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 geta(n=0)
  return $stdin.gets.to_i if n==0
  ar = []
  n.times do 
    ar << $stdin.gets.chomp.split
  end
  return ar.flatten(1) if n<=1
  return ar
end

def exchange(i,n)
  min = Float::INFINITY
  idx = 0
  i.step(n-1) do |j|
    if min > @ar[j]
      min = @ar[j]
      idx = j
    end
  end
  return 0 if idx==i
  @ar[i],@ar[idx] = @ar[idx],@ar[i]
  return 1
end

n = geta(0)
@ar = geta(1).map(&:to_i)

cnt = 0
0.step(n-1) do |i|
  cnt += exchange(i,n)
end

puts @ar.join(" ")
p cnt