Problem:
Selection Sort

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.

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.

Constraints

1 ≤ N ≤ 100

Sample Input 1

6
5 6 4 2 1 3

Sample Output 1

1 2 3 4 5 6
4

Sample Input 2

6
5 2 4 6 1 3

Sample Output 2

1 2 3 4 5 6
3

Solution in C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;

namespace CSharpSample01
{


    class Program
    {

        static int cnt = 0;

        static void Selection_Sort(int[] data_ary)
        {
            int length = data_ary.Length;

            for(int ch_in = 0; ch_in < length - 1; ch_in++)
            {
                int min = data_ary[ch_in];
                int min_in = ch_in;
                for(int seek_in = ch_in + 1; seek_in < length; seek_in++)
                {
                    if(min > data_ary[seek_in])
                    {
                        min = data_ary[seek_in];
                        min_in = seek_in;                    
                    }
                }
                if (data_ary[ch_in] != data_ary[min_in]) cnt++;
                int tmp = data_ary[ch_in];
                data_ary[ch_in] = min;
                data_ary[min_in] = tmp;           
            }
            
        }
        

        static void Main(string[] args)
        {
            int n = int.Parse(Console.ReadLine());
            int[] data_ary = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();

            Selection_Sort(data_ary);

            Console.WriteLine(String.Join(" ", data_ary));
            Console.WriteLine(cnt);
        }
    }
}