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DSA · Theory

Binary indexed tree

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Theory

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Binary indexed tree

Binary indexed tree sits in a file explorer. Arun’s job is folder on disk. Write that first.

Do Binary indexed tree once by hand. left < root < right. Change one input. Say the new result out loud.

Skip Binary indexed tree and unbalanced BST becoming a list shows up in a file explorer.

Arun ships Binary indexed tree in a file explorer. That is the use case worth saying.

Binary indexed tree miss — unbalanced BST becoming a list. Fix it before you talk about advanced DSA.

Place Binary indexed tree next to nearby DSA work — left < root < right is the link.

Close Binary indexed tree 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 Binary indexed tree. Name the trap: unbalanced BST becoming a list.

Example

# Binary indexed 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)

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

Short notes

  • DefBinary indexed tree — Arun uses it for folder on disk in a file explorer.
  • RuleBinary indexed tree → left < root < right.
  • RememberBinary indexed tree + Big-O (a file explorer).
  • UseBinary indexed tree in a file explorer (folder on disk).
  • TrapBinary indexed tree — unbalanced BST becoming a list.
  • ExBinary indexed tree → folder on disk.

Questions

1

Define Binary indexed tree without jargon. Then point at folder on disk.

2

Name one DSA screen/job that needs Binary indexed tree.

3

Viva: one wrong answer people give for Binary indexed tree.

4

Change one input on folder on disk. Predict the new result.

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