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.

Constraints

1 ≤ N ≤ 100

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.

Examples

Input

6
5 6 4 2 1 3


Output

1 2 3 4 5 6
4


Input

6
5 2 4 6 1 3


Output

1 2 3 4 5 6
3
def selection_sort(numbers, n):
    """selection sort method

    Args:
        numbers: a list of numbers to be sorted
        n: len(numbers)

    Returns:
        sorted numberd, number of swapped times
    """
    counter = 0
    for i in range(0, n - 1):
        min_j = i
        for j in range(i + 1, n):
            if numbers[j] < numbers[min_j]:
                min_j = j
        if min_j != i:
            numbers[min_j], numbers[i] = numbers[i], numbers[min_j]
            counter += 1
    return numbers, counter


length = int(raw_input())
numbers = [int(x) for x in raw_input().split()]

numbers, number_of_swapped_times = selection_sort(numbers, length)
print(" ".join([str(x) for x in numbers]))
print(number_of_swapped_times)