Assume that function f is in the complexity class N), and that for N -1,000 the progam runs in 10 seconds. (1) Write a formula, T(N) that computes the approximate time that it takes to run f for any input of size N. Show your work/calculations by hand, approximating logarithms, then finish/simplify all the arithmetic. Ns a 09 Funs oa) 10 a (31, (2) Compute how long it will take to run whenN1,000,000 (which is also written 10). Show your work/calculations by hand, approximating logarithms, finish/simplify all the arithmetic. 3.2 x10 1000 19,9 634.8