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 {
	private static Scanner scanner;
	public static void main(String args[]) {

		scanner = new Scanner(System.in);
		int a = scanner.nextInt();
		int[] b = new int[a];
		int minj,count = 0;
		for(int i=0;i < a;i++) b[i] = scanner.nextInt();

		for(int i = 0;i < a;i++) {
			minj = i;
			for(int j = i;j < a;j++) {
				if(b[j] < b[minj]) {
					minj = j;
				}
			}
				if(minj != i) {
					int tmp = b[i];
					b[i] = b[minj];
					b[minj] = tmp;
					count++;
				}
		}
		for(int i=0;i < a;i++) {
			System.out.print(b[i]);
			if(i == a-1) System.out.println("");
			else System.out.print(" ");
		}
		System.out.println(count);
	}
	}

