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Minimum Time Path in Tree
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Minimum Time Path in Tree

HardPython

Problem

Minimum time path with tasks: in an unweighted undirected tree, from a start node visit a set of mandatory task nodes in any order and then reach a destination in minimum time.

Asked in the OA stage. Implement min_time(n, edges, start, tasks, destination), where nodes are 0 through n - 1, edges contains the tree edges, and tasks is a list of required nodes. Return the minimum number of edges traversed.

Example: n = 5, edges = [[0,1],[1,2],[1,3],[3,4]], start = 2, tasks = [4], destination = 0 returns 6, because the required subtree has four edges and the start-to-destination path is traversed once.

Constraints: 1 <= n <= 5000; edges has n - 1 pairs; the graph is a connected tree; node IDs are valid; tasks contains no duplicates.

Constraints

  • 1 <= n <= 5000
  • 0 <= start, destination < n
  • 0 <= len(tasks) <= n
  • tasks contains no duplicate node IDs
  • edges contains exactly n - 1 pairs
  • The graph is a connected, undirected tree

Function Signature

def min_time(n, edges, start, tasks, destination):
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