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For preorder traversal, in the worst case, the stack will rise to size n/2, where n refer to number of nodes in the tree. Another method of traversing binary tree non-recursively that does not employ stack requires pointers to the parent node (called threaded binary tree).
A threaded binary tree is a binary tree wherein every node which does not have a right child has a THREAD (a third link) to its INORDER successor. By doing this threading we ignore the recursive method of traversing a tree and employ of stack, that makes use of many memory and time.
A node structure of threaded binary is following :
For a threaded binary tree the node structure varies a bit and its like this -
struct NODE *leftchild;
int node_value;
struct NODE *rightchild;
struct NODE *thread; /* third pointer to its inorder successor */
}
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This method is the reverse of FIFO and assumes that each issue of stock is made from latest items received in the enterprises .Thus if the last lot to be received is not sufficient
[(a+b)/(c+d)^(e+f)]+(g+h)/i
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