Compare radixSort to bubbleSort, SelectionSort, and InsertionSort Compare quickSort to bubbleSort, SelectionSort, and InsertionSort

Compare radixSort to bubbleSort, SelectionSort, and InsertionSort

Compare quickSort to bubbleSort, SelectionSort, and InsertionSort

Expert Solution

Answer 1:

Title	Radix Sort	Bubble Sort	Selection Sort	Insertion sort
Definition	Radix sort is a sorting technique that sorts the elements by first grouping the individual digits of the same place value. Then, sort the elements according to their increasing/decreasing order.	Bubble sort is an algorithm that compares the adjacent elements and swaps their positions if they are not in the intended order. The order can be ascending or descending.	Selection sort is an algorithm that selects the smallest element from an unsorted list in each iteration and places that element at the beginning of the unsorted list.	Insertion sort is a sorting algorithm that places an unsorted element at its suitable place in each iteration.
Example	Let the initial array be [121, 432, 564, 23, 1, 45, 788] Step 1: [121, 1, 432, 23, 564, 45, 788] Step 2: [1, 121, 23, 432, 45, 564, 788] Step 3: [1, 23, 45, 121, 432, 564, 788]	Let the initial array be [-2, 45, 0, 11, -9] Step 1: [-2, 0, 11, -9, 45] Step 2: [-2, 0, -9, 11, 45] Step 3: [-2, -9, 0, 11, 45] Step 4: [-9, -2, 0, 11, 45]	Let the initial array be [20, 12, 10, 15, 2] Step 1: [2, 12, 10, 15, 20] Step 2: [2, 10, 12, 15, 20] Step 3: [2, 10, 12, 15, 20] Step 4: [2, 10, 12, 15, 20]	Let the initial array be [9, 5, 1, 4, 3] Step 1: [5, 9, 1, 4, 3] Step 2: [1, 5, 9, 4, 3] Step 3: [1, 4, 5, 9, 3] Step 4: [1, 3, 4, 5, 9]
Time complexity	Best case : O(nk) Average Case: O(nk) Worst case: O(nk) Where k is maximum digit	Best case : O(n²) Average Case: O(n²) Worst case: O(n²)	Best case : O(n²) Average Case: O(n²) Worst case: O(n²)	Best case : O(n) Average Case: O(n²) Worst case: O(n²)
Space complexity	O(n)	O(1)	O(1)	O(1)
Applications	Radix sort is implemented in DC3 algorithm while making a suffix array. Places where there are numbers in large ranges.	Bubble sort is used in the following cases where The complexity of the code does not matter. A short code is preferred.	The selection sort is used when: a small list is to be sorted cost of swapping does not matter checking of all the elements is compulsory cost of writing to a memory matters	The insertion sort is used when: the array is has a small number of elements there are only a few elements left to be sorted

Answer 2:

Title	Quick Sort	Bubble Sort	Selection Sort	Insertion sort
Definition	Quicksort is an algorithm based on divide and conquer approach in which the array is split into subarrays and these sub-arrays are recursively called to sort the elements.	Bubble sort is an algorithm that compares the adjacent elements and swaps their positions if they are not in the intended order. The order can be ascending or descending.	Selection sort is an algorithm that selects the smallest element from an unsorted list in each iteration and places that element at the beginning of the unsorted list.	Insertion sort is a sorting algorithm that places an unsorted element at its suitable place in each iteration.
Example	Let the initial array be [8, 7, 6, 1, 0, 9, 2] Step 1: [1, 7, 6, 8, 0, 9, 2] Step 2: [1, 0, 6, 8, 7, 9, 2] Step 3: [1, 0, 2, 8, 7, 9, 6] Step 4: [0, 1, 2, 8, 7, 9, 6] Step 5: [0, 1, 2, 6, 7, 9, 8] Step 5: [0, 1, 2, 6, 7, 8, 9]	Let the initial array be [-2, 45, 0, 11, -9] Step 1: [-2, 0, 11, -9, 45] Step 2: [-2, 0, -9, 11, 45] Step 3: [-2, -9, 0, 11, 45] Step 4: [-9, -2, 0, 11, 45]	Let the initial array be [20, 12, 10, 15, 2] Step 1: [2, 12, 10, 15, 20] Step 2: [2, 10, 12, 15, 20] Step 3: [2, 10, 12, 15, 20] Step 4: [2, 10, 12, 15, 20]	Let the initial array be [9, 5, 1, 4, 3] Step 1: [5, 9, 1, 4, 3] Step 2: [1, 5, 9, 4, 3] Step 3: [1, 4, 5, 9, 3] Step 4: [1, 3, 4, 5, 9]
Time complexity	Best case : O(log n) Average Case:O(log n) Worst case: O(n²)	Best case : O(n²) Average Case: O(n²) Worst case: O(n²)	Best case : O(n²) Average Case: O(n²) Worst case: O(n²)	Best case : O(n) Average Case: O(n²) Worst case: O(n²)
Space complexity	O(log n)	O(1)	O(1)	O(1)
Applications	Quicksort is implemented when the programming language is good for recursion time complexity matters space complexity matters	Bubble sort is used in the following cases where The complexity of the code does not matter. A short code is preferred.	The selection sort is used when: a small list is to be sorted cost of swapping does not matter checking of all the elements is compulsory cost of writing to a memory matters	The insertion sort is used when: the array is has a small number of elements there are only a few elements left to be sorted

venereology answered 7 months ago

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