Leetcode Problem 2872. Maximum Number of K-Divisible Components

2872. Maximum Number of K-Divisible Components

Leetcode Solutions

DFS to Find Subtrees with Sum Divisible by k

  1. Initialize a visited array to keep track of visited nodes during DFS.
  2. Create a graph representation from the given edges.
  3. Define a recursive DFS function that:
    • Marks the current node as visited.
    • Initializes the subtree sum with the current node's value.
    • Iterates over the neighbors of the current node.
    • For each unvisited neighbor, recursively call DFS and add the returned sum to the current subtree sum.
    • If the neighbor's subtree sum is divisible by k, increment the count of valid components.
    • Otherwise, add the neighbor's subtree sum to the current subtree sum.
  4. Call the DFS function starting from the root node (0).
  5. Return the count of valid components plus one (for the initial tree).
UML Thumbnail

Prefix Sum and DFS for Tree Splitting

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