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6. (10 points) Given positive integers B,n and M as inputs, design an algorithm to compute the value of (BnmodM) in O(logn) time in the

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6. (10 points) Given positive integers B,n and M as inputs, design an algorithm to compute the value of (BnmodM) in O(logn) time in the worst case. Note that Bp+qmodM=((BpmodM)(BqmodM))modM. You may assume n=2k for an integer k for simplicity

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