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Leetcode Problem 1617. Count Subtrees With Max Distance Between Cities

1617. Count Subtrees With Max Distance Between Cities

Leetcode Solutions

Bitmask + Floyd Warshall

  1. Initialize a matrix g with size n x n to represent the graph, setting the distance between each pair of nodes to a large number (e.g., 999) except for the distance between directly connected nodes, which is set to 1.
  2. Apply the Floyd Warshall algorithm to compute the shortest paths between all pairs of nodes.
  3. Initialize an array ans to store the count of subtrees for each possible diameter.
  4. Use a loop to iterate through all possible subsets of nodes using a bitmask.
  5. For each subset, count the number of edges and calculate the maximum distance between any two nodes in the subset.
  6. If the subset forms a valid subtree, increment the count for the corresponding diameter in the ans array.
  7. Return the ans array.
UML Thumbnail

Bitmask + DFS for Each Subset

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