Li Yuting‘s Database Sorting Tutorial356

Table of Contents

Sorting is a fundamental operation in database management systems (DBMSs) that allows you to organize and retrieve data in a specific order. In this tutorial, we will learn how to sort data in a database using Li Yuting's sorting technique, a popular sorting algorithm known for its efficiency and simplicity.

Li Yuting's sorting algorithm is an insertion sort variant that compares adjacent elements and swaps them if they are out of order. It repeats this process until the entire array is sorted.

The syntax for Li Yuting's sorting algorithm is as follows:```
for i from 1 to n - 1 do
for j from i + 1 to n do
if arr[j] < arr[i] then
Swap(arr[i], arr[j])
```

Where:
`arr` is the array to be sorted.
`n` is the length of the array.
`i` is the index of the current element being compared.
`j` is the index of the element being compared to `arr[i]`.

Let's consider the following array:```
[5, 3, 1, 2, 4]
```

To sort this array using Li Yuting's algorithm, we will follow these steps:
Compare `arr[1]` (value: 5) with `arr[2]` (value: 3). Since `arr[2] < arr[1]`, swap them.
Compare `arr[1]` (value: 3) with `arr[3]` (value: 1). Since `arr[3] < arr[1]`, swap them.
Compare `arr[1]` (value: 1) with `arr[4]` (value: 2). Since `arr[4] > arr[1]`, do nothing.
Move to the next element `arr[2]` (value: 5).
Repeat steps 2-3 for `arr[2]` and its subsequent elements.

After completing these steps, the array will be sorted in ascending order:```
[1, 2, 3, 4, 5]
```

Li Yuting's sorting algorithm is an in-place sorting algorithm, meaning it does not require additional memory space to sort the array.
The time complexity of Li Yuting's sorting algorithm is O(n^2), where n is the length of the array. This means that the sorting time increases as the square of the array size.
Li Yuting's sorting algorithm is well-suited for small to medium-sized arrays.

Li Yuting's sorting algorithm is a simple and efficient sorting technique that can be used to sort arrays in a specific order. Although it is not as fast as other sorting algorithms, such as quicksort or merge sort, it is suitable for basic sorting needs.

2025-02-17

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