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Engineering
Data Structures and Algorithms
1. Suppose we use RANDOMIZED-SELECT to select the minimum elementof the array A = {12, 0, 4, 3, 5, 7, 9, 2, 8, 11}. Describe a sequence ofpartitions that results in a worst-case performance of RANDOMIZEDSELECT. 2. Illustrate the operation of COUNTING-SORT on the array A = {6, 0, 2, 0, 1, 3, 5, 6, 1, 3,2}. Specifically, show the four arrays A, B, C, and C’.

1. Suppose we use RANDOMIZED-SELECT to select the minimum elementof the array A = {12, 0, 4, 3, 5, 7, 9, 2, 8, 11}. Describe a sequence ofpartitions that results in a worst-case performance of RANDOMIZEDSELECT. 2. Illustrate the operation of COUNTING-SORT on the array A = {6, 0, 2, 0, 1, 3, 5, 6, 1, 3,2}. Specifically, show the four arrays A, B, C, and C’.

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1. Suppose we use RANDOMIZED-SELECT to select the minimum element
of the array A = {12, 0, 4, 3, 5, 7, 9, 2, 8, 11}. Describe a sequence of
partitions that results in a worst-case performance of RANDOMIZEDSELECT.

2. Illustrate the operation of COUNTING-SORT on the array A = {6, 0, 2, 0, 1, 3, 5, 6, 1, 3,2}. Specifically, show the four arrays A, B, C, and C’.

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