Longest Path | Dynamic Programming

Given a directed acyclic graph(DAG) compute the longest path that the graph contains. For the purposes of this question, a path is defined by the edges and the input graph is in the form of a list of lists where the list at index i in the array represents each of the connections formed by node i. The number of nodes is guaranteed to not exceed 100000.

Example:

Input:

Output: 2

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  >>> a = [1, 2, 3]
  >>> a[-1]
  3

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