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)

def selection_sort(a, n):
    switch = 0
    for i in range(n):
        minj = i
        for j in range(i, n):
            if a[j] < a[minj]:
                minj = j

        if i != minj:
            temp = a[i]
            a[i] = a[minj]
            a[minj] = temp
            switch += 1
    print(' '.join(map(str, a)))
    print(switch)


def main():
    n = int(input())
    nums = input()
    nums = list(map(int, nums.split(' ')))
    selection_sort(nums, n)


if __name__ == "__main__":
    main()