#include <ios>
#include <iostream>
using namespace std;
int main()
{
	int n, i, j, c = 0, a[100] = {};
	cin >> n;
	for(i = 0; i < n; ++i)
		cin >> a[i];

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

	for(i = 0; i < n; ++i){
		cout << a[i];
		if( i != n-1 )
			cout << " ";
	}
	cout << "\n" << c << "\n";

	return 0;
}
### Prompt

Please create a solution in CPP to the following problem:

Write a program of the Bubble Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:


BubbleSort(A)
1 for i = 0 to A.length-1
2     for j = A.length-1 downto i+1
3         if A[j] < A[j-1]
4             swap A[j] and A[j-1]


Note that, indices for array elements are based on 0-origin.

Your program should also print the number of swap operations defined in line 4 of the pseudocode.

Constraints

1 ≤ N ≤ 100

Input

The first line of the input includes an integer N, the number of elements in the sequence.

In the second line, N elements of the sequence are given separated by spaces characters.

Output

The output consists of 2 lines.

In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.

In the second line, please print the number of swap operations.

Examples

Input

5
5 3 2 4 1


Output

1 2 3 4 5
8


Input

6
5 2 4 6 1 3


Output

1 2 3 4 5 6
9

### Response

```cpp
#include <ios>
#include <iostream>
using namespace std;
int main()
{
	int n, i, j, c = 0, a[100] = {};
	cin >> n;
	for(i = 0; i < n; ++i)
		cin >> a[i];

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

	for(i = 0; i < n; ++i){
		cout << a[i];
		if( i != n-1 )
			cout << " ";
	}
	cout << "\n" << c << "\n";

	return 0;
}
```