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Q. Write an algorithm INSERT which takes a pointer to a sorted list and a pointer to a node and inserts the node into its correct position or place in the list.
Ans:
/* structure containing the data part and link part */
struct node
{
int data ;
struct node *link ;
} ;
/* Following the inserts node to an ascending order linked list
*/
void INSERT ( struct node **q, int num )
struct node *r, *temp = *q ;
r = malloc ( sizeof ( struct node ) ) ;
r -> data = num ;
/* if list is empty or if new node is to be inserted before the first node */
if ( *q == NULL || ( *q ) -> data > num )
*q = r ;
( *q ) -> link = temp ;
}
else
/* traverse the entire linked list to search or found the position to insert the
new node */
while ( temp != NULL )
if ( temp -> data <= num && ( temp -> link -> data > num ||
temp -> link == NULL ))
r -> link = temp -> link ;
temp -> link = r ;
return ;
temp = temp -> link ; /* go to the next node */ }
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Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1) = O (n), which indicates that the time complexity is linear. Worst Case:
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