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: Wrong Answer)

@cnt = 0
def bubble_sort(array)
	length = array.length
  for i in 1..length do
    for j in 1..(length-i) do
      if array[j - 1] > array[j]
        t = array[j]
        array[j] = array[j - 1]
        array[j - 1] = t
				@cnt += 1
      end
    end
  end
	return array
end
size = gets.chomp.to_i
input_values = gets.chomp.split

bubble_sort(input_values)
puts input_values.join(' ')
puts @cnt