4. Consider the Quick-sort algorithm, which partitions elements into two sub-arrays, each of which contains at least one-fifth of the elements. Allow T(n) to represent the number of comparisons...


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4. Consider the Quick-sort algorithm, which partitions elements into two sub-arrays, each of which<br>contains at least one-fifth of the elements. Allow T(n) to represent the number of comparisons<br>necessary to sort an array of n elements.<br>T(n) = 2 T(n/5) + cn<br>T(n) = T(n/5) + T(4n/5) + cn<br>T(n) = 2 T(n/5) + c<br>T(n) = T(n/5) + T(4n/5) + c<br>None<br>O O<br>

Extracted text: 4. Consider the Quick-sort algorithm, which partitions elements into two sub-arrays, each of which contains at least one-fifth of the elements. Allow T(n) to represent the number of comparisons necessary to sort an array of n elements. T(n) = 2 T(n/5) + cn T(n) = T(n/5) + T(4n/5) + cn T(n) = 2 T(n/5) + c T(n) = T(n/5) + T(4n/5) + c None O O

Jun 04, 2022
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