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DSA · Theory

Splay Tree

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Theory

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Splay Tree

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

Keep Splay Tree small. Zara should finish folder on disk in a few lines, not a 40-line dump.

Skip Splay Tree and unbalanced BST becoming a list shows up in a file explorer.

Zara ships Splay Tree in a file explorer. That is the use case worth saying.

Splay Tree miss — unbalanced BST becoming a list. Fix it before you talk about advanced DSA.

Splay Tree is not a lonely heading. Zara ties it to folder on disk.

Close Splay Tree with — “If I skip it, folder on disk goes wrong like this: unbalanced BST becoming a list.”

Exam tip

Say Splay Tree in one breath, then left < root < right, then unbalanced BST becoming a list.

Example

# Splay 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)

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

Short notes

  • DefSplay Tree — Zara uses it for folder on disk in a file explorer.
  • RuleSplay Tree → left < root < right.
  • RememberSplay Tree + a dry-run table (a file explorer).
  • UseSplay Tree in a file explorer (folder on disk).
  • TrapSplay Tree — unbalanced BST becoming a list.
  • ExSplay Tree → folder on disk.

Questions

1

What is Splay Tree? Teach it with folder on disk.

2

When would Zara actually reach for Splay Tree?

3

Which mistake makes folder on disk fail?

4

Write the smallest Splay Tree step on folder on disk. What happens?

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