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)

def bubble_sort(a, n)
  flag = true
  cnt = 0
  while flag do
    flag = false
    (n-1).downto(1) do |j|
      if a[j] < a[j-1]
        t = a[j]
        a[j] = a[j-1]
        a[j-1] = t
        flag = true
        cnt += 1
      end
    end
  end
  [a, cnt]
end

n = gets.chomp.to_i
a = gets.chomp.split.map(&:to_i)

a, num = bubble_sort(a, n)
puts a.join(" ")
puts num