<> Bubble sort 
 
 This is the bubble sort process . We can understand it as a bunch of numbers at first, for example :4,1,7,9,6,8,5,3,2. So first we'll take the first number 4 And the second number 1 Compare , Place the big one in the original second digit position . Compare the second number with the third , Place the big one in the third position . The same goes back and forth , Compare the size to the last number , After the first round of comparative adjustment , The last number will become the largest of these numbers , mean 9.
 But at the same time, we will find that , After the first round of comparison , Just take the largest of these numbers 9 Find and place in the last digit position of , But the other locations are still messy , Then repeat the first round , Until you find the largest number one at a time and put it last , In the end, all the sorting will be done .
 The detailed code is as follows :
public class Mp { int[] Arr={4,1,7,9,6,8,5,3,2}; public void mp() { int a; for(
int i=0;i<Arr.length-1;i++) { // The second round of cycle comparison only needs to compare the number of all numbers minus one  for(int j=0;j<Arr.
length-1;j++) { // In the first round, you only need to compare the number of all numbers minus one  if(Arr[j]>Arr[j+1]) { 
// After comparison, place the larger number in the following number position  a=Arr[j]; Arr[j]=Arr[j+1]; Arr[j+1]=a; } } } for(int i=0;i<
9;i++) { // Output the final sorting result  System.out.println(Arr[i]); } } public static void main(
String[] args) { // Create an object to call the bubble sort method  Mp zzz=new Mp(); zzz.mp(); } } 
 <> Insert sort 
 
 Compared to bubble sort , Insert sort is a little bit more complicated . We can see from the dynamic diagram above , The principle of insertion sort is to start with the second number , Compare the size with the first number , Place the small ones in the front number position , Go from the second number , Each number is compared with all the previous numbers , Stop until the comparison is larger than the previous number , Connect the number to this location .
 Let's assume that our number combination is 4,1,7,9,6,8,5,3,2. So it's from 1 Start to compare forward , And then there's the 7, And then there is 9 wait , Until the last one 2 End of comparison with previous figures . The principle of comparison is that the selected numbers are compared with the previous numbers in turn , Until there are no numbers in front , Or larger than the previous number , stop , Place the number here .
 The detailed code is as follows :
public class Cr { int[] Arr=new int[] {4,1,7,9,6,8,5,3,2}; public void cr() { 
for(int i=1;i<Arr.length;i++) { 
// Because the comparison in the sequence starts from the second number 1 Start to compare forward , So the starting value of the cycle judgment i Set from 1 start , Not zero , Convenient for follow-up j Normal use of  int j=i-1; int num=
Arr[i]; for(;j>=0;j--) { // The number will be taken out , Keep comparing with all the previous figures in turn , There are no numbers until the front , Or smaller than the previous number  if(num<Arr[
j]) { Arr[j+1]=Arr[j]; }else break; } if(num != Arr[i]) { 
// If the selected number is smaller than the previous one , It moves forward , The new position falls after the number that is smaller than it when compared in size  Arr[j+1]=num; } } for(int
 i=0;i<Arr.length;i++) { // Output the final sorting result  System.out.println(Arr[i]); } } public 
static void main(String[] args) { // Create an object to call the insert sort method  Cr cr=new Cr(); cr.cr(); } }
 Insertion sorting needs to be able to sort out the process of selecting a number and continuously comparing it forward , Any number smaller than it moves one bit backward , The number selected for forward comparison will eventually fall behind the smaller number in the comparison , You can figure out the logic of the code . Look at the top dynamic chart , It is helpful to understand the principle of insertion sort .
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