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)

def selection_sort(array, n)
  count = 0
  0.upto(n-1) do |i|
    min_index = i
    i.upto(n-1) { |j| min_index = j if array[min_index] > array[j] }
    if min_index != i
      array[i], array[min_index] = array[min_index], array[i]
      count += 1
    end
  end
  count
end

def trace(array)
  puts array.join(' ')
end

n = $stdin.gets.chomp.to_i
array = $stdin.gets.chomp.split(' ').map(&:to_i)

count = selection_sort(array, n)
trace(array)
puts count