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How would you prove the correctness of a bubblesort algorithm used to sort the array? Provide the detailed and complete mathematical proof. What are the

How would you prove the correctness of a bubblesort algorithm used to sort the array? Provide the detailed and complete mathematical proof.
What are the best- and worst-case running times for sorting List using bubblesort? Provide the detailed and complete mathematical proof to substantiate your answer.

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