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Given the following algorithm, matching each statement to the correct sequence f...

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Given the following algorithm, matching each statement to the correct sequence for complexity analysis.

procedure bin_exp(b, n): b and n are positive integers

1 x = 1

2 p = b

3 while (n != 0) do

4 if (n mod 2 == 1)

5 x = x * p

6 end of if

7 p = p * p

8 n = n div 2

9 end of while

a return x

The pseudocode contains a single while loop.

Since nn is divided by 2 in each iteration, the total number of iterations is ⌊log2n⌋+1\lfloor \log_2 n \rfloor + 1

The complexity is O(logn)O(\log n)

In each iteration of the while loop, there are two operations in the worst case, and nn is divided by 2.

Therefore, there are at most 2⌊log2n⌋+22 \lfloor \log_2 n \rfloor + 2 operations.

We consider ∗* as the operation to be analyzed

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