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

B. Fedya and Maths

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputFedya studies in a gymnasium. Fedya's maths hometask is to calculate the following expression:

for given value of *n*. Fedya managed to complete the task. Can you? Note that given number *n* can be extremely large (e.g. it can exceed any integer type of your programming language).

Input

The single line contains a single integer *n* (0 ≤ *n* ≤ 10^{105}). The number doesn't contain any leading zeroes.

Output

Print the value of the expression without leading zeros.

Examples

Input

4

Output

4

Input

124356983594583453458888889

Output

0

Note

Operation *x* *mod* *y* means taking remainder after division *x* by *y*.

Note to the first sample:

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jul/23/2017 15:45:32 (c2).

Desktop version, switch to mobile version.

User lists

Name |
---|