Analyze the sorting algorithms, including merge sort, insertion sort, bubble sort, and selection sortFor each algorithm, briefly describe how it works and its worst-case time complexity.Implement each algorithm in Java.Generate test data sets of varying sizes (e.g., 10, 100, 1000, 10000 elements) and randomly generate or manually enter values.Time each algorithm on each test data set using the nanoTime() method.Calculate the average runtime of each algorithm on each data set.Create a table or chart to compare the average runtimes of each algorithm on each data set.Write a report summarizing your findings. Include a discussion of the efficiency of each algorithm and any observations or conclusions you can draw from your analysis.

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Analyze the sorting algorithms, including merge sort, insertion sort, bubble sort, and selection sort For each algorithm, briefly describe how it works and its worst-case time complexity. Implement each algorithm in Java.

Analyze the sorting algorithms, including merge sort, insertion sort, bubble sort, and selection sort For each algorithm, briefly describe how it works and its worst-case time complexity. Implement each algorithm in Java.

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

Analyze the sorting algorithms, including merge sort, insertion sort, bubble sort, and selection sort
For each algorithm, briefly describe how it works and its worst-case time complexity.
Implement each algorithm in Java.
Generate test data sets of varying sizes (e.g., 10, 100, 1000, 10000 elements) and randomly generate or manually enter values.
Time each algorithm on each test data set using the nanoTime() method.
Calculate the average runtime of each algorithm on each data set.
Create a table or chart to compare the average runtimes of each algorithm on each data set.
Write a report summarizing your findings. Include a discussion of the efficiency of each algorithm and any observations or conclusions you can draw from your analysis.

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Step 2: 1.Analyze the sorting algorithms, including merge sort, insertion sort, bubble sort, selection sort.

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Step 3: 2. For each algorithm, briefly describe how it works and its worst-case time complexity.

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Step 4: 3. Implement each algorithm in Java.

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Step 5: Implementation in main class

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Time each algorithm on each test data set using the System.nanoTime() method.
Calculate the average runtime of each algorithm on each data set.
Create a table or chart to compare the average runtimes of each algorithm on each data set.
Write a report summarizing your findings. Include a discussion of the efficiency of each algorithm and any observations or conclusions you can draw from your analysis.

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