Question: Problem 2. (10 points) Decide the complexity category of the following running time functions with Big- O notations (using the lowest upper bound). Note that

Problem 2. (10 points) Decide the complexity category of the following running time functions with Big- O notations (using the lowest upper bound). Note that log n is a shorthand notation for log n.Ranking these functions by growth rate in increasing order ("1" is the lowest growth rate, use the same number thefurtions with the same gr ssh rnok F1+1024 logn Big-O notation Ranking 1024 logn 3n100 +2" +1009 100n logn +n' logn n +1024n logn 8nlogn+3n F2 F3 F4 F5 F7 | 5n3 +1 00n log(n*) F8 F9 F10 2 1024*2 hogn+ n n2 + 1024n log" n

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