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 sc = new Scanner(System.in);
		int koukansize = 0;
		int N = sc.nextInt();
		int [] a = new int [N];
		for(int i=0; i<N; i++){
			a[i] = sc.nextInt();
		}
		
		for(int i=0; i<N; i++){
			int minj = i;
			for(int j=i; j<N; j++){
				if(a[j] < a[minj]){
					minj = j;
				}
			}
			if(i!=minj){
				int ste = a[i];
				a[i] = a[minj];
				a[minj] = ste;
				koukansize++;
			}
		
		}
		for(int i=0; i<N-1; i++){
			System.out.print(a[i]+" ");
		}
		System.out.println(a[N-1]);
		System.out.println(koukansize);
		sc.close();
	}
		
}