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: Wrong Answer)

using System;
 
public class Program
{ 
	public static void Main()
	{
		int N, i;
		int[] A = new int[100];

		N = int.Parse(Console.ReadLine());
		for( i = 0; i < N; i++) {
			A[i] = int.Parse(Console.ReadLine());
		}

		trace(A, N);
		insertionzSort(A, N);
	}

	public static void trace(int[] A, int N)
	{
		int i;
		for(i = 0; i < N; i++) {
			if(i > 0) Console.Write(" ");
			Console.Write("{0}", A[i]);
		}
		Console.Write("\n");
	}

	public static void insertionzSort(int[] A, int N)
	{
		int j, i, v;
		for ( i = 1; i < N; i++) {
			v = A[i];
			j = i - 1;
			while ( j >= 0 && A[j] > v) {
				A[j + 1] = A[j];
				j--;
			}
			A[j + 1] = v;
			trace(A, N);
		}
	}
}