Please show all steps and workings $.$ Explain the logic behind the solution and the prblem and also explain each line of code so that the solution can be understood $.$ Given an integer $N,$ print the trailing $4$ digits of $N!(N$ factorial$).$

$NN(N-1)(N-2)$dots$1$

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

$N$

$N$ Factorial $(N!)$

$6$

$3$

$6$

$5040$

$39916800$

$1307674368000$

$15$

$1307674368000$

Input

The input will contain an integer $NN6$ Samples

Input

Output

$4$

$24$

Input

Output

$10$

$8800$PlePl