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Need help in task scheduling problem. Please help!
By yesnomaybe, history, 4 years ago, In English

Need help in solving the following Codechef problem :

https://discussed.codechef.com/questions/95355/task-scheduling-problem-or-graph-problem-need-help?sort=oldest

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4 years ago, # |
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You can interpret the tasks as nodes in a graph. There is a directed edge (because of the index restriction) $$$v \rightarrow u$$$ if $$$u$$$ can be completed immediately after $$$v$$$. Since there are $$$10^3$$$ tasks, the maximum number of edges is around $$$10^6$$$, which is fine.

The problem can be understood as "choosing the minimum number of directed paths such that you visit each vertex exactly once". I have seen this problem here and the only editorial I know of is this YouTube video.

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