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Implement a function to check if a tree is balanced. For the purposes of this question, a balanced tree is defined to be a tree such that no two leaf nodes differ in distance from the root by more than one.
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Given a directed graph, design an algorithm to find out whether there is a route between two nodes.
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Given a sorted (increasing order) array, write an algorithm to create a binary tree with minimal height.
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Given a binary search tree, design an algorithm which creates a linked list of all the nodes at each depth (i.e., if you have a tree with depth D, you’ll have D linked lists).
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Write an algorithm to find the
‘next’node (i.e., in-order successor) of a given node in a binary search tree where each node has a link to its parent. -
Design an algorithm and write code to find the first common ancestor of two nodes in a binary tree. Avoid storing additional nodes in a data structure. NOTE: This is not necessarily a binary search tree.
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You have two very large binary trees: T1, with millions of nodes, and T2, with hun- dreds of nodes. Create an algorithm to decide if T2 is a subtree of T1.
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You are given a binary tree in which each node contains a value. Design an algorithm to print all paths which sum up to that value. Note that it can be any path in the tree - it does not have to start at the root.