Fedya and Maths
Description
Fedya 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).
The single line contains a single integer n (0 ≤ n ≤ 10105). The number doesn't contain any leading zeroes.
Print the value of the expression without leading zeros.
Input
The single line contains a single integer n (0 ≤ n ≤ 10105). The number doesn't contain any leading zeroes.
Output
Print the value of the expression without leading zeros.
Samples
4
4
124356983594583453458888889
0
Note
Operation x mod y means taking remainder after division x by y.
Note to the first sample:
