mediumRecursionPattern: Mixed
Max Height Calculation Solution
Problem Statement
Given a tree structure represented as a dictionary where each key is a node identifier and its corresponding value is a list of its child nodes, calculate the maximum height of the tree using recursion.
Constraints
- Each system has a unique identifier.
- The input graph is a tree (no cycles).
- The maximum number of systems is 100.
Time: O(n) Space: O(h)
The optimal approach utilizes recursion to calculate the maximum height of the galaxy, where each system's height is determined by the maximum height of its orbiting systems plus one, leading to a time complexity of O(n).
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