Big Factorials

Limits 1s, 512 MB

Given an integer N, print the trailing 4 digits of N!N! (N factorial).

N!=N×(N1)×(N2)×...×1N! = N \times (N-1) \times (N-2) \times ... \times 1

Here are some examples of N!N! and their last 4 digits.

NN Factorial (N!N!)Last 4 Digits
366
750405040
11399168006800
1513076743680008000

Input

The input will contain an integer NN (0<N<10000 < N < 1000).

Output

Print the last 4 digits of N!N!. In case N!N! has less than 4 digits, do not print any leading zeros.

Samples

InputOutput
4
24
InputOutput
10
8800