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 Python3 (judge verdict: Accepted)

def bubbleSort(lst, n):
    flag = 1
    i = 0
    while flag:
        flag = 0
        for j in range(n-1, 0, -1):
            if lst[j] < lst[j-1]:
                tmp = lst[j]
                lst[j] = lst[j-1]
                lst[j-1] = tmp
                flag = 1
                i = i + 1
    print(" ".join([str(n) for n in lst]))
    print(i)


if __name__ == "__main__":
    n = int(input())
    lst = [int(n) for n in input().split()]
    bubbleSort(lst, n)