What you explained is the property of Treap data structure . You can
have a look at wiki [ http://en.wikipedia.org/wiki/Treap ] or you can
search google for treap.

On Jun 8, 8:15 pm, Akshata Sharma <[email protected]> wrote:
> A rooted binary tree with keys in its nodes has the binary search tree
> property (BST property) if, for every node, the keys in its left
> subtree are smaller than its own key, and the keys in its right
> subtree are larger than its own key. It has the heap property if, for
> every node, the keys of its children are all smaller than its own key.
> You are given a set of n binary tree nodes that each contain an
> integer i and an integer j. No two i values are equal and no two j
> values are equal. We must assemble the nodes into a single binary tree
> where the i values obey the BST property and the j values obey the
> heap property. If you pay attention only to the second key in each
> node, the tree looks like a heap, and if you pay attention only to the
> first key in each node, it looks like a binary search tree.Describe a
> recursive algorithm for assembling such a tree

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