Leetcode Problem 2065. Maximum Path Quality of a Graph

2065. Maximum Path Quality of a Graph

Leetcode Solutions

Depth-First Search (DFS) with Backtracking

  1. Create a graph representation from the edges list.
  2. Initialize a variable maxQuality to keep track of the maximum quality found.
  3. Start DFS from node 0 with initial quality equal to the value of node 0 and a set containing node 0.
  4. In each step of DFS: a. If the current node is 0 and not the starting point, update maxQuality if the current quality is higher. b. If the remaining time is non-negative, iterate over all adjacent nodes. c. For each adjacent node, if visiting it does not exceed maxTime, continue DFS with updated time and quality. d. If the adjacent node has not been visited before, add its value to the quality.
  5. After exploring all paths from the current node, backtrack to explore other possibilities.
  6. Return maxQuality as the result.
UML Thumbnail

Iterative Depth-First Search (DFS) with State Tracking

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