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: Accepted)


#include <stdio.h>


int temp[5000000],count=0;

void MergeSort(int x[ ], int left, int right);
int main(void);

void MergeSort(int x[ ], int left, int right)
{
    int mid, i, j, k;

    if (left >= right)
        return;


    mid = (left + right) / 2;
    MergeSort(x, left, mid);
    MergeSort(x, mid + 1, right);

    for (i = left; i <= mid; i++)
        temp[i] = x[i];

    for (i = mid + 1, j = right; i <= right; i++, j--)
        temp[i] = x[j];

    i = left;
    j = right;

    for (k = left; k <= right; k++){
        if (temp[i] <= temp[j])
            x[k] = temp[i++];
        else
            x[k] = temp[j--];
        count++;
      }
}

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

    MergeSort(x, 0,n - 1);

    for (i = 0; i < n; i++){
        if(i<n-1){
          printf("%d ",x[i]);
        }
        else{
          printf("%d\n",x[i]);
        }
      }
    printf("%d\n",count);
}