Problem:
Selection Sort

Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:

SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]

Note that, indices for array elements are based on 0-origin.

Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.

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 space 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

6
5 6 4 2 1 3

Sample Output 1

1 2 3 4 5 6
4

Sample Input 2

6
5 2 4 6 1 3

Sample Output 2

1 2 3 4 5 6
3

Solution in Scala (judge verdict: Wrong Answer)


object Main {
  def SelectionSort(A: Array[Int]):(Int,Array[Int]) = {
    var count = 0
    def swap(i: Int, j: Int){
      if(i != j){
        count += 1
      }
      val tmp = A(i)
      A(i) = A(j)
      A(j) = tmp
    }

    for(i <- 0 to A.length - 1){
      var mini = i
      for(j <- i + 1 to A.length - 1){
        if (A(j) < A(mini)){
          mini = j
        }
      }
      swap(i,mini)
    }
    (count,A)
  }


  def main(args: Array[String]){
    val N = readLine().map(_.toInt)
    val input = readLine().split(" ").map(_.toInt).toArray
    val result = SelectionSort(input)
    println(result._1)
    println(result._2.mkString(" "))
  }
}