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 scan = new Scanner (System.in);
		int n = scan.nextInt();
		int data[] = new int[n];
		int min, count = 0, a;
		
		for (int i = 0; i < n; i++) {
			data[i] = scan.nextInt();
		}
		scan.close();
		
		for (int i = 0; i < n - 1; i++) {
			min = i;
			for ( int j = i + 1; j < n; j++) {
				if (data[min] > data[j]) min = j;
			}
			if ( i != min) {
				a = data[i];
				data[i] = data[min];
				data[min] = a;
				count++;
			}
		}
		
		for (int i = 0; i < n; i++) {
			if (i == n - 1) {
				System.out.println(data[i]);
				System.out.println(count);
			} else {
				System.out.print(data[i] + " ");
			}
		}
	}
}

