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DSA · Theory

Red-black tree

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Theory

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Red-black tree

Asha only reaches for Red-black tree when folder on disk has to stay correct in a file explorer.

Do Red-black tree once by hand. left < root < right. Change one input. Say the new result out loud.

Red-black tree exists so Asha can keep folder on disk correct in a file explorer.

Red-black tree shows up in a file explorer. Name folder on disk, not “a real-world scenario”.

If folder on disk breaks under Red-black tree, check unbalanced BST becoming a list first.

After Red-black tree, Asha should still remember unbalanced BST becoming a list.

One breath for Red-black tree, then folder on disk, then unbalanced BST becoming a list. Sit down.

Exam tip

For Red-black tree: definition + a file explorer + one failure.

Example

# Red-black 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)

Red-black tree: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefRed-black tree — Asha uses it for folder on disk in a file explorer.
  • RuleRed-black tree → left < root < right.
  • RememberRed-black tree + Big-O (a file explorer).
  • UseRed-black tree in a file explorer (folder on disk).
  • TrapRed-black tree — unbalanced BST becoming a list.
  • ExRed-black tree → folder on disk.

Questions

1

What is Red-black tree? Teach it with folder on disk.

2

Name one DSA screen/job that needs Red-black tree.

3

What trap does Asha hit with Red-black tree?

4

Write the smallest Red-black tree step on folder on disk. What happens?

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