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 JavaScript (judge verdict: Accepted)

const line = require('fs').readFileSync('/dev/stdin', 'utf-8').split('\n');

let cnt = 0;

const merge = (arr, left, mid, right) => {
    const n1 = mid - left;
    const n2 = right - mid;
    const L = [];
    const R = [];

    for (let i = 0; i < n1; i++) {
        L[i] = arr[left + i];
    }
    for (let i = 0; i < n2; i++) {
        R[i] = arr[mid + i];
    }

    L[n1] = Number.MAX_VALUE;
    R[n2] = Number.MAX_VALUE;

    let i = 0;
    let j = 0;
    for (let k = left; k < right; k++) {
        cnt++;
        if (L[i] <= R[j]) {
            arr[k] = L[i];
            i++;
        } else {
            arr[k] = R[j];
            j++;
        }
    }
};

const msort = (arr, left, right) => {
    if (left + 1 < right) {
        const mid = Math.floor((left + right) / 2);
        msort(arr, left, mid);
        msort(arr, mid, right);
        merge(arr, left, mid, right);
    }
};

const data = line[1].split(' ').map(Number);
msort(data, 0, data.length);
console.log(data.join(' '));
console.log(cnt);