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Execution of insertion sort requires time that grows as the square of the input size. Suppose that an array of 6,000 elements can be sorted with insertion sort in 6 seconds. From that knowledge, we can estimate that:Group of answer choicesSorting an array of 18,000 elements with insertion sort will take around 54 secondsSorting an array of 12,000 elements with insertion sort will take around 12 secondsSorting an array of 12,000 elements with insertion sort will take around 15 secondsSorting an array of 2,000 elements with insertion sort will take around 1 secondSorting an array of 2,000 elements with insertion sort will take around 2 seconds

Question

Execution of insertion sort requires time that grows as the square of the input size. Suppose that an array of 6,000 elements can be sorted with insertion sort in 6 seconds. From that knowledge, we can estimate that:Group of answer choicesSorting an array of 18,000 elements with insertion sort will take around 54 secondsSorting an array of 12,000 elements with insertion sort will take around 12 secondsSorting an array of 12,000 elements with insertion sort will take around 15 secondsSorting an array of 2,000 elements with insertion sort will take around 1 secondSorting an array of 2,000 elements with insertion sort will take around 2 seconds

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Solution

The correct answer is: "Sorting an array of 18,000 elements with insertion sort will take around 54 seconds".

Explanation:

Insertion sort has a time complexity of O(n^2), where n is the number of elements in the array. This means that the time it takes to sort an array grows quadratically with the size of the array.

In this case, we know that sorting an array of 6,000 elements takes 6 seconds. Therefore, if we triple the size of the array to 18,000 elements, the time it takes to sort the array will increase by a factor of 3^2 = 9.

So, we can estimate that sorting an array of 18,000 elements with insertion sort will take 6 seconds * 9 = 54 seconds.

This problem has been solved

Similar Questions

Suppose that an array of 5,000 random elements can be sorted with insertion sort in 4 seconds. From that knowledge, we can estimate that:Sorting an array of 2,500 random elements with insertion sort will take around 0.5 secondsSorting an array of 2,500 random elements with insertion sort will take around 2 secondsSorting an array of 10,000 random elements with insertion sort will take around 10 secondsSorting an array of 10,000 random elements with insertion sort will take around 12 secondsSorting an array of 7,000 random elements with insertion sort will take around 8 seconds.

The efficiency of the Insertion Sort is O(N2) where N is the size of the list being sorted.Group of answer choicesTrueFalse

Question2Max. score: 3.00What is the time complexity of insertion sort?

Your project manager is not familiar with sorting algorithms and wants to understand how efficient insertion sort is. Explain the efficiency of insertion sort in terms of time complexity, and also mention situations where it can perform well or poorly.

What is the time complexity of inserting at index n on an unsorted array?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))

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