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)

count = 0
n = gets.chomp.to_i
array = gets.split(" ").map{|x| x.to_i}
 
i = 0
while i<n
  j = i+1
  k = i
  while j<n
    if array[k] > array[j]
      k = j
    end  
    j = j+1
  end
  if k != i
  array[k],array[i] = array[i],array[k]
  count = count + 1
  end
  i=i+1
end
 
i = 0
while i < n 
  print array[i] 
  if i+1 != n
  print " "
  end
  i = i+1
end
print "\n"
print count
print "\n"