Sum of Factorials

Problem Background

Special for beginners, ^_^

Problem Description

Given a positive integer $N\;(N \le 200)$, let $S = 1! + 2! + 3! + \dots + N!$. Here ! denotes factorial, i.e. $N! = 1 \times 2 \times 3 \times \dots \times (N-1) \times N$, for example: $3! = 1 \times 2 \times 3 = 6$.

Please write a program that, given a positive integer $N$, outputs the value of $S$.

Input Format

One integer $N$.

Output Format

Output the value of $S$.

Sample Input

4

Sample Output

33

Constraints

1s, 1024KiB for each test case.