Quick sort of animation sorting algorithm

Answer 1

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;
}
```
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