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Solve tree and DP problems

Last updated: Apr 12, 2026

Quick Overview

This pair of problems evaluates proficiency with tree data structures and traversal concepts (deepest shared ancestor) and with dynamic programming/state optimization on linear arrays (maximizing non-adjacent house values), assessing algorithmic reasoning, complexity awareness, and data-structure manipulation.

  • medium
  • Amazon
  • Coding & Algorithms
  • Software Engineer

Solve tree and DP problems

Company: Amazon

Role: Software Engineer

Category: Coding & Algorithms

Difficulty: medium

Interview Round: Technical Screen

This coding round contained two algorithm questions: 1. **Deepest shared ancestor in a binary tree** You are given the root of a binary tree and two distinct nodes `p` and `q` that both exist in the tree. Return the deepest node that is an ancestor of both `p` and `q`. A node may be considered an ancestor of itself. 2. **Maximize money from non-adjacent houses** You are given an integer array `money` where `money[i]` is the amount of money stored in the `i`th house on a street. You may not take money from two adjacent houses on the same night. Return the maximum total amount you can collect.

Quick Answer: This pair of problems evaluates proficiency with tree data structures and traversal concepts (deepest shared ancestor) and with dynamic programming/state optimization on linear arrays (maximizing non-adjacent house values), assessing algorithmic reasoning, complexity awareness, and data-structure manipulation.

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Amazon logo
Amazon
Oct 24, 2025, 12:00 AM
Software Engineer
Technical Screen
Coding & Algorithms
4
0

This coding round contained two algorithm questions:

  1. Deepest shared ancestor in a binary tree
    You are given the root of a binary tree and two distinct nodes p and q that both exist in the tree. Return the deepest node that is an ancestor of both p and q . A node may be considered an ancestor of itself.
  2. Maximize money from non-adjacent houses
    You are given an integer array money where money[i] is the amount of money stored in the i th house on a street. You may not take money from two adjacent houses on the same night. Return the maximum total amount you can collect.

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