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 Ruby (judge verdict: Wrong Answer)

loop do
  n = gets.to_i
  break if n == 0
  arr = gets.split(' ').map(&:to_i)

  count = 0
  (n-1).downto(0) do |i|
    max_idx = i
    0.upto(i) do |j|
      max_idx = j if arr[j] > arr[max_idx]
    end

    if max_idx != i
      arr[max_idx], arr[i] = arr[i], arr[max_idx]
      count += 1
    end
  end

  puts arr.join(' ')
  puts count
end