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: WA: Presentation Error)

$swap = 0

def Swap(a, b)
	$swap += 1
	return b,a
end

gets
d = gets.chomp.split(" ").map &:to_i

(d.length-1).times { |i|
	(d.length-1).step(i+1, -1) { |j|
		d[j],d[j-1] = Swap(d[j],d[j-1]) if d[j-1] > d[j]
	}
}

d.length.times { |i|
	print " " unless i == 0
	print "#{d[i]}"
}
print "\n#{$swap}"