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(array, n)
  count = 0
  flag = true
  head = 0

  while flag
    flag = false
    (n-1).downto(head+1) do |i|
      if array[i] < array[i-1]
        flag = true
        array[i], array[i-1] = array[i-1], array[i]
        count += 1
      end
    end
    head += 1
  end
  count
end

def trace(array)
  puts array.join(' ')
end

n = $stdin.gets.chomp.to_i
array = $stdin.gets.chomp.split(' ').map(&:to_i)

count = bubble_sort(array, n)
trace(array)
puts count