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When evaluating the complexity of a loop, all statements in the loop body are considered to be O(1). A. True B. False

Question

When evaluating the complexity of a loop, all statements in the loop body are considered to be O(1).

A. True
B. False

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Solution

Evaluation of Loop Complexity

  1. Understanding Loop Complexity:

    • The complexity of a loop typically depends on the number of iterations completed by the loop and the complexity of the operations performed within the loop.
  2. Analyzing Statements in the Loop Body:

    • If all the statements inside the loop body are considered O(1), this implies that each statement executes in constant time regardless of the input size.
  3. Final Determination:

    • It's not always true that all statements in the loop body are O(1). For instance, if any of the statements involve operations that scale with input size (like nested loops or function calls that are not constant time), then the overall complexity would be greater than O(1).

Conclusion

The correct answer is B. False. Not all statements in the loop body can be assumed to be O(1); the complexity depends on the operations performed.

This problem has been solved

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