Problem:
Merge Sort

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)

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.

Constraints

n ≤ 500000

0 ≤ an element in S ≤ 109

Sample Input 1

10
8 5 9 2 6 3 7 1 10 4

Sample Output 1

1 2 3 4 5 6 7 8 9 10
34

Notes

Solution in C (judge verdict: Wrong Answer)

#include <stdio.h>


void merge(int,int,int);
void mergeSort(int,int);

#define MAX 500000
#define MAX2 100000000
int A[MAX],L[MAX],R[MAX],N,count=0,left=0,right;

int main(){
  int i;
  scanf("%d",&N);
  for(i=0;i<N;i++){
    scanf("%d",&A[i]);
  }

  right=N;
  mergeSort(left,right);

  for (i=0;i<N-1;i++){
    printf("%d ", A[i]);
  }

  printf("%d\n",A[N-1]);
  printf("%d\n",count);

  return 0;
}


void merge(int left,int mid,int right){
  int n1,n2,k,i,j;
  n1 = mid - left;
  n2 = right - mid;
  //L[0...n1], R[0...n2] ?????????
  for( i = 0 ;i< n1;i++){
    L[i] = A[left + i];
  }
  for(i = 0;i<n2;i++){
    R[i] = A[mid + i];
  }
  L[n1] = MAX2;
  R[n2] = MAX2;
  i = 0;
  j = 0;
  for(k = left ;k<right;k++){
    count++;
    if(L[i] <= R[j]){
      A[k] = L[i];
      i = i + 1;
    }
    else {
      A[k] = R[j];
      j = j + 1;
    }
  }

}

void mergeSort(int left,int right){
  int mid;
  if(left+1<right){
    mid = (left + right)/2;
    mergeSort(left, mid);
    mergeSort(mid, right);
    merge(left, mid, right);

  }

}