Problem:
Bubble Sort

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.

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.

Constraints

1 ≤ N ≤ 100

Sample Input 1

5
5 3 2 4 1

Sample Output 1

1 2 3 4 5
8

Sample Input 2

6
5 2 4 6 1 3

Sample Output 2

1 2 3 4 5 6
9

Solution in C# (judge verdict: Accepted)

using System;
using System.Linq;

class PG{
    public static void Main(string[] args){
        Console.ReadLine();
        BubbleSort(Console.ReadLine().Split(' ').Select(int.Parse).ToArray());
    }
    
    
    public static void BubbleSort(int[] a){
        bool flag=true;
        int count=0;
        while(flag){
            flag=false;
            for(int j=a.Length-1;j>=1;j--){
                if(a[j]<a[j-1]){
                    int temp=a[j];
                    a[j]=a[j-1];
                    a[j-1]=temp;
                    flag=true;
                    count++;
                }
            }
        }
        Console.WriteLine(String.Join(" ",a));
        Console.WriteLine(count);
    }
}