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In Java what is a free tree, a rooted tree, an ordered tree, and a binary tree? What additional requirement(s) make a binary tree into

In Java what is a free tree, a rooted tree, an ordered tree, and a binary tree? What additional requirement(s) make a binary tree into a binary search tree? If given a binary tree with N nodes, what is the deepest it could be? The shallowest?

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