> With a little tricky maths, it's possible to calculate "the number of
> Hamiltonian cycles that use set S of forbidden edges". Using inclusion-
> exclusion we can combine these values to get "the number of
> Hamiltonian cycles that use any forbidden edges".
>
> http://en.wikipedia.org/wiki/Inclusion-exclusion_principle
>
> Glancing at the first few submissions on the scoreboard, this seems to
> be the general approach that people took.
>

Yes. I had figured out that inclusion-exclusion principle was required
to solve. The only thing i had difficulty in what you are referring to
little mathematical trick. Turns out that the little trick is always
the hardest part to think of while solving a problem. :)

Anyway, i have now figured out the approach and have successfully
written a working solution.

Thanks for your help.

regards,
Rajat.
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