Browse Curriculum
Breadth-First Search
Medium

Level Order Sum / Averages

Calculate the sum or average of nodes at each level.

Problem Understanding

Given a binary tree, we often need to aggregate data per level.

  • Goal: Calculate the Sum (or Average, or Max) of all node values for each individual level.
  • Example: Root 1 (Sum 1). Children 2, 3 (Sum 5). Grandchildren 4, 5, 6 (Sum 15).

Algorithm Strategy

We use standard BFS with a Queue.

  1. Level Loop: Maintain a size variable level_size = queue.length.
  2. Accumulator: Inside the level processing loop, reset a current_level_sum = 0.
  3. Process: As we dequeue nodes, add node.val to current_level_sum.
  4. Result: After the inner loop finishes (level complete), store or compare the sum.

Interactive Visualization

Step 1 / 1
Empty Heap

Initializing...

1x

Watch the accumulator grow as we traverse each level.

Stop Guessing, Start Mastering.

Build the FAANG intuition. Master this pattern with optimized implementations, visual dry runs, and our curated collection of high-yield problems.