# Python - Delete odd nodes of the Doubly Linked List

Deleting odd nodes of a doubly linked list requires traverse through the list and deleting odd nodes one by one. If the list is not null then release the head and make next of head as new head. If the new head is not null then make the next of head as null and create two nodes - evenNode and oddNode. Make evenNode to the first even node of list and oddNode to second odd node of the list (3rd node in the original list). If both are not null, delete the oddNode and adjust links. Move both nodes to next set of even-odd nodes. Repeat the process till the any or both nodes become null.

The function deleteOddNodes is created for this purpose. It is a 5-step process.

```def deleteOddNodes(self):

temp = None

#2. if the new head is not make prev of head as
#   null and create nodes - evenNode and oddNode

while(evenNode != None and oddNode != None):

#3. while evenNode and oddNode are not null
#   make next of evenNode as next of oddNode
#   and free oddNode
evenNode.next = oddNode.next
oddNode = None

#4. and make temp as evenNode and evenNode as
#   next of evenNode
temp = evenNode
evenNode = evenNode.next

#5. Update prev link, evenNode and oddNode
if(evenNode != None):
evenNode.prev = temp
oddNode = evenNode.next
```

The below is a complete program that uses above discussed concept of deleting odd nodes of a doubly linked list.

```# node structure
class Node:
def __init__(self, data):
self.data = data
self.next = None
self.prev = None

def __init__(self):

#Add new element at the end of the list
def push_back(self, newElement):
newNode = Node(newElement)
return
else:
while(temp.next != None):
temp = temp.next
temp.next = newNode
newNode.prev = temp

#delete odd nodes of the list
def deleteOddNodes(self):
temp = None
while(evenNode != None and oddNode != None):
evenNode.next = oddNode.next
oddNode = None
temp = evenNode
evenNode = evenNode.next
if(evenNode != None):
evenNode.prev = temp
oddNode = evenNode.next

#display the content of the list
def PrintList(self):
if(temp != None):
print("The list contains:", end=" ")
while (temp != None):
print(temp.data, end=" ")
temp = temp.next
print()
else:
print("The list is empty.")

# test the code

#Add five elements in the list.
MyList.push_back(10)
MyList.push_back(20)
MyList.push_back(30)
MyList.push_back(40)
MyList.push_back(50)

#Display the content of the list.
MyList.PrintList()

#delete odd nodes of the list
MyList.deleteOddNodes()

print("After deleting odd nodes.")
#Display the content of the list.
MyList.PrintList()
```

The above code will give the following output:

```The list contains: 10 20 30 40 50
After deleting odd nodes.
The list contains: 20 40
```

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