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)

# -*- coding: utf-8 -*-


def bubbleSort(A, N):
    flag = True  # 未ソートの可能性があるか
    i = 0  # 未ソート部分の先頭
    inv_num = 0  # 転倒数
    while flag:
        flag = False
        for j in range(N - 1, i, -1):
            if A[j] < A[j - 1]:
                A[j], A[j - 1] = A[j - 1], A[j]
                flag = True
                inv_num += 1
        i += 1

    return A, inv_num


if __name__ == '__main__':

    N = int(input())
    A = [int(a) for a in input().split(" ")]

    A, inv_num = bubbleSort(A, N)
    print(" ".join(map(str, A)))
    print(inv_num)