# Sorting: Bubble Sort

### Problem Statement :

```Consider the following version of Bubble Sort:

for (int i = 0; i < n; i++) {

for (int j = 0; j < n - 1; j++) {
// Swap adjacent elements if they are in decreasing order
if (a[j] > a[j + 1]) {
swap(a[j], a[j + 1]);
}
}

}
Given an array of integers, sort the array in ascending order using the Bubble Sort algorithm above. Once sorted, print the following three lines:

1. Array is sorted in numSwaps swaps., where numSwap  is the number of swaps that took place.
2. First Element: firstElement, where firstElement  is the first element in the sorted array.
3. Last Element: lastElement, where lastElement  is the last element in the sorted array.

Hint: To complete this challenge, you must add a variable that keeps a running tally of all swaps that occur during execution.

Example
a = [ 6, 1, 4 ]

swap    a
0       [6,4,1]
1       [4,6,1]
2       [4,1,6]
3       [1,4,6]
The steps of the bubble sort are shown above. It took  swaps to sort the array. Output is:

Array is sorted in 3 swaps.
First Element: 1
Last Element: 6
Function Description

Complete the function countSwaps in the editor below.

countSwaps has the following parameter(s):

int a[n]: an array of integers to sort
Prints

Print the three lines required, then return. No return value is expected.

Input Format

The first line contains an integer,n , the size of the array a.
The second line contains n space-separated integers a[ i ].

Constraints

2  <=  n   <=  600
1  <=   a[ i ]  <=  2* 10^6```

### Solution :

```                            ```Solution in C :

In C :

#include <math.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <assert.h>
#include <limits.h>
#include <stdbool.h>

int main(){
int n;
scanf("%d",&n);
int *a = malloc(sizeof(int) * n);
for(int a_i = 0; a_i < n; a_i++){
scanf("%d",&a[a_i]);
}
int t=0;
for (int i = 0; i < n; i++) {
// Track number of elements swapped during a single array traversal
int numberOfSwaps = 0;

for (int j = 0; j < n - 1; j++) {
// Swap adjacent elements if they are in decreasing order
if (a[j] > a[j + 1]) {
int temp=a[j+1];
a[j+1]=a[j];
a[j]=temp;
t++;
numberOfSwaps++;
}
}

// If no elements were swapped during a traversal, array is sorted
if (numberOfSwaps == 0) {
break;
}
}
printf("Array is sorted in %d swaps.\n",t);
printf("First Element: %d\n",a);
printf("Last Element: %d\n",a[n-1]);
return 0;
}```
```

```                        ```Solution in C++ :

In C ++ :

#include <map>
#include <set>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <queue>
#include <stack>
#include <string>
#include <bitset>
#include <cstdio>
#include <limits>
#include <vector>
#include <climits>
#include <cstring>
#include <cstdlib>
#include <fstream>
#include <numeric>
#include <sstream>
#include <iostream>
#include <algorithm>
#include <unordered_map>

using namespace std;

int main(){
int n,temp,c=0;
cin >> n;
int a[n];
for(int i=0;i<n;i++)
{
cin>>a[i];
}
for(int i=0;i<n-1;i++)
{
for(int j=0;j<n-i-1;j++)
{
if(a[j]>a[j+1])
{
temp=a[j];
a[j]=a[j+1];
a[j+1]=temp;
c++;
}
}

if(c==0)
{
break;
}}
cout<<"Array is sorted in "<<c<<" swaps."<<endl;
cout<<"First Element:"<<" "<<a<<endl;
cout<<"Last Element:"<<" "<<a[n-1]<<endl;
return 0;
}```
```

```                        ```Solution in Java :

In Java :

import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;

public class Solution {

public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int n = in.nextInt();
int a[] = new int[n];
for(int a_i=0; a_i < n; a_i++){
a[a_i] = in.nextInt();
}
bubbleSort(a);
}

public static void bubbleSort(int[] a){
int numSwaps = 0;
for(int i=0; i< a.length; i++){
for(int j=0; j < a.length - 1; j++){
if(a[j] > a[j+1]){
int tmp = a[j];
a[j] = a[j+1];
a[j+1] = tmp;
numSwaps++;
}

}
if(numSwaps==0)
break;
}
System.out.println("Array is sorted in " + numSwaps +" swaps.");
System.out.println("First Element: " + a);
System.out.println("Last Element: " + a[a.length-1]);

}
}```
```

```                        ```Solution in Python :

In Python3 :

n = int(input().strip())
a = list(map(int, input().strip().split(' ')))
swap=0
for i in range (0,len(a)):
for j in range (0,len(a)-1):
if a[j]>a[j+1]:
temp=a[j]
a[j]=a[j+1]
a[j+1]=temp
swap+=1
print("Array is sorted in",swap,"swaps.")
print("First Element:",a)
print("Last Element:",a[len(a)-1])```
```

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