4203: Domino Piece

Description

Dominoes are gaming pieces used in numerous tile games. Each doimno piece contains two marks. Each mark consists of a number of spots (possibly zero).
The number of spots depends on the set size. Each mark in a size N domino set can contain between 0 and N spots, inclusive. Two tiles are considered identical if their marks have the same number of spots, irregardles of reading order. For example tile with 2 and 8 spot marks is identical to the tile having 8 and 2 spot marks. A proper domino set contains no duplicate tiles. A complete set of size N contains all posible tiles with N or less spots and no duplicate tiles. For example, the complete set of size 2 contains 6 tiles:

Write a program that will determine the total number of spots on all tiles of a complete size N set.

Input

The first and only line of input contains a single integer, N (1 ≤ N ≤ 1000), the size of the complete set.

Output

The first and only line of output should contain a single integer, total number of spots in a complete size N set.

Sample Input

3

Sample Output

12

Source

TOJ

這個題挺好玩的，我列出所有排列吧，第一行可以是0-n，對應下一行可以是0-n，這個第一行0-n的都要出現n+1次，上下相同的要除去，所以直接n*（n+1）（n+2）/2

#include<stdio.h>
int main()
{
    int n;
    scanf("%d",&n);
    printf("%d",n*(n+1)/2*(n+2));
}

TOJ4203: Domino Piece