Dynamic Programming problems with an additional condition besides the value that must be calculated?

You are right to say that Dijkstra's algorithm works only in some cases, because it picks just the edges that cost less, while you have to verify the existence of two conditions.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.