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I need a function which, given a graph, returns the graph diameter as an integer.

I need another function which, given a graph, uses a faster but approximate method to return the graph diameter as an integer.

I need a third function which, given a graph, returns the graph radius as an integer.

All three of these functions have an identical type signature.

Oh, now I need something which takes a regex pattern string and a haystack string, and returns 1 if the pattern is found in the haystack, otherwise 0.

And the regex "|" pattern must match longest first, not left-right.

And it needs to support "verbose" mode, which allows comments.

And it supports backreference matches.

How do you express that type?

Now I need to numerically integrate some arbitrary function "f" in the range 0.0 to 1.0. Which of the many numeric integration methods should I use which prevents runtime issues like being unable to converge?



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