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Quick sorting uses the idea of divide and conquer. The animation shows the process as follows: First, select an arbitrary reference element pivot in an unordered sequence, and divide the sequence to be sorted into two parts. The first part of the elements is less than or equal to the reference element, and the latter part is greater than or equal to the reference element. For example, there is an array of 29,10,14,37,20,25,44,15. If the leftmost element 29 is selected as the middle point element, the array will be divided into three parts: (0, 14, 15, 20, 25),(29),(44, 37). The middle node 29 has been arranged. Then, the above operations were repeated for the front and back parts respectively using a recursion method. That is, for the left and right sub-arrays, they could select their respective reference values and divide the sub-arrays into the left and right parts. The smaller value was placed on the left and the larger value was placed on the right. This continued until the disordered sequence was arranged into an orderly sequence. Through this continuous division and sorting process, the animation could directly show the rapid sorting process.

To set the animation sequence in PowerPoint, you can do the following: 1. Choose the element you want to animate. 2. Go to the "Animation" tab and choose the animation effect. 3. Drag and drop the animation in the "animation order" section to set the order, or you can set it through the "animation pane" tool. In the "Animation" tab, find the "Animation Pane". Here, you can see all the elements with animation effects added. You can easily adjust their playback order by dragging them. 4. You can also choose the trigger method (option) and then view it. In addition, if you want to set the animation sequence using the Focusky Animation Master, you should first import the PowerPoint, select the PowerPoint page you want to add to the project, then choose a layout and template, and click Next. It would be easier to operate in this software and the animation effects would be richer.

There were several ways to sort the animations in the PowerPoint: In the " Animation " tab, you could find the " Animation Pane " tool, where you could see all the elements with animation effects added. Then, you could easily adjust their playback order by dragging them.

The quick-sorting animation effect mainly showed the process of dividing and conquering. First, a reference element (such as the leftmost element) was selected in an unordered sequence. Then, the sequence was divided into two parts by comparison. The left part of the elements was less than or equal to the reference element, and the right part was greater than or equal to the reference element. Then, he performed similar operations on the left and right parts, splitting and sorting the array repeatedly. The animation would clearly show the rearranging of the elements after each selection of the reference value. As the recursion progressed, the disordered sequence gradually became an ordered sequence. For example, for an array such as [29,10,14,37,20,25,44,15], 29 was selected as the base element, and after a round of operations, it was divided into [(0, 14,15,20,25),(29),(44,37)]. Then, the same operation was performed on the left and right parts respectively, and finally the ordered array was obtained.

Quicksort used the divide and conquer concept, and the process was as follows: First, an arbitrary pivot was selected from an unordered sequence. Then, the pivot was used to divide the sequence into two parts, so that the first part of the elements were less than or equal to the reference element, and the latter part was greater than or equal to the reference element. For example, there is an array 29,10,14,37,20,25,44,15. If the leftmost element 29 is selected as the middle point element, the array can be divided into three parts after processing: (0, 14, 15, 20, 25),(29),(44, 37). The middle node 29 has been arranged and does not need to be processed. After that, the above operations were repeated for the front and back parts using a recursion method. That is, for the array data on the left, you can take another reference value and divide this part of the data into two parts, the left and the right. The smaller value is placed on the left, and the larger value is placed on the right. The array data on the right is similarly processed. By continuously sorting the left part of the array, and then sorting the right part of the array, when the data of the left and right parts were sorted, the entire array was sorted. The time complexity is O(n2) in the worst case, and the average time complexity is O(N*logN). In terms of space complexity, Quicksort is an in-place sorting algorithm that does not require additional space for sorting. The space complexity is O(1). In terms of code implementation (using Java as an example): ```java private static int[] quickSort(int[] array, int left, int right) { if (left < right) { int partitionIndex = partition(array, left, right); quickSort(array, left, partitionIndex - 1); quickSort(array, partitionIndex + 1, right); } return array; } private static int partition(int[] array, int left, int right) { //Set the base value int pivot = left; int index = pivot + 1; for (int i = index; i <= right; i++) { if (array[i] < array[pivot]) { swap(array, i, index); index++; } } swap(array, pivot, index - 1); return index - 1; } private static void swap(int[] array, int i, int j) { int temp = array[i]; array[i] = array[j]; array[j] = temp; } ``` <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>