Leetcode Problem 2920. Maximum Points After Collecting Coins From All Nodes

2920. Maximum Points After Collecting Coins From All Nodes

Leetcode Solutions

Dynamic Programming with Tree DFS

  1. Initialize a DP array dp[node][reduce] to store the maximum points for each node with a given number of reductions.
  2. Define a DFS function that takes the current node, its parent, and the number of reductions as parameters.
  3. In the DFS function, check if the result is already computed in the DP array to avoid redundant calculations.
  4. If the number of reductions exceeds 14, return 0 as further reductions will not yield any coins.
  5. Calculate the current coins at the node after applying the reductions.
  6. Explore two ways to collect coins: (a) collect all coins minus k, (b) collect half the coins and apply the halving operation to the subtree.
  7. Recursively call DFS for all child nodes and accumulate points for both ways.
  8. Store the maximum of the two ways in the DP array for the current node and reduction level.
  9. Start the DFS from the root node with zero reductions.
  10. Return the value stored in dp[0][0] as the final result.
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Tree Traversal with Greedy Choice

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