Question: 1. a) Solve the following recursion using the substitution method. T(n) = T(n/3) + T (2n/3) + O(n) b) Rank the following list of functions

1. a) Solve the following recursion using the substitution method.

T(n) = T(n/3) + T (2n/3) + O(n)

b) Rank the following list of functions by order of growth:

(6/5)^n, n^(1/lg n), 2^2^n, lg(n!), lg^2 n, 2n^3

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