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 Python3 (judge verdict: Accepted)

N = int(input())
A = [int(A) for A in input().split()]
cnt = 0
for i in range(N):
    A_min = i
    for j in range(i, N):
        if A[A_min] > A[j]:
            A_min = j
    if i != A_min:
        t = A[i]
        A[i] = A[A_min]
        A[A_min] = t
        cnt += 1

for i in range(N):
    if i == N - 1:
        print(A[i])
    else:
        print("{}".format(A[i]), end=' ')

print(cnt)