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DSA · Theory

Van Emde Boas Tree

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Theory

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Van Emde Boas Tree

If you can teach Van Emde Boas Tree using folder on disk, you know it. If you only know the heading, you don’t.

Van Emde Boas Tree on the board — left < root < right. Then say what folder on disk looks like after.

Without Van Emde Boas Tree, a file explorer gets messy and folder on disk is hard to trust.

Use Van Emde Boas Tree when folder on disk must stay clear. If a simpler DSA step works, use that instead.

If folder on disk breaks under Van Emde Boas Tree, check unbalanced BST becoming a list first.

Place Van Emde Boas Tree next to nearby DSA work — left < root < right is the link.

Viva for Van Emde Boas Tree — what it is → left < root < right → the mistake (unbalanced BST becoming a list).

Exam tip

For Van Emde Boas Tree: definition + a file explorer + one failure.

Example

# Van Emde Boas Tree
data = [4, 1, 3]
print("start", data)
if data[0] > data[1]:
    data[0], data[1] = data[1], data[0]
print("after one step", data)

Van Emde Boas Tree: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefVan Emde Boas Tree — Meera uses it for folder on disk in a file explorer.
  • RuleVan Emde Boas Tree → left < root < right.
  • RememberVan Emde Boas Tree + time vs memory (a file explorer).
  • UseVan Emde Boas Tree in a file explorer (folder on disk).
  • TrapVan Emde Boas Tree — unbalanced BST becoming a list.
  • ExVan Emde Boas Tree → folder on disk.

Questions

1

Meera asks: why does Van Emde Boas Tree exist? Use folder on disk.

2

Where does Van Emde Boas Tree show up in a file explorer?

3

Which mistake makes folder on disk fail?

4

Write the smallest Van Emde Boas Tree step on folder on disk. What happens?

Previous← Remove extra edge from a BSTNextWhich Minimum Spanning Tree Algorithm is better →
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