# C - Delete even nodes of the Doubly Linked List

Deleting even nodes of a doubly linked list requires traverse through the list and deleting even nodes one by one. It requires creating two nodes - oddNode and evenNode. If head is not null, make oddNode to first odd node of list and evenNode to first even node of the list. If both are not null, delete the evenNode and adjust links. Move both nodes to next set of odd-even nodes. Repeat the process till any or both nodes become null.

The function deleteEvenNodes is created for this purpose. It is a 4-step process.

```void deleteEvenNodes(struct Node** head_ref) {

//1. if head is not null create nodes -
//   evenNode and oddNode
struct Node* temp;

while(oddNode != NULL && evenNode != NULL) {

//2. while oddNode and evenNode are not null
//   make next of oddNode as next of evenNode
//   and free evenNode
oddNode->next = evenNode->next;
free(evenNode);

//3. and make temp as oddNode and oddNode as
//   next of oddNode
temp = oddNode;
oddNode = oddNode->next;

//4. Update prev link, oddNode and evenNode
if(oddNode != NULL){
oddNode->prev = temp;
evenNode = oddNode->next;
}
}
}
}
```

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

```#include <stdio.h>
#include <stdlib.h>

//node structure
struct Node {
int data;
struct Node* next;
struct Node* prev;
};

//Add new element at the end of the list
void push_back(struct Node** head_ref, int newElement) {
struct Node *newNode, *temp;
newNode = (struct Node*)malloc(sizeof(struct Node));
newNode->data = newElement;
newNode->next = NULL;
newNode->prev = NULL;
} else {
while(temp->next != NULL) {
temp = temp->next;
}
temp->next = newNode;
newNode->prev = temp;
}
}

//delete even nodes of the list
struct Node* temp;

while(oddNode != NULL && evenNode != NULL) {
oddNode->next = evenNode->next;
free(evenNode);

temp = oddNode;
oddNode = oddNode->next;
if(oddNode != NULL){
oddNode->prev = temp;
evenNode = oddNode->next;
}
}
}
}

//display the content of the list
printf("The list contains: ");
while (temp != NULL) {
printf("%i ",temp->data);
temp = temp->next;
}
printf("\n");
} else {
printf("The list is empty.\n");
}
}

// test the code
int main() {
struct Node* MyList = NULL;

//Add five elements in the list.
push_back(&MyList, 10);
push_back(&MyList, 20);
push_back(&MyList, 30);
push_back(&MyList, 40);
push_back(&MyList, 50);

//Display the content of the list.
PrintList(MyList);

//delete even nodes of the list
deleteEvenNodes(&MyList);

printf("After deleting even nodes.\n");
//Display the content of the list.
PrintList(MyList);

return 0;
}
```

The above code will give the following output:

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

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