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>
#define N 500000

//void Merge_Sort(int,int,int);
//void Merge(int,int,int,int);


int A[N];
int count=0;

/* Merge */
void Merge(int A[],int l,int m,int r){
    int n1,n2;
    int i,j,k;
    int L[N],R[N];
    
    n1=m-l;
    n2=r-m;
    
    for(i=0;i<n1;i++)L[i]=A[l+i];
    for(j=0;j<n2;j++)R[j]=A[m+j];
    
    L[n1] = N;
    R[n2] = N;
    
    i=0;
    j=0;
    
    for(k=l;k<r;k++){
        if(L[i]<=R[j]){
            A[k]=L[i];
            count++;
            i++;
        }else{
            A[k]=R[j];
            count++;
            j++;
        }
    }
    
}

/* Merge Sort */
void Merge_Sort(int A[],int left,int right){
    int mid;
    if(left+1<right){
        mid = (left + right)/2;
        Merge_Sort(A,left,mid);
        Merge_Sort(A,mid,right);
        Merge(A,left,mid,right);
    }
}// End Merge-Sort







int main(int argc , char *argv[]){
    int n,i;
    
    
 /* INCERT　SERIES */
    scanf("%d",&n);
    for(i=0;i<n;i++){
        scanf("%d",&A[i]);
    }
    
 /* -------------- */
    
 /* INCERT FUNCTION */
    
    
    Merge_Sort(A,0,n);
    
 /* -------------- */
    
    
   for(i=0;i<n-1;i++){
        printf("%d ",A[i]);
    }
    printf("%d\n",A[n-1]);
    printf("%d\n",count);
    return 0;
    
}