Tejav
#3373

Maximize the Number of Target Nodes After Connecting Trees II

Hard
TreeDepth-First SearchBreadth-First SearchTree TraversalDynamic Programming
LeetCode ↗

Approaches

Brute ForceOptimal
Complexity Comparison
Brute ForceOptimal Solution★
Time
O(n²)
O(n)
Space
O(1)
O(n)
💡

Intuition

Time O(n)Space O(n)

Calculate even and odd node counts for both trees, then use these counts to determine the maximum target nodes for each node in the first tree efficiently.

⚙️

Algorithm

3 steps
  1. 1Step 1: Perform DFS on the first tree to calculate even and odd node counts for each node.
  2. 2Step 2: Perform DFS on the second tree to calculate even and odd node counts for each node.
  3. 3Step 3: For each node in the first tree, compute the maximum target nodes using the counts from the second tree.
solution.py3 lines
1def maxTargetNodesOptimal(edges1, edges2):
2    # Implementation omitted for brevity
3    pass
ℹ

Complexity note: DFS traversals for both trees run in linear time, and counting nodes is done in constant time for each query.

  • 1Understanding even/odd distance relationships is crucial.
  • 2DFS is effective for tree traversal and counting.

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