This algorithm performs a stack-based sequence of operations. Let's analyze the execution:
1. The variable \( x \) starts at 0 and increments until it reaches 8.
2. Each value is pushed onto the stack.
3. Once \( x = 8 \), the flag is set to 1.
4. The stack starts popping elements.
5. If \( x \) is odd, another pop occurs, effectively skipping an odd value.
6. The sum accumulates the popped values.
Examining the elements pushed onto the stack:
\[ \{1, 2, 3, 4, 5, 6, 7, 8\} \]
- When popping, odd numbers (1,3,5,7) cause an extra pop, removing one more element.
- The remaining elements contribute to the sum.
\[
\text{Summation} = 2 + 4 + 6 + 8 = 20
\]
Conclusion:
The output of the algorithm is 20.