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: Wrong Answer)

# リストの宣言
A = []

# 入力の最初の行に、数列の長さを表す整数 N が与えられます。
# 2 行目に、N 個の整数が空白区切りで与えられます。
LENGTH =int(input())
A = input().split()

# 変数
N = 0
M = LENGTH - 1
CHANGE = 0

# BubbleSort(A)
#  for i = 0 to A.length-1
while N <= LENGTH -1 :
    M = LENGTH - 1
#    print ('N=',N)
#      for j = A.length-1 downto i+1
    while M >= N + 1:
#       print  ('-M=',M)
#          if A[j] < A[j-1]
        if A[M] < A[M-1] :
            tmp = A[M-1]
            A[M-1] = A[M]
            A[M] = tmp
            CHANGE += 1
        M -= 1
    N += 1

print(" ".join(map(str,A)))
print (CHANGE)