Sorry but I don't know how to deal big number.
Here's another CODY problem that deals with something similar:
DNA N-Gram Distribution
Project Euler: Problem 5, Smallest multiple
Back to basics 17 - white space
Find perfect placement of non-rotating dominoes (easier)
Next Lower Power of B
Unique dice configurations
A (wrong) place for everything, and everything in its (wrong) place
With apologies to William Blake
A matrix of extroverts
Muphry's Law of MATLAB
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