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    This tutorial problem Tower 3-coloring is educational. www.afterdarkla.com We all know the importance of maths in our education system. All the doubts can be discussed here and hence can be solved. I loved the site very much.

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    Hint:-

    Here total number of possibilities are 3(3N).

    M = 109+7.
    To calculate (ab)%M and we know b can be very large(3N) .
    Using Fermat's little theorem (a(M-1))%M = 1, first we will do b=b%(M-1) and then calculate (ab)%M by using fast exponentiation.
    References :-
    1. Codechef Discussion
    2. Geeksforgeeks

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