Could u guys provide me a way to turn an undirected graph into directed graph by giving the directions for the egdes so the new graph is directed and doesn’t have any cycles
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https://codeforces.me/blog/entry/68138 The blog is probably what you are looking for.
It's an amazing blog btw, i readed it a few weeks ago and learned a lot.
Probably the simplest way is to direct each edge from the lower-valued node to the higher-valued node. There can't be any cycles because a cycle would imply that it's possible to get from a higher-valued node to a lower-valued one, but none of the edges are going to do that for you. Super dry solution, but it works :D