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Big-oh notation is a method that is used to express the …………… of the running time of an algorithm

Question

Big-oh notation is a method that is used to express the …………… of the running time of an algorithm

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Solution

Big-oh notation is a method that is used to express the "upper bound" of the running time of an algorithm.

Here are the steps to understand this:

  1. Big-oh notation, denoted as O, is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity. In computer science, it is used to describe the performance or complexity of an algorithm.

  2. The "upper bound" in this context refers to the maximum amount of time that the algorithm could possibly take to complete, regardless of the input size.

  3. So, when we say that the running time of an algorithm is O(n), for example, we mean that the time taken by an algorithm grows linearly with the size of the input data.

  4. It's important to note that big-oh notation gives an upper bound on the running time, meaning it overestimates the time for small input sizes. But it gives a good approximation for large input sizes.

  5. Therefore, big-oh notation is a useful tool for comparing the efficiency of different algorithms and for understanding how the running

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