Double Tree

PROBLEM :

Write a program that converts a given tree to its Double tree. To create Double tree of the given tree, create a new duplicate for each node, and insert the duplicate as the left child of the original node.

So the tree…

    2
   / \
  1   3
is changed to…

       2
      / \
     2   3
    /   /
   1   3
  /
 1
And the tree

            1
          /   \
        2      3
      /  \
    4     5
is changed to

               1
             /   \
           1      3
          /      /
        2       3
      /  \
     2    5
    /    /
   4   5
  /  
 4  

--------------------------------------------------------------------------------
SIMPLE c++ IMPLEMENTATION :
--------------------------------------------------------------------------------
/*
typedef struct BST
{
int info ;
struct BST *left ;
struct BST *right ;
}tree ;------------------------------*/

void double_tree(tree *root)
{
if(root==NULL)
return ;

double_tree(root->left) ;
double_tree(root->right) ;

tree *old_left,*node ;

old_left=root->left ;
node=(tree*)malloc(sizeof(tree)) ;
node->info=root->info ;
node->left=NULL ;
node->right=NULL ;

root->left=node ;
node->left=old_left ;
}

---------------------------------------------------------------------------------

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