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 Ruby (judge verdict: Accepted)

#?????????????????????????????°??????

#swap???????????????????????????
def Swap(a, b)
    return b, a
end

#???????????????????????????????????????????????????
def BubbleSort(a, length)
    count = 0
    for i in 0..length-1
        for j in i+1..length-1
            k = (i + 1) + (length - 1) - j
            if a[k] < a[k-1] then
                count = count + 1
                a[k], a[k-1] = Swap(a[k], a[k-1])
            end
        end
    end
    #?????????????????????????????¨???????????°???main?????????
    return a, count
end

#????????????????????????????????¨?????????
def PrintBubbleSort(a, length, count)
    i = -1
    for i in 0..length-2
        print a[i], " "
    end
    print a[i+1], "\n"
    print count, "\n"
end

#?????????????????°?????\?????????
length = readline.to_i

#?????????????????????????????????????????§??\????????????
A = gets.chomp.split(" ").map(&:to_i)

B, count = BubbleSort(A, length)

PrintBubbleSort(B, length, count)