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 Kotlin (judge verdict: Accepted)

fun main(args: Array<String>) {
  readLine()
  val array = readLine()
    ?.split("\\s+".toRegex())
    ?.map(String::toInt)
    ?.toIntArray()
    ?:intArrayOf()
  var cnt = 0
  for (i in array.indices) {
    for (j in array.size - 2 downTo i) {
      if (array[j] > array[j+1]) {
        array.swap(j, j+1)
        cnt++
      }
    }
  }
  println(array.joinToString(" "))
  println(cnt)
}

fun IntArray.swap(i: Int, j: Int) {
  val tmp = this[i]
  this[i] = this[j]
  this[j] = tmp
}