Leetcode Problem 2050. Parallel Courses III

2050. Parallel Courses III

Leetcode Solutions

Topological Sort and Dynamic Programming

  1. Create a graph to represent the courses and their prerequisites.
  2. Initialize an array indegree to keep track of the number of prerequisites for each course.
  3. Initialize an array maxTime to keep track of the minimum time needed to complete each course.
  4. Use a queue to perform a topological sort. Start by adding all courses with zero indegree to the queue.
  5. While the queue is not empty: a. Dequeue a course u. b. For each neighbor v (course that has u as a prerequisite): i. Update maxTime[v] to be the maximum of its current value and maxTime[u] + time[v-1]. ii. Decrement the indegree of v. iii. If the indegree of v becomes zero, enqueue v.
  6. After processing all courses, return the maximum value in maxTime as the result.
UML Thumbnail

DFS + Memoization (Top-Down DP)

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