Compute tree depth and meeting rooms
Coding Challenge: Tree Depth and Meeting Rooms
This challenge consists of two independent coding problems designed to assess your algorithmic problem-solving skills, understanding of data structures, and ability to handle performance constraints.
Problem 1: Maximum Depth of a Binary Tree
Given the root of a binary tree, your task is to return its maximum depth. The maximum depth is defined as the number of nodes along the longest path from the root node down to the farthest leaf node.
Assumptions:
- If the tree is empty (i.e.,
rootis null), the maximum depth should be0. - The binary tree can be highly unbalanced, potentially resembling a linked list.
- The number of nodes in the tree can be up to
100,000. You should consider potential recursion-depth limitations depending on your chosen programming language.
Example:
Input tree (represented as a level-order traversal): 3, 9, 20, null, null, 15, 7
Output: 3
Problem 2: Minimum Meeting Rooms
Given an array of meeting time intervals, where each interval is represented as [start, end), determine the minimum number of conference rooms required to accommodate all meetings without any conflicts.
Assumptions:
- For every given interval
[start, end), it is guaranteed thatstart < end. - All
startandendtimes are integers. - Intervals are half-open, meaning a meeting ending at time
10does not conflict with another meeting starting at time10(i.e.,[5, 10)and[10, 15)can use the same room). - The number of intervals can be up to
100,000.
Example 1:
Input: [[0, 30], [5, 10], [15, 20]]
Output: 2
Example 2:
Input: [[7, 10], [10, 12]]
Output: 1
AI interview prep
Core dilemma
Demonstrating robust algorithmic problem-solving skills across different paradigms (tree traversal, greedy interval scheduling) while optimizing for time/space complexity and handling practical constraints like recursion depth.
2 tradeoffs and 2 stress tests locked
Interview prep
Unlock the interviewer X-Ray rubric, tradeoff matrix, stress tests, clarifying questions, and key concepts.
Compute tree depth and meeting rooms
Coding Challenge: Tree Depth and Meeting Rooms
This challenge consists of two independent coding problems designed to assess your algorithmic problem-solving skills, understanding of data structures, and ability to handle performance constraints.
Problem 1: Maximum Depth of a Binary Tree
Given the root of a binary tree, your task is to return its maximum depth. The maximum depth is defined as the number of nodes along the longest path from the root node down to the farthest leaf node.
Assumptions:
- If the tree is empty (i.e.,
rootis null), the maximum depth should be0. - The binary tree can be highly unbalanced, potentially resembling a linked list.
- The number of nodes in the tree can be up to
100,000. You should consider potential recursion-depth limitations depending on your chosen programming language.
Example:
Input tree (represented as a level-order traversal): 3, 9, 20, null, null, 15, 7
Output: 3
Problem 2: Minimum Meeting Rooms
Given an array of meeting time intervals, where each interval is represented as [start, end), determine the minimum number of conference rooms required to accommodate all meetings without any conflicts.
Assumptions:
- For every given interval
[start, end), it is guaranteed thatstart < end. - All
startandendtimes are integers. - Intervals are half-open, meaning a meeting ending at time
10does not conflict with another meeting starting at time10(i.e.,[5, 10)and[10, 15)can use the same room). - The number of intervals can be up to
100,000.
Example 1:
Input: [[0, 30], [5, 10], [15, 20]]
Output: 2
Example 2:
Input: [[7, 10], [10, 12]]
Output: 1