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)

def selection_sort! size, target_array
  count = 0
  size.times {|i|
    min = target_array[i..(size - 1)].min
    if min <= target_array[i]
      index_min = target_array.rindex(min)
      target_array[i], target_array[index_min] = target_array[index_min], target_array[i]
      count += 1
    end
  }
  count
end


size = STDIN.gets.chomp.to_i
target_array = STDIN.gets.chomp.split(' ').map{|n|n.to_i}

count = selection_sort!(size, target_array)
puts target_array.join ' '
puts count