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.Collections.Generic;
using System.Linq;

namespace AizuOnlineJudge
{
    class Program
    {
        static void Main(string[] args)
        {
            /*
1 bubbleSort(A, N) // N 個の要素を含む 0-オリジンの配列 A
2   flag = 1 // 逆の隣接要素が存在する
3   while flag
4     flag = 0
5     for j が N-1 から 1 まで
6       if A[j] < A[j-1]
7         A[j] と A[j-1] を交換
8         flag = 1
             */
            Console.ReadLine();
            var arr = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            var IsContinue = true;
            while(IsContinue)
            {
                IsContinue = false;
                for(var i = arr.Length - 1; i >= 1; --i)
                {
                    if(arr[i] < arr[i - 1])
                    {
                        Swap(ref arr[i], ref arr[i - 1]);
                        IsContinue = true;
                    }
                }
            }
            Console.WriteLine(string.Join(" ", arr));
            Console.WriteLine(SwapCount);
        }

        private static int SwapCount { set; get; } = 0;

        private static void Swap<T>(ref T a, ref T b)
        {
            var t = a;
            a = b;
            b = t;
            SwapCount++;
        }
    }
}