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: Accepted)

class Array
  def swap!(a, b)
    self[a], self[b] = self[b], self[a]
    self
  end
end
def selection_sort(array)
  count = 0
  array.length.times do |index|
    min = array[index]
    min_index = index
    array[index..array.length-1].each_with_index do |value, cindex|
      if min > value
        min_index = cindex + index
        min = value
      end
    end
    if index != min_index
      array.swap! index, min_index
      count += 1
    end
  end
  [array, count]
end

n = gets.to_i
array = gets.split(' ').map(&:to_i)
array, count = selection_sort array
puts array.join(' '), count