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 geta(n=0)
  return $stdin.gets.to_i if n==0
  ar = []
  n.times do 
    ar << $stdin.gets.chomp.split
  end
  return ar.flatten(1) if n<=1
  return ar
end

def exchange(i,sorted)
  cnt = 0
  0.step(sorted-1) do |j|
    if @ar[j] > @ar[j+1]
      @ar[j],@ar[j+1] = @ar[j+1],@ar[j]
      cnt += 1
    end
  end
  return cnt
end

n = geta(0)
@ar = geta(1).map(&:to_i)

sorted = n-1
cnt = 0
0.step(sorted,1) do |i|
  cnt += exchange(i,sorted)
  sorted -= 1
end

puts @ar.join(" ")
p cnt