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A program has runtime proportional to (log n)7 where n is the input size. Suppose we...

A program has runtime proportional to (log n)7 where n is the input size. Suppose we run the program with input size 10 and the runtime is 35 ms. What will the new  runtime be in seconds when we increase the input size to ten billion?.

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Answer #1

Runtime of a program proportional to (logn)7 where n is the input size

considering base 10

Given Input Size n is 10 and Runtime is 35 ms

when we increase input n to 10 billion(1010)

We calculated Constant K=0.035 and Given input n=1010

When we increase the input to 10 billion run time is 350000 seconds

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