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A loop body is controlled by the following statement: for (int count = 2; count <= n; count +=2) If the statements in the body of the loop are all O(1), what is the order of the loop? A. O(1/2) B. O(1) C. O(n) D. O(n^2) E. O(2^n)

Question

A loop body is controlled by the following statement: for (int count = 2; count <= n; count +=2) If the statements in the body of the loop are all O(1), what is the order of the loop? A. O(1/2) B. O(1) C. O(n) D. O(n^2) E. O(2^n)

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Solution

The order of the loop is O(n). This is because the loop runs n/2 times, and since we ignore constants in Big O notation, it simplifies to O(n). So, the correct answer is C. O(n).

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