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 PHP (judge verdict: Accepted)

<?php
$n = trim(fgets(STDIN));
$a = explode(' ', trim(fgets(STDIN)));
$swapped = 0;
$flag = true;

for ($i=0; $flag; $i++) {
  $flag = false;

  for ($j=$n - 1; $j >= $i + 1; $j--) {
    if ($a[$j] < $a[$j - 1]) {
      $tmp = $a[$j];
      $a[$j] = $a[$j - 1];
      $a[$j - 1] = $tmp;
      $flag = true;
      $swapped++;
    }
  }
}

echo implode(' ', $a) . PHP_EOL;
echo $swapped . PHP_EOL;