Write a program of a Merge Sort algorithm implemented by the following pseudocode. You should also report the number of comparisons in the Merge function.


Merge(A, left, mid, right)
n1 = mid - left;
n2 = right - mid;
create array L[0...n1], R[0...n2]
for i = 0 to n1-1
do L[i] = A[left + i]
for i = 0 to n2-1
do R[i] = A[mid + i]
L[n1] = SENTINEL
R[n2] = SENTINEL
i = 0;
j = 0;
for k = left to right-1
if L[i] <= R[j]
then A[k] = L[i]
i = i + 1
else A[k] = R[j]
j = j + 1

Merge-Sort(A, left, right){
if left+1 < right
then mid = (left + right)/2;
call Merge-Sort(A, left, mid)
call Merge-Sort(A, mid, right)
call Merge(A, left, mid, right)


Notes

Constraints

* n ≤ 500000
* 0 ≤ an element in S ≤ 109

Input

In the first line n is given. In the second line, n integers are given.

Output

In the first line, print the sequence S. Two consequtive elements should be separated by a space character.

In the second line, print the number of comparisons.

Example

Input

10
8 5 9 2 6 3 7 1 10 4


Output

1 2 3 4 5 6 7 8 9 10
34
def merge(data, left, mid, right, count):
    n1 = mid - left
    n2 = right - mid 
    L = []
    R = []
    for i in range(n1):
        L.append(data[left+i])
    for i in range(n2):
        R.append(data[mid+i])
    L.append(float('inf'))
    R.append(float('inf'))
    i = 0 
    j = 0 
    for k in range(left, right):
        if L[i] <= R[j]:
            data[k] = L[i]
            i += 1
            count += 1
        else:
            data[k] = R[j]
            j += 1
            count += 1
    return count

def merge_sort(data, left, right, count):
    if left + 1 < right:
        mid = (left + right) / 2 
        count = merge_sort(data, left, mid, count)
        count = merge_sort(data, mid, right, count)
        count = merge(data, left, mid, right, count)
    return count

def main():
    num = raw_input()
    num_list = raw_input().split()
    num_list = map(int, num_list)
    count = merge_sort(num_list, 0, len(num_list), 0)
    num_list =  map(str, num_list)
    print " ".join(num_list)
    print count

if __name__ == '__main__':
    main()