++++++++++++++while+True:
++++++++++++++++++++++++if+this_node.data+==+d:
++++++++++++++++++++++++++++if+prev_node+is+not+None:
++++++++++++++++++++++++++++++++prev_node.next_node+=+this_node.next_node
++++++++++++++++++++++++++++else:
++++++++++++++++++++++++++++++++while+this_node.next_node+!=+self.root:
++++++++++++++++++++++++++++++++++++this_node+=+this_node.next_node
++++++++++++++++++++++++++++++++this_node.next_node+=+self.root.next_node
++++++++++++++++++++++++++++++++self.root+=+self.root.next_node
++++++++++++++++++++++++++++self.size+-=+1
++++++++++++++++++++++++++++return+True
++++++++++++++++++++++++elif+this_node.next_node+==+self.root:
++++++++++++++++++++++++++++return+False
++++++++++++++++++++++++prev_node+=+this_node
++++++++++++++++++++++++this_node+=+this_node.next_node
++++++++++++
++++++++++++++++def+print_list(self):
++++++++++++++++++++if+self.root+is+None:
++++++++++++++++++++++++return
++++++++++++++++++++this_node+=+self.root
++++++++++++++++++++print(this_node,+end='->')
++++++++++++++++++++while+this_node.next_node+!=+self.root:
++++++++++++++++++++++++this_node+=+this_node.next_node
++++++++++++++++++++++++print(this_node,+end='->')
++++++++++++++++++++print()|type|code-block|depth|inlineStyleRanges|entityRanges|data|syntax|javascript|11778|cll+=+CircularlinkedList()|unstyled|11779|for+i+in+[5,+7,+3,+8,+9]:

++++cll.add(i)|11780|打印(‘Size=’%2B字符串(cll.size))|11781|打印(cll.find(8))|11782|打印(cll.find(12))|11783|my_node+=+cll.root|11784|+for+i+in+range(8):

++++my_node+=+my_node.next_node

++++print(my_node,end='->')|11785|print()|11786|cll.print_list()|11787|cll.remove(8)|11788|打印(cll.remove(15))|11789|打印(‘Size=’%2B字符串(cll.size))|11790|cll.remove(5)|11791|11792|entityMap^0|0|0|0|0|0|0|0|0|0|0|0|0|0|0|0^^$0|@$1|2|3|4|5|6|7|17|8|@]|9|@]|A|$B|C]]|$1|D|3|E|5|F|7|18|8|@]|9|@]|A|$]]|$1|G|3|H|5|6|7|19|8|@]|9|@]|A|$B|C]]|$1|I|3|J|5|F|7|1A|8|@]|9|@]|A|$]]|$1|K|3|L|5|F|7|1B|8|@]|9|@]|A|$]]|$1|M|3|N|5|F|7|1C|8|@]|9|@]|A|$]]|$1|O|3|P|5|F|7|1D|8|@]|9|@]|A|$]]|$1|Q|3|R|5|6|7|1E|8|@]|9|@]|A|$B|C]]|$1|S|3|T|5|F|7|1F|8|@]|9|@]|A|$]]|$1|U|3|V|5|F|7|1G|8|@]|9|@]|A|$]]|$1|W|3|X|5|F|7|1H|8|@]|9|@]|A|$]]|$1|Y|3|Z|5|F|7|1I|8|@]|9|@]|A|$]]|$1|10|3|11|5|F|7|1J|8|@]|9|@]|A|$]]|$1|12|3|13|5|F|7|1K|8|@]|9|@]|A|$]]|$1|14|3|V|5|F|7|1L|8|@]|9|@]|A|$]]|$1|15|3|-4|5|F|7|1M|8|@]|9|@]|A|$]]]|16|$]]

<pre><code> class Node:
 def __init__(self, d=None, n=None, p=None):
 self.data = d
 self.next_node = n
 self.p_node = p
 
 def __str__(self):
 return '(' + str(self.data) + ')'
 
 
 class CircularlinkedList:
 def __init__(self, r=None):
 self.root = r
 self.size = 0
 
 def add(self, d):
 if self.size == 0:
 self.root = Node(d)
 self.root.next_node = self.root
 else:
 new_node = Node(d, self.root.next_node)
 self.root.next_node = new_node
 self.size += 1
 
 def find(self, d):
 this_node = self.root
 while True:
 if this_node.data == d:
 return d
 elif this_node.next_node == self.root:
 return False
 this_node = this_node.next_node
 
 def remove(self, d):
 this_node = self.root
 prev_node = None
 while True:
 if this_node.data == d:
 if prev_node is not None:
 prev_node.next_node = this_node.next_node
 else:
 while this_node.next_node != self.root:
 this_node = this_node.next_node
 this_node.next_node = self.root.next_node
 self.root = self.root.next_node
 self.size -= 1
 return True
 elif this_node.next_node == self.root:
 return False
 prev_node = this_node
 this_node = this_node.next_node
 
 def print_list(self):
 if self.root is None:
 return
 this_node = self.root
 print(this_node, end='-&gt;')
 while this_node.next_node != self.root:
 this_node = this_node.next_node
 print(this_node, end='-&gt;')
 print()
 

 
</code></pre>
cll = CircularlinkedList()
<pre><code>for i in [5, 7, 3, 8, 9]:

 cll.add(i)
</code></pre>
print('Size='+str(cll.size))
print(cll.find(8))
print(cll.find(12))
my_node = cll.root
<pre><code> for i in range(8):

 my_node = my_node.next_node

 print(my_node,end='-&gt;')
</code></pre>
print()
cll.print_list()
cll.remove(8)
print(cll.remove(15))
print('Size='+str(cll.size))
cll.remove(5)
cll.print_list()

I know how to create the <code>Link</code> and <code>LinearLinkedList</code> classes, but I just cannot for the life of me figure out how to modify them into a creating <code>circularlinkedlist</code>.

I have already read the answer to <a href="https://stackoverflow.com/questions/5451548/help-with-circular-linked-list-in-python">this question</a>. However, I do not understand how if the <code>head</code> is <code>None</code>, then how can a <code>None</code>-type object have a <code>next</code> attribute? I just can't seem to grasp the concept.

If someone could show me the <code>__init__</code> function of a sample <code>CircularLinkedList</code> and a simple explanation as to how it works, I think I would be able to comprehend it.

Thanks for any and all help

Edit: I only need the list to be traversed forwards. If that is the case, will the logic behind it need to be drastically changed?

How to Create a Circular LinkedList

翻译质量差，导致语言生硬或混乱。

没有提供实际的解决方法或示例。

解答不清晰，无法理解或解决问题。

页面排版不美观，阅读体验差。

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我知道如何创建Link和LinearLinkedList类，但我就是想不出如何将它们修改为正在创建的circularlinkedlist。我已经读过的答案了。但是，我不明白如果head是None，那么None-type对象如何具有next属性？我就是不能理解这个概念。如果有人能向我展示一个示例CircularLinke...

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