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 JAVA (judge verdict: Accepted)

import java.util.*;
import java.lang.*;


public class Main {

    public static void main(String args[]){
        Scanner sc = new Scanner(System.in);

        int n = sc.nextInt();
        int[] a = new int[n];
        
        for (int i = 0; i < n; i++) {
            a[i] = sc.nextInt();
        }
        int flag = 1;
        int count = 0;
        while(flag == 1) {
            flag = 0;
            for (int j = n - 1; 0 < j; j--) {
                if (a[j] < a[j - 1]) {
                    int tmp = a[j];
                    a[j] = a[j - 1];
                    a[j - 1] = tmp;
                    flag = 1;
                    count++;
                }
            }
        }
        for (int i = 0; i < n; i++) {
            System.out.print(a[i]);
            if (i != n - 1) {
                System.out.print(' ');
            }
        }
        System.out.println();
        System.out.println(count);
    }
}