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.

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

Note to the first sample: