Question: Suppose a program takes 8 milliseconds to process input of size 1000. If the runtime is proportional to T(n) = n 3 , where n

Suppose a program takes 8 milliseconds to process input of size 1000. If the runtime is proportional to T(n) = n3, where n is the input size, how long will the program take to process input of size ...

a) 2000? ____________

b) 10,000? ______________

c) 500? _______________

In each case justify your answer using a rule of thumb.

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