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I have an undirected graph where each vertex is given some items from a set of items. My goal is to find the lowest cost path from my source vertex to destination vertex while collecting all such items.

The added constraint is that I may split my path once at a node once to collect items from some other path and reach my destination some other way and the total cost would be the minimum of the two paths.

I have been stuck at this for days now and can't seem to figure out an algorithm to solve this..

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    $\begingroup$ Please edit the question to give one or more examples. The more detail, the better in general. $\endgroup$
    – John L.
    Commented May 17, 2020 at 11:49
  • $\begingroup$ Please edit the question to add a reference to the original source. Or explain the background about why you formulated this problem. $\endgroup$
    – John L.
    Commented May 17, 2020 at 18:01

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