Let $$f$$ and $$g$$ be functions of natural numbers given by $$f(n)=n$$ and $$g(n)=n^2$$. Which of the following statements is/are TRUE?

Consider functions Function_1 and Function_2 expressed in pseudocode as follows:

Function 1
   while n > 1 do
     for i = 1 to n do
       x = x + 1;
     end for
     n = n/2;
   end while

Function 2
  for i = 1 to 100 ∗ n do
    x = x + 1;
  end for

Let $$f_1(n)$$ and $$f_2(n)$$ denote the number of times the statement "$$x=x+1$$" is executed in Function_1 and Function_2, respectively.

Which of the following statements is/are TRUE?

Consider the following statements regarding the front-end and back-end of a compiler.

S1: The front-end includes phases that are independent of the target hardware.

S2: The back-end includes phases that are specific to the target hardware.

S3: The back-end includes phases that are specific to the programming language used in the source code.

Identify the CORRECT option.

Consider the control flow graph shown.

Which one of the following choices correctly lists the set of live variables at the exit point of each basic block?