If an Q(n²) algorithm and an Q(n) algorithm exist for the same task, then for large enough n, the Q(n²) algorithm does more work and takes longer to execute, regardless of the constant factors for peripheral work.

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Quizplus · Accepted Answer

This is because the time complexity of an algorithm with Q(n²) is greater than an algorithm with Q(n). As the value of n increases, the time taken by the Q(n²) algorithm would increase at a faster rate compared to the Q(n) algorithm, making it take longer to execute.

If an Q(n²) Algorithm and an Q(n) Algorithm Exist for the Same