Leetcode Problem 2467. Most Profitable Path in a Tree

2467. Most Profitable Path in a Tree

Leetcode Solutions

DFS + Backtracking

  1. Construct an adjacency list from the given edges to represent the tree.
  2. Perform a DFS to find Bob's path to the root node and store it.
  3. Initialize a variable to keep track of the maximum net income.
  4. Perform a DFS for Alice starting from the root node, at each step:
    • If Bob has visited the node, set the gate cost to 0.
    • If Alice and Bob are at the same node, split the gate cost/reward.
    • Add the gate cost/reward to Alice's current net income.
    • If a leaf node is reached, update the maximum net income if it's higher than the current maximum.
    • Backtrack to explore other paths from the current node.
  5. Return the maximum net income found.
UML Thumbnail

BFS + Greedy Approach

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