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
global cmt                                                     
cmt = 0                                                        
def Merge(left, right):                                        
    global cmt                                                 
    lst = []                                                   
    i, j = 0, 0                                                
    while i < len(left) and j < len(right):                    
        if left[i] <= right[j]:                                
            lst.append(left[i])                                
            i += 1                                             
        else:                                                  
            lst.append(right[j])                               
            j += 1                                             
    lst += left[i:]                                            
    lst += right[j:]                                           
    cmt += len(lst)                                            
                                                               
    return lst                                                 
                                                               
def MergeSort(A):                                              
    if len(A) == 1: return A                                   
    mid = len(A) / 2                                           
    left = MergeSort(A[:mid])                                  
    right = MergeSort(A[mid:])                                 
    #print left, right                                         
    sortedList = Merge(left, right)                            
    return sortedList                                          
                                                               
n = raw_input()                                                
print ' '.join(map(str,MergeSort(map(int, raw_input().split()))
))                                                             
print cmt