# C++ Program to Implement Bubble Sort

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This is a C++ program to sort the given data using Bubble Sort.

Problem Description

1. Bubble sort algorithm sort data by comparing two consecutive numbers.
2. The time complexity of this algorithm is O(n^2).

Problem Solution

1. Compare two consecutive number.
2. Switch values if the number with higher index value is smaller.
3. Display the result.
4. Exit.

Program/Source Code

C++ program to implement Bubble Sort.
This program is successfully run on Dev-C++ using TDM-GCC 4.9.2 MinGW compiler on a Windows system.

```#include <iostream>

using namespace std;

// Sort arr[] of size n using Bubble Sort.
void BubbleSort (int arr[], int n)
{
int i, j;
for (i = 0; i < n; ++i)
{
for (j = 0; j < n-i-1; ++j)
{
// Comparing consecutive data and switching values if value at j > j+1.
if (arr[j] > arr[j+1])
{
arr[j] = arr[j]+arr[j+1];
arr[j+1] = arr[j]-arr[j + 1];
arr[j] = arr[j]-arr[j + 1];
}
}
// Value at n-i-1 will be maximum of all the values below this index.
}
}

int main()
{
int n, i;
cout<<"\nEnter the number of data element to be sorted: ";
cin>>n;

int arr[n];
for(i = 0; i < n; i++)
{
cout<<"Enter element "<<i+1<<": ";
cin>>arr[i];
}

BubbleSort(arr, n);

// Display the sorted data.
cout<<"\nSorted Data ";
for (i = 0; i < n; i++)
cout<<"->"<<arr[i];

return 0;
}```
Program Explanation

1. Take input of data.
2. Call BubbleSort() function with ‘arr’ the array of data and ‘n’ the number of values, in the argument list.
3. Implement Sorting algorithm using nested for loop.
4. The first loop will run on ‘i’ from 0 to n-1.
5. The second loop will run on ‘j’ from 0 to n-i-1.
6. Compare two consecutive values.
7. Switch the values if arr[j+1] <arr[j].
9. Exit.

Runtime Test Cases
```Case 1:(average case)

Enter the number of data element to be sorted: 5
Enter element 1: 998
Enter element 2: 451
Enter element 3: 2
Enter element 4: 35
Enter element 5: 1206

Sorted Data ->2->35->451->998->1206

Case 2:(best case)

Enter the number of data element to be sorted: 5
Enter element 1: 2
Enter element 2: 332
Enter element 3: 456
Enter element 4: 1024
Enter element 5: 16565

Sorted Data ->2->332->456->1024->16565

case 3: (worst case)

Enter the number of data element to be sorted: 5
Enter element 1: 99845
Enter element 2: 564
Enter element 3: 332
Enter element 4: 86
Enter element 5: 1

Sorted Data ->1->86->332->564->99845```

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