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What is the Time Complexity of the DFS Approach?

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The time complexity of the Depth-First Search (DFS) approach for finding the right view of a binary tree depends on the implementation and the traversal strategy used.

  1. Preorder DFS:

    • In a preorder DFS traversal, you visit the current node, then recursively visit its left child, and finally recursively visit its right child.
    • The time complexity of preorder DFS for a binary tree with n nodes is O(n), as each node is visited exactly once.
  2. Inorder DFS:

    • In an inorder DFS traversal, you recursively visit the left child, then visit the current node, and finally recursively visit the right child.
    • The time complexity of inorder DFS for a binary tree with n nodes is O(n), as each node is visited exactly once.
  3. Postorder DFS:

    • In a postorder DFS traversal, you recursively visit the left child, then recursively visit the right child, and finally visit the current node.
    • The time complexity of postorder DFS for a binary tree with n nodes is O(n), as each node is visited exactly once.

Since all three DFS traversal strategies visit each node exactly once, the time complexity of finding the right view of a binary tree using any of these DFS approaches is O(n), where n is the number of nodes in the binary tree.

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