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Consider the following algorithm for doing a postorder traversal of a binary tree with root vertex root. Postorder(root) if root != null then Postorder(root.left); Postorder(root.right);

Consider the following algorithm for doing a postorder traversal of a binary tree with root vertex root.

Postorder(root)

if root != null then

Postorder(root.left);

Postorder(root.right);

visit root;

end if;

Prove that this algorithm runs in time (n) when the input is an n-vertex binary tree.

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