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Consider the following algorithm for doing a postorder traversal of a binary tree with root vertex root Algorithm 1 Postorder Traversal POSTORDER(root) l if root

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Consider the following algorithm for doing a postorder traversal of a binary tree with root vertex root Algorithm 1 Postorder Traversal POSTORDER(root) l if root null 2 POSTORDER(root.left) 3 POSTORDER(root.right) visit root; Prove that this algorithm runs in time (n) when the input is an n-vertex binary tree

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