Please answer this all, in English

Here is the solution to the problem: 6. (i) Study the pseudocode below and answer the questions that follow. a) The data type of the variable check is a string, as it is assigned the literal values "Yes" and "No". String b) Here is a trace of the algorithm for number = 10: | i | num (initial) | check (initial) | Condition num * num <= i | i mod num = 0 | check (final) | num (final) | Output (print(i)) | | :-- | :-------------- | :---------------- | :------------------------- | :-------------- | :-------------- | :-------------- | :------------------ | | 2 | 2 | "Yes" | 4 2 (False) | N/A | "Yes" | 2 | 2 | | 3 | 2 | "Yes" | 4 3 (False) | N/A | "Yes" | 2 | 3 | | 4 | 2 | "Yes" | 4 4 (True) | 4 2 = 0 (True) | "No" | 3 | | | | | | 9 4 (False) | | | | | | 5 | 2 | "Yes" | 4 5 (True) | 5 2 = 0 (False) | "Yes" | 3 | 5 | | | | | 9 5 (False) | | | | | | 6 | 2 | "Yes" | 4 6 (True) | 6 2 = 0 (True) | "No" | 3 | | | | | | 9 6 (False) | | | | | | 7 | 2 | "Yes" | 4 7 (True) | 7 2 = 0 (False) | "Yes" | 3 | 7 | | | | | 9 7 (False) | | | | | | 8 | 2 | "Yes" | 4 8 (True) | 8 2 = 0 (True) | "No" | 3 | | | | | | 9 8 (False) | | | | | | 9 | 2 | "Yes" | 4 9 (True) | 9 2 = 0 (False) | "Yes" | 3 | | | | | | 9 9 (True) | 9 3 = 0 (True) | "No" | 4 | | | | | | 16 9 (False) | | | | | | 10 | 2 | "Yes" | 4 10 (True) | 10 2 = 0 (True) | "No" | 3 | | | | | | 9 10 (True) | 10 3 = 0 (False) | "No" | 4 | | | | | | 16 10 (False) | | | | | The numbers printed are: 2, 3, 5, 7. c) The algorithm computes and displays the prime numbers up to the input number. The algorithm displays prime numbers up to the input value. d) Here is a flowchart for the while loop: `mermaid graph TD A[Initialize num = 2, check = "Yes"] --> Bnum * num <= i ?; B -- True --> Ci mod num = 0 ?; C -- True --> D[check = "No"]; C -- False --> E[num = num + 1]; D --> E; E --> B; B -- False --> F[End while loop]; ` 6. (ii) Iteration and recursion are different ways to execute a set of instructions repeatedly. a) • Iteration achieves repetition by using explicit loop constructs (e.g., for, while, repeat-until). A block of code is executed repeatedly as long as a condition is true or for a predefined number of times, with loop control variables being updated in each pass. • Recursion achieves repetition when a function calls itself, either directly or indirectly. Each call creates a new instance of the function with its own local variables, and the repetition continues until a base condition (base case) is met, which terminates the sequence of calls. b) • Iteration does not terminate if the loop condition never becomes false (e.g., an infinite while loop) or if the loop counter does not converge to its termination value. • Recursion does not terminate if no base case is defined, or if the base case is never reached. This leads to an excessive number of function calls and eventually a stack overflow. c) Iteration is generally faster than recursion for several reasons: • Recursion involves significant overhead due to function calls (creating new stack frames, managing local variables, passing parameters, and returning values). These operations consume CPU time and memory. • Iteration, on the other hand, typically executes within a single stack frame and involves simpler jump instructions and variable updates, which reduces overhead. • While some compilers can optimize tail recursion into iteration, this is not always the case, and explicit iteration often remains more efficient in terms of performance. That's all for today! Send me the next one 📸