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For each of the following functions, provide the following analysis on the code as provided : i. A recurrence T(n) describing the worst-case running time
For each of the following functions, provide the following analysis on the code as provided : i. A recurrence T(n) describing the worst-case running time of the function (as a function of n). ii. The tightest asymptotic upper and lower bounds you can for T (n). iii. A graph showing running time of the code on a real machine as a function of n , together with your hypothesized bounds. For the purposes of (i) and (ii) above, you should assume that the code is run in a Java environment that supports the RAM model: The machine has infinite memory. Both int and Integer are arbitrarily large. Basic integer arithmetic operations [+, -, *,1, %, casting) require o (1) time. 2a. [5 points] nmn static int probA(int n) { if (n
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