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.

Constraints

1 ≤ N ≤ 100

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.

Examples

Input

6
5 6 4 2 1 3


Output

1 2 3 4 5 6
4


Input

6
5 2 4 6 1 3


Output

1 2 3 4 5 6
3
import java.util.Scanner;

public class Main
{
    public static void main(String[] args)
    {
	Scanner In = new Scanner(System.in);

	int n = In.nextInt();

	int []a = new int[n];

	for(int i = 0; i < n; i++)
	     a[i] = In.nextInt();


	int count = 0;

	for(int i = 0; i < n - 1; i++)
	    {
		int minj = i;

		for(int j = i; j < n; j++)
		    {
			if(a[j] < a[minj])
			    {
				minj = j;
			
			    }
			
		    }	
		if(minj != i)
		    {
			int tmp = a[i];
			a[i] = a[minj];
			a[minj] = tmp;	
			count++;
		    }
	    }

	for(int i = 0; i < n - 1; i++)
	    System.out.print(a[i] + " ");

	System.out.println(a[n - 1]);
	System.out.println(count);
    

    }
}