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DSA · Theory

B+ Tree Insertion

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Theory

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B+ Tree Insertion

B+ Tree Insertion (plus) is simple if you keep it on paper. Amit uses it for folder on disk in a file explorer.

B+ Tree Insertion (plus) on the board — left < root < right. Then say what folder on disk looks like after.

B+ Tree Insertion (plus) exists so Amit can keep folder on disk correct in a file explorer.

Amit ships B+ Tree Insertion (plus) in a file explorer. That is the use case worth saying.

Don’t do this with B+ Tree Insertion (plus): unbalanced BST becoming a list. Interviewers spot it in ten seconds.

Place B+ Tree Insertion (plus) next to nearby DSA work — left < root < right is the link.

Close B+ Tree Insertion (plus) with: “If I skip it, folder on disk goes wrong like this: unbalanced BST becoming a list.”

Exam tip

Board: folder on disk. Dry-run B+ Tree Insertion (plus). Name the trap: unbalanced BST becoming a list.

Example

# B+ Tree Insertion
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)

B+ Tree Insertion (plus) — Dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefB+ Tree Insertion (plus) — Amit uses it for folder on disk in a file explorer.
  • RuleB+ Tree Insertion (plus) → left < root < right.
  • RememberB+ Tree Insertion (plus) + a dry-run table (a file explorer).
  • UseB+ Tree Insertion (plus) in a file explorer (folder on disk).
  • TrapB+ Tree Insertion (plus) — unbalanced BST becoming a list.
  • ExB+ Tree Insertion (plus) → folder on disk.

Questions

1

Amit asks: why does B+ Tree Insertion (plus) exist? Use folder on disk.

2

If you skip B+ Tree Insertion (plus), what breaks in a file explorer?

3

How do you catch unbalanced BST becoming a list?

4

Write the smallest B+ Tree Insertion (plus) step on folder on disk. What happens?

Previous← B+ Tree DeletionNextChecking for the Mirror Images in the Binary Trees →
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