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;

class Main {
	public static void main(String args[]) {
		Scanner in = new Scanner(System.in);
		int n = in.nextInt();
		int[] c = new int[n];
		for (int i = 0; i < n; i++) {
			c[i] = in.nextInt();
		}
		selectionSort(c);
		in.close();
	}

	private static void selectionSort(int[] A) {
		int minj;
		int wk;
		int count = 0;
		for (int i = 0; i < A.length; i++) {
			minj = i;
			for (int j = i; j < A.length; j++) {
				if (A[j] < A[minj]) {

					minj = j;

				}

			}
			if(minj!=i) {
				wk=A[minj];
				A[minj]=A[i];
				A[i]=wk;
				count+=1;
			}
		}

		StringBuilder sb = new StringBuilder();
		for (int i = 0; i < A.length; i++) {
			if (i > 0) {
				sb.append(" ");
			}
			sb.append(A[i]);

		}
		System.out.println(sb.toString());
		System.out.println(count);
	}

}

