Question: Suppose an algorithm takes five seconds to handle a data set of 1,000 records. Fill in the following table, which shows the approximate growth of

Suppose an algorithm takes five seconds to handle a data set of 1,000 records. Fill in the following table, which shows the approximate growth of the execution times depending on the complexity of the algorithm.

O(n) O(n?) o(n) O(n log(n) O(2") 1,000 5 5 2,000 3,000 45

For example, because 3,0002/1,0002 = 9, the algorithm would take nine times as long, or 45 seconds, to handle a data set of 3,000 records.

O(n) O(n?) o(n) O(n log(n) O(2") 1,000 5 5 2,000 3,000 45 10,000 5.

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