Exercise 4. Give a (.) evaluation for the runtime of the following code: i= i; x=0; while (i <= n) { j=1; while (j<= i) { x=x+1; j= 2*j; } i= 2*i; }

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**Exercise 4.** Give a Θ(·) evaluation for the runtime of the following code:

```plaintext
i = 1; x = 0;
while(i <= n) {
    j = 1;
    while (j <= i) { x = x + 1; j = 2 * j; }
    i = 2 * i;
}
```

This exercise asks you to determine the asymptotic runtime complexity, Θ, of the provided code snippet. The nested loops involve doubling operations on `i` and `j`, which influences the number of iterations they perform. Consider analyzing the loops individually to understand how they contribute to the overall runtime.
Transcribed Image Text:**Exercise 4.** Give a Θ(·) evaluation for the runtime of the following code: ```plaintext i = 1; x = 0; while(i <= n) { j = 1; while (j <= i) { x = x + 1; j = 2 * j; } i = 2 * i; } ``` This exercise asks you to determine the asymptotic runtime complexity, Θ, of the provided code snippet. The nested loops involve doubling operations on `i` and `j`, which influences the number of iterations they perform. Consider analyzing the loops individually to understand how they contribute to the overall runtime.
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