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
import java.util.Scanner;
 
 
 
public class Main {
static int n;
static int S[]=new int[500001];
static int count=0;
 
  public static void merge(int left,int mid,int right){
      int i,j;
      mid=(left+right)/2;
 
      
      ;
      int infty=Integer.MAX_VALUE;
 
      int R[]=new int[mid-left+2];
      int L[]=new int[right-mid+2];
 
      for(i=0;i<mid-left+2;i++){
          L[i]=S[left+i];
      }
      for(i=0;i<right-mid;i++){
          R[i]=S[mid+i];
      }
 
      L[mid-left]=infty;
      R[right-mid]=infty;
    i=0;
    j=0;
 
    for(int k=left;k<right;k++){
        count++;
        if(L[i]<=R[j]){
            S[k]=L[i];
            i++;
        }
        else{
            S[k]=R[j];
            j++;
        }
    }
  }
   
  public static void mergesort(int left,int right){
      if(left+1<right){
          int mid=(left+right)/2;
           
          mergesort(left,mid);
          mergesort(mid,right);
          merge(left,mid,right);
          
      }
  }
   
   
    public static void main(String[] args) {
 
         Scanner sc=new Scanner(System.in);
         n=Integer.parseInt(sc.next());
 
          for(int i=0;i<n;i++){
              S[i]=Integer.parseInt(sc.next());
          }
         
          
          mergesort(0,n);
          
 
              for(int i=0;i<n;i++){
                    String s = String.valueOf(S[i]);
					s += (i==n-1) ? '\n' : ' ';
					System.out.print(s);
/*					
                    if(i==n-1){
					  System.out.println("");
                    } else{
                      System.out.print(" ");
              		}
*/
              }
              System.out.println(count);
  }
}