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.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;

// ALDS1_5_B
public class Main {
	int SENTINEL = 1234567890;
	int sum = 0;
	void merge(int[]A, int left, int mid, int right) {
		int n1 = mid - left + 1;
		int n2 = right - mid;
		int[] L = new int[n1 + 1];
		int[] R = new int[n2 + 1];
		for (int i = 0; i < n1; i++) {
			L[i] = A[left + i];
		}
		for (int i = 0; i < n2; i++) {
			R[i] = A[mid + 1 + i];
		}
		L[n1] = SENTINEL;
		R[n2] = SENTINEL;
		int i = 0;
		int j = 0;
		for (int k = left; k <= right; k++) {
			sum += 1;
			if (L[i] <= R[j]) {
				A[k] = L[i];
				i = i + 1;
			} else {
				A[k] = R[j];
				j = j + 1;
			}
	    }
	}

	void mergeSort(int[] A, int left, int right) {
	    	if (left < right) {
	    		int mid = (left + right)/2;
	    		mergeSort(A, left, mid);
	    		mergeSort(A, mid + 1, right);
	    		merge(A, left, mid, right);
	  	}
	}
	    
	    
	void run() throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		int[] S = new int[n];
		String[] str = br.readLine().split(" ");
		for (int i = 0; i < str.length; i++) {
			S[i] = Integer.parseInt(str[i]);
		}
		mergeSort(S, 0, n - 1);
		for (int i = 0; i < S.length; i++) {
    			if (i == S.length - 1) System.out.println(S[i]);
    			else System.out.print(S[i] + " ");
		}
		System.out.println(sum);
	}
	
	public static void main(String[] args) throws IOException {
		new Main().run();
	}
}

