Leetcode Problem 2378. Choose Edges to Maximize Score in a Tree

2378. Choose Edges to Maximize Score in a Tree

Leetcode Solutions

Dynamic Programming on Trees

  1. Define a recursive function dfs that takes the current node index as an argument.
  2. Initialize two variables, take and not_take, to store the maximum sum including or excluding the edge to the current node.
  3. Iterate over all children of the current node. a. For each child, recursively call dfs to get the take and not_take values for the child. b. Add the maximum of the child's take and not_take to the current node's not_take. c. Update the current node's take with the maximum of the current take and the sum of the child's not_take plus the weight of the edge to that child.
  4. After processing all children, add the current node's not_take to its take to get the total maximum sum if we choose an edge from this node.
  5. Return the take and not_take values for the current node.
  6. Call dfs on the root node and return the maximum of the take and not_take values obtained.
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Pre-Order Traversal with Memoization

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