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The left spine of the binary tree is a path starting at root and following only left-child pointers down to a leaf. State the expected number of nodes in left spine of an n-node treap.
a) What is the expected number of leaves in an n-node treap?
b) Prove that expected number of the proper descendants of any node in the treap is exactly equal to expected depth of that node.
Binary search tree, and postorder and preorder traversal Determine the shortest path in Graph
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