# recurrence relations

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Here are some recurrence relations that come up in the analysis of Quicksort and or Select. For each recurrence, write one sentence explaining how it relates to Quicksort or Select and give its asymptotic growth rate in notation.

A. T(n) = T(n/10) + T(9n/10) + n

B. T(n) = T(n-1) + n

C. T(n) = T(n/5) + T(3n/4) + n...

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The solution examines recurrence relations.

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a. Partition guarantees that there are at least n/10 elements less than the pivot and n/10 elements greater than the pivot. The solution is (nlgn).

b. This is ...

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