Answer Posted / abdur rab

#include <stdio.h>
#include <math.h>

struct node {
int element;
struct node* left;
struct node* right;
};


int lookup ( struct node* _node_ptr, int target_element )
{
if ( NULL == _node_ptr ) return ( 0 );
if ( target_element == _node_ptr -> element )
return ( 1 );
else {
if ( target_element < _node_ptr ->
element ) return ( lookup ( _node_ptr -> left,
target_element ) );
else return ( lookup ( _node_ptr -> right,
target_element ) );
}
}

int max_depth ( struct node* _node_ptr )
{
if ( NULL == _node_ptr ) return ( 0 );
else {
int _l_depth = max_depth ( _node_ptr ->
left );
int _r_depth = max_depth ( _node_ptr ->
right );
return ( ( _l_depth > _r_depth ) ? (
_l_depth + 1 ) : ( _r_depth + 1 ) );
}
}

struct node* create_node ( int _element )
{
struct node* _node = ( struct node* ) malloc (
sizeof (struct node) );
_node -> element = _element;
_node -> left = NULL;
_node -> right = NULL;

return ( _node );
}

struct node* insert ( struct node* _node_ptr, int _element )
{
if ( NULL== _node_ptr ) return ( create_node (
_element ) );
else {
if ( _element <= _node_ptr -> element )
_node_ptr -> left = ( insert ( _node_ptr -> left,
_element ) );
else _node_ptr -> right = ( insert (
_node_ptr -> right, _element ) );
}
return ( _node_ptr );
}

void inorder_traversal ( struct node* _node_ptr )
{
if ( NULL == _node_ptr ) return;
inorder_traversal ( _node_ptr -> left );
printf ("\n The element :%d", _node_ptr ->
element );
inorder_traversal ( _node_ptr -> right );
}

void preorder_traversal ( struct node* _node_ptr )
{
if ( NULL == _node_ptr ) return;
printf ("\n The element :%d", _node_ptr ->
element );
preorder_traversal ( _node_ptr -> left );
preorder_traversal ( _node_ptr -> right );
}

void postorder_traversal ( struct node* _node_ptr )
{
if ( NULL == _node_ptr ) return;
postorder_traversal ( _node_ptr -> left );
postorder_traversal ( _node_ptr -> right );
printf ("\n The element :%d", _node_ptr ->
element );
}


int main ( int argc, char* argv[] )
{
int* array_int, nTotalCount = 10, i;
struct node* _node_ptr = NULL;
int temp = 0;

printf ( "\n/********************** Binary Tree
********************/" );
array_int = ( int* ) malloc ( nTotalCount * sizeof
( int ) );

for ( i = 0; i < nTotalCount; i++ )
{
temp = rand() % 100 ;
array_int [i] = ( temp == 0 ) ? ( temp +
1 ) : temp;
}

printf( "\nThe Numbers in given order" );
for ( i = 0; i < nTotalCount; i++ )
printf ( "\t%d", array_int [i] );

for ( i = 0; i < nTotalCount; i++ )
_node_ptr = insert ( _node_ptr, array_int
[i] );

inorder_traversal ( _node_ptr );
printf ("\n max possible nodes :%f", pow ( 2,
max_depth ( _node_ptr ) ) );

free ( array_int [i] );
}

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