Please subscribe to the official Codeforces channel in Telegram via the link: https://t.me/codeforces_official.
×

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. I'm bored with life

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputHolidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to leave Vičkopolis and move to Pavlopolis. Thus Leha was left completely alone in a quiet town Vičkopolis. He almost even fell into a depression from boredom!

Leha came up with a task for himself to relax a little. He chooses two integers *A* and *B* and then calculates the greatest common divisor of integers "*A* factorial" and "*B* factorial". Formally the hacker wants to find out GCD(*A*!, *B*!). It's well known that the factorial of an integer *x* is a product of all positive integers less than or equal to *x*. Thus *x*! = 1·2·3·...·(*x* - 1)·*x*. For example 4! = 1·2·3·4 = 24. Recall that GCD(*x*, *y*) is the largest positive integer *q* that divides (without a remainder) both *x* and *y*.

Leha has learned how to solve this task very effective. You are able to cope with it not worse, aren't you?

Input

The first and single line contains two integers *A* and *B* (1 ≤ *A*, *B* ≤ 10^{9}, *min*(*A*, *B*) ≤ 12).

Output

Print a single integer denoting the greatest common divisor of integers *A*! and *B*!.

Example

Input

4 3

Output

6

Note

Consider the sample.

4! = 1·2·3·4 = 24. 3! = 1·2·3 = 6. The greatest common divisor of integers 24 and 6 is exactly 6.

Codeforces (c) Copyright 2010-2018 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Dec/11/2018 20:07:17 (d1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|