Uolevi has created the following algorithm:

long long z = 0;
for (int a = 1; a <= n; a++)
    for (int b = a; b <= n; b++)
        for (int c = a; c <= b; c++)
            z++;
cout << z << "\n";

Your task is to find out what the algorithm prints.

Input

The only input line contains an integer n: the input for the algorithm.

Output

Print the value of z at the end of the algorithm.

Constraints

• 1 \le n \le 10^6

Example

Input:

5

Output:

35