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DSA · Theory

Two dimensional Binary Indexed Tree or Fenwick Tree

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Theory

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Two dimensional Binary Indexed Tree or Fenwick Tree

Two dimensional Binary Indexed Tree or Fenwick Tree is a DSA topic. In plain words you use it for folder on disk in a file explorer. Don’t start with a slogan — start with that picture.

Smallest example: left < root < right. Type it, run it, and say what you see. If you can do that from memory, you know Two dimensional Binary Indexed Tree or Fenwick Tree.

From the example next to this theory — Two dimensional Binary Indexed Tree or Fenwick Tree: dry-run [4, 1, 3].

Trap — unbalanced BST becoming a list. Fix that before you talk about advanced DSA.

Viva — what is Two dimensional Binary Indexed Tree or Fenwick Tree? Then show left < root < right. Then name the trap.

Exam tip

What is Two dimensional Binary Indexed Tree or Fenwick Tree? Show this: left < root < right. Trap: unbalanced BST becoming a list.

Example

# Two dimensional Binary Indexed Tree or Fenwick 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)

Two dimensional Binary Indexed Tree or Fenwick Tree: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefTwo dimensional Binary Indexed Tree or Fenwick Tree — folder on disk in a file explorer.
  • Ruleleft < root < right
  • Trapunbalanced BST becoming a list
  • Usea file explorer

Questions

1

What is Two dimensional Binary Indexed Tree or Fenwick Tree?

2

Give one small example of Two dimensional Binary Indexed Tree or Fenwick Tree.

3

What mistake do beginners make with Two dimensional Binary Indexed Tree or Fenwick Tree?

4

Where do you use Two dimensional Binary Indexed Tree or Fenwick Tree?

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