You are given a jagged array that has R rows. Row index i, where 0 i...

 

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You are given a jagged array that has R rows. Row index i, where 0 i < R, has ci columns/cells and the total number of cells in all rows combined is C = PR-1 i=0 ci. Note that this is a jagged array; therefore, the number of cells in two rows can be different. Each cell contains an integer in the range [0, k]. The task is to sort each row of the jagged array. a. Sort each row using merge sort. What is the complexity of this approach? You can leave your answer as a sum of a series. b. Sort each row using counting sort. What is the complexity of this approach? You should be able to arrive at a bound using only C, R, and k. C. Design an O(C + R + k) time algorithm to solve this problem. Hint: You can improve upon the second approach by thinking in this direction: one does not need to touch a counter if it is zero. You are given a jagged array that has R rows. Row index i, where 0 i < R, has ci columns/cells and the total number of cells in all rows combined is C = PR-1 i=0 ci. Note that this is a jagged array; therefore, the number of cells in two rows can be different. Each cell contains an integer in the range [0, k]. The task is to sort each row of the jagged array. a. Sort each row using merge sort. What is the complexity of this approach? You can leave your answer as a sum of a series. b. Sort each row using counting sort. What is the complexity of this approach? You should be able to arrive at a bound using only C, R, and k. C. Design an O(C + R + k) time algorithm to solve this problem. Hint: You can improve upon the second approach by thinking in this direction: one does not need to touch a counter if it is zero.

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Sorting a Jagged Array Heres the analysis and solutions for sorting a jagged array with different approaches a Merge Sort Complexity Sorting each row ... View the full answer