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Comparison of running times For each function f(n) and time t in the following table, dete...

Comparison of running times

For each function f(n) and time t in the following table, determine the largest size n of a problem that can be solved in time t, assuming that the algorithm to solve the problem takes f(n) microseconds.

 

1

second

1

minute

1

hour

1

day

1

month

1

year

1

century

Ig n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n

 

 

 

 

 

 

 

n lg n

 

 

 

 

 

 

 

n2

 

 

 

 

 

 

 

n3

 

 

 

 

 

 

 

2n

 

 

 

 

 

 

 

n!

 

 

 

 

 

 

 

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