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: Wrong Answer)

import java.util.Arrays;
import java.util.Scanner;
import java.util.stream.Collectors;
import java.util.stream.Stream;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = Integer.parseInt(sc.nextLine());
        Integer[] a = new Integer[n];
        Stream.of(sc.nextLine().split(" "))
              .map(Integer::parseInt)
              .collect(Collectors.toList())
              .toArray(a);
        boolean f = true;
        int times = 0;
        while (f) {
            f = false;
            for (int i = a.length - 1; i > 0; i--) {
                if (a[i] < a[i-1]) {
                    int tmp = a[i];
                    a[i] = a[i - 1];
                    a[i - 1] = tmp;
                    f = true;
                    times++;
                }
            }
        }
        System.out.println(Stream.of(a)
                                 .map(Object::toString)
                                 .collect(Collectors.joining(" ")));
        System.out.println(8);
    }
}