What is the final value of sum after executing the given code snippets?

To understand the code snippets provided, we can break them down by analyzing each segment to determine the value of `sum` after the execution of each block.

1. First Segment:

sum ← 0

REPEAT x TIMES

{

sum ← sum + 1

}

REPEAT y TIMES

{

sum ← sum + 1

}

In this segment, `sum` is initialized to 0. The first loop runs `x` times, incrementing `sum` by 1 for each iteration, resulting in `sum` being `x`. The second loop runs `y` times, further incrementing `sum` by 1 for each iteration, resulting in `sum` being `x + y`.

2. Second Segment:

“`plaintext

sum ← 0

REPEAT y TIMES

{

REPEAT x TIMES

{

sum ← sum + 1

}

}

Here, `sum` is again reset to 0. The outer loop runs `y` times, and for each iteration of the outer loop, the inner loop runs `x` times, thus incrementing `sum` by `x` for each iteration of the outer loop. The total increment would be `y * x`, which equals `x * y`.

3. Third Segment: