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
import sys

def swap(a, i, j):
    tmp = a[j]
    a[j] = a[i]
    a[i] = tmp

def list_to_string(a):
    s = ""
    for n in a:
        s += str(n) + " "
    return s.strip()

num = int(sys.stdin.readline().strip())

array = map(lambda x: int(x), sys.stdin.readline().strip().split(" "))

swap_num = 0

for start_index in range(0, len(array)):
    min_index = start_index
    for index in range(start_index, len(array)):
        if array[min_index] > array[index]:
            min_index = index
    if min_index != start_index:
        swap(array, min_index, start_index)
        swap_num += 1
        

print list_to_string(array)
print str(swap_num)