Question:

Consider the following algorithm: 
algorithm
algorithm
 What will be the output (O/P) of this algorithm?

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Understanding stack operations and conditional execution is crucial for analyzing such algorithms.
Updated On: Feb 15, 2025
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The Correct Option is B

Solution and Explanation

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.
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