Answer :
The maximal salary difference is 30000, while the local sensitivity is 10000.
To compute the maximal salary difference, we find the difference between the highest and lowest salaries. In this case, the highest salary is 50000, and the lowest salary is 20000. Therefore, the maximal salary difference is 30000.
The local sensitivity refers to the smallest possible change in the input that can cause a change in the output. In this context, it represents the smallest change in salary that can affect the maximal salary difference. Since the valid salary range is [10000, 100000], the local sensitivity is determined by the minimum salary increment within this range. In this case, the minimum increment is 10000.
Therefore, the local sensitivity for the given data is 10000, indicating that any change in the salaries within this increment will have an impact on the maximal salary difference.
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