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.Windows;
using System.Collections.Generic;
using System.Linq;

class Program
{
    static void Main(string[] args)
    {
        //入力を受け取る
        int N = int.Parse(Console.ReadLine());
        int[] A = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
      
      var flag = true;
      var count = 0;
      while(flag){
        flag = false;
        for(int i = N-1; i > 0;i--){
          if(A[i] < A[i-1]){
            var tmp = A[i];
            A[i] = A[i-1];
            A[i-1] = tmp;
            flag = true;
            count++;
          }
        }
      }
      Console.WriteLine(String.Join(" ",A));
      Console.WriteLine(count);
    }
}