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

typedef struct node {
int data;
struct node *next;
struct node *prev;
}node;

typedef struct linked_list {
struct node *head;
}linked_list;

//to make new node
node* new_node(int data) {
node *z;
z = malloc(sizeof(struct node));
z->data = data;
z->next = NULL;
z->prev = NULL;

return z;
}

//to make a new linked list
linked_list* new_linked_list(int data) {
node *a; //new node for head of linked list
a = new_node(data);

linked_list *l = malloc(sizeof(linked_list)); //linked list
l->head = a;

return l;
}

void traversal(linked_list *l) {
node *temp = l->head; //temporary pointer to point to head

while(temp != NULL) { //iterating over linked list
printf("%dt", temp->data);
temp = temp->next;
}

printf("n");
}

//new node before head
void insert_at_front(linked_list *l, node *n) {
n->next = l->head;
l->head->prev = n;
l->head = n;
}

//insert new node at last
void insert_at_tail(linked_list *l, node *n) {
node *temp = l->head;

while(temp->next != NULL) {
temp = temp->next;
}

temp->next = n;
n->prev = temp;
}

//function to insert a node after a node
void insert_after(node *n, node *a) {
n->next = a->next;
a->next->prev = n;
a->next = n;
n->prev = a;
}

//function to delete
void del(linked_list *l, node *a) {
if(a->prev != NULL) { //node is not head
a->prev->next = a->next;
}
else { //node a is head
l->head = a->next;
}

if(a->next != NULL) {
a->next->prev = a->prev;
}
free(a);
}

void deleteNodesWithLogic(linked_list *l) {
struct node buckets[100];
int index = 0;

node *temp = l->head; //temporary pointer to point to head
while(temp != NULL) { //iterating over linked list
int p = temp->prev == NULL ? 0 : temp->prev->data;
int pp;
if (temp->prev == NULL) {
pp = 0;
} else {
pp = temp->prev->prev == NULL ? 0 : temp->prev->prev->data;
}

int sum = p+pp;

if(temp->data > sum) {
buckets[index] = *temp;
index++;
}
temp = temp->next;
}


for(int i = 0; i < (sizeof(buckets)/sizeof(node)); i++) {
del(l,&buckets[i]);
}
}


int main() {
linked_list *l = new_linked_list(10);

node *a, *b, *c; //new nodes to insert in linekd list
a = new_node(20);
b = new_node(50);
c = new_node(60);

l->head->next = a;
a->next = b;
b->next = c;

traversal(l);
deleteNodesWithLogic(l);
traversal(l);
return 0;
}#include <stdio.h>
#include <stdlib.h>

typedef struct node {
int data;
struct node *next;
struct node *prev;
}node;

typedef struct linked_list {
struct node *head;
}linked_list;

//to make new node
node* new_node(int data) {
node *z;
z = malloc(sizeof(struct node));
z->data = data;
z->next = NULL;
z->prev = NULL;

return z;
}

//to make a new linked list
linked_list* new_linked_list(int data) {
node *a; //new node for head of linked list
a = new_node(data);

linked_list *l = malloc(sizeof(linked_list)); //linked list
l->head = a;

return l;
}

void traversal(linked_list *l) {
node *temp = l->head; //temporary pointer to point to head

while(temp != NULL) { //iterating over linked list
printf("%dt", temp->data);
temp = temp->next;
}

printf("n");
}

//new node before head
void insert_at_front(linked_list *l, node *n) {
n->next = l->head;
l->head->prev = n;
l->head = n;
}

//insert new node at last
void insert_at_tail(linked_list *l, node *n) {
node *temp = l->head;

while(temp->next != NULL) {
temp = temp->next;
}

temp->next = n;
n->prev = temp;
}

//function to insert a node after a node
void insert_after(node *n, node *a) {
n->next = a->next;
a->next->prev = n;
a->next = n;
n->prev = a;
}

//function to delete
void del(linked_list *l, node *a) {
if(a->prev != NULL) { //node is not head
a->prev->next = a->next;
}
else { //node a is head
l->head = a->next;
}

if(a->next != NULL) {
a->next->prev = a->prev;
}
free(a);
}

void deleteNodesWithLogic(linked_list *l) {
struct node buckets[100];
int index = 0;

node *temp = l->head; //temporary pointer to point to head
while(temp != NULL) { //iterating over linked list
int p = temp->prev == NULL ? 0 : temp->prev->data;
int pp;
if (temp->prev == NULL) {
pp = 0;
} else {
pp = temp->prev->prev == NULL ? 0 : temp->prev->prev->data;
}

int sum = p+pp;

if(temp->data > sum) {
buckets[index] = *temp;
index++;
}
temp = temp->next;
}


for(int i = 0; i < (sizeof(buckets)/sizeof(node)); i++) {
del(l,&buckets[i]);
}
}


int main() {
linked_list *l = new_linked_list(10);

node *a, *b, *c; //new nodes to insert in linekd list
a = new_node(20);
b = new_node(50);
c = new_node(60);

l->head->next = a;
a->next = b;
b->next = c;

traversal(l);
deleteNodesWithLogic(l);
traversal(l);
return 0;
}
     
 
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