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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 */ }
Q. The degree of a node is defined as the number of children it has. Shear show that in any binary tree, the total number of leaves is one more than the number of nodes of degree 2
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