Design an o(v+e) time algorithm that computes

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given a directed acyclic graph G(V, E) such that the vertices of G correspond to tasks. If there is an edge from one task to another, that task is a prerequisite for the other task. Design an O(V+E) time algorithm that computes the smallest number of batches required to complete all tasks. A task can be assigned to a batch i if and only if all tasks that are its prerequisites have already been assigned to batches 1 to (i-1).

Reference no: EM13167031

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