For each of the following functions f(n), 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) milliseconds.

Solve for time t of 1 sec, 1 min, 1 hour, 1 day, and 1 year.

1) lg₂n

2)

3) n*lg n

4) n^2

5) n^3

6) 2^n

7) n!